Search is not available for this dataset
input_ids
listlengths
1
2.05k
attention_mask
listlengths
1
2.05k
[ 780, 2414, 2328, 1524, 891, 2909, 1749, 28879, 267, 4952, 3168, 693, 519, 1895, 689, 2451, 547, 1318, 269, 1284, 946, 5022, 899, 1412, 320, 3299, 1412, 321, 3299, 543, 1412, 322, 262, 547, 5815, 875, 1082, 22204, 1847, 936, 610, 896, 1776, 18843, 269, 3973, 267, 1224, 1055, 519, 5311, 1759, 593, 707, 8343, 269, 1280, 1383, 267, 519, 2034, 2909, 573, 630, 13312, 8183, 645, 264, 3587, 1412, 629, 262, 780, 3086, 602, 649, 917, 1018, 2909, 1749, 616, 11617, 543, 7223, 1227, 1577, 781, 1589, 827, 14921, 1079, 2909, 1749, 1927, 269, 5994, 7705, 267, 7585, 267, 543, 24898, 1101, 1685, 2909, 573, 705, 267, 4553, 676, 7900, 2909, 573, 27976, 269, 1215, 1131, 596, 4766, 741, 5916, 3350, 286, 3807, 1246, 891, 3268, 1384, 272, 269, 9524, 2909, 573, 705, 563, 273, 269, 3767, 1747, 519, 4611, 12122, 2427, 8386, 20933, 609, 519, 3355, 2990, 540, 2909, 573, 27976, 563, 274, 269, 4045, 7222, 7475, 1063, 519, 1079, 19383, 563, 275, 269, 7053, 267, 1065, 3789, 519, 22204, 952, 2877, 547, 1106, 513, 4570, 2909, 573, 780, 3528, 1739, 891, 3268, 267, 596, 3489, 519, 1587, 2909, 573, 4949, 2421, 269, 18564, 602, 8691, 3884, 1405, 862, 32477, 267, 2495, 1931, 6927, 2439, 1103, 1483, 1272, 267, 2909, 4575, 2326, 971, 607, 20612, 610, 4552, 5012, 721, 547, 2307, 2055, 827, 2009, 2189, 10659, 269, 4223, 11490, 2103, 4898, 2436, 1978, 2516, 267, 899, 1346, 4646, 676, 2909, 1749, 267, 2671, 10486, 609, 1134, 8153, 3283, 269, 1635, 4974, 2909, 1749, 998, 15821, 4834, 543, 3308, 1944, 873, 3842, 12222, 267, 3173, 10625, 9670, 6402, 1063, 3309, 4610, 899, 6323, 267, 2780, 2257, 267, 543, 1148, 2439, 3383, 1985, 942, 596, 1404, 609, 707, 3659, 781, 4552, 610, 2259, 1119, 532, 15524, 601, 2167, 267, 3314, 602, 972, 781, 513, 2898, 7122, 7996, 547, 581, 8268, 3330, 1346, 6946, 1000, 597, 3149, 543, 7140, 269, 1411, 1175, 3576, 707, 1101, 1900, 2509, 1620, 4858, 573, 7869, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4537, 641, 3690, 576, 1853, 1656, 3590, 5071, 1280, 7913, 18058, 454, 763, 6300, 1098, 576, 1853, 543, 1062, 1374, 1058, 581, 11504, 547, 513, 2556, 4550, 28104, 4594, 545, 540, 6214, 267, 9621, 2790, 32613, 2209, 540, 17389, 2754, 267, 2418, 267, 11269, 543, 5013, 543, 3536, 540, 2597, 269, 8316, 9469, 262, 10500, 559, 5573, 540, 713, 32633, 1400, 855, 25516, 3364, 814, 513, 4028, 15205, 538, 519, 20230, 540, 5567, 269, 634, 12670, 10789, 1235, 281, 674, 13681, 523, 3780, 543, 594, 269, 711, 4607, 1369, 476, 274, 547, 476, 276, 3778, 2835, 269, 17033, 3177, 1369, 476, 274, 547, 476, 276, 1871, 2853, 563, 2252, 596, 723, 13156, 513, 6297, 6300, 1098, 576, 1853, 263, 610, 1434, 4552, 799, 568, 8370, 4458, 6040, 827, 519, 6399, 1070, 519, 28731, 29358, 543, 28731, 26228, 10318, 514, 1218, 786, 11408, 1711, 5461, 269, 827, 267, 585, 4731, 11526, 14077, 789, 723, 2760, 865, 581, 547, 581, 1979, 27370, 1670, 269, 2659, 5680, 960, 568, 1152, 1634, 585, 1665, 1575, 269, 2368, 476, 807, 540, 2622, 29272, 786, 711, 10143, 1434, 269, 2659, 2963, 26082, 3117, 30872, 519, 948, 3849, 2419, 7860, 8530, 14215, 299, 20235, 24404, 916, 7468, 643, 2329, 15648, 12892, 7423, 540, 891, 563, 3333, 641, 1098, 576, 1853, 543, 1062, 1374, 585, 540, 8752, 676, 631, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 289, 12295, 7869, 257, 607, 851, 540, 834, 21316, 30388, 1315, 5440, 1108, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 15536, 9798, 281, 634, 1715, 13571, 1512, 538, 2817, 543, 4139, 8232, 692, 1103, 2221, 781, 3059, 2085, 267, 14590, 814, 1831, 606, 5051, 1271, 2460, 540, 3084, 543, 3486, 3354, 269, 3245, 7863, 6213, 2229, 1344, 547, 17420, 2123, 1239, 267, 519, 4539, 540, 6880, 6285, 666, 581, 2484, 23568, 543, 14042, 269, 769, 713, 3184, 267, 649, 786, 2263, 519, 1523, 540, 14590, 1369, 519, 2796, 540, 2797, 2257, 543, 4983, 922, 1909, 538, 5935, 2413, 3354, 11407, 780, 8139, 15536, 9798, 454, 10900, 21387, 4263, 922, 4295, 267, 14590, 4016, 547, 519, 2853, 543, 3800, 3144, 547, 2149, 5904, 267, 5121, 267, 543, 1239, 689, 18977, 1569, 267, 946, 267, 23930, 267, 17522, 267, 14842, 267, 610, 9552, 269, 898, 3322, 513, 1950, 16799, 1063, 2029, 267, 3609, 267, 543, 1480, 2623, 267, 8506, 3586, 28858, 543, 9542, 547, 3251, 6619, 540, 6932, 6937, 780, 30399, 267, 14590, 729, 5097, 7255, 609, 7303, 17351, 2534, 23608, 689, 1367, 21190, 610, 1507, 2516, 540, 31487, 269, 1717, 267, 607, 4182, 32145, 723, 13175, 547, 5431, 519, 1761, 1379, 540, 2166, 1499, 10628, 607, 513, 1907, 585, 8236, 7580, 6859, 267, 1533, 17898, 29107, 6880, 17611, 32025, 543, 13137, 723, 7153, 607, 1713, 4145, 269, 901, 6521, 2509, 811, 6896, 543, 10427, 3029, 540, 6880, 14699, 19329, 513, 7222, 4720, 538, 875, 6608, 267, 3906, 267, 543, 2043, 1935, 14590, 780, 13750, 13786, 525, 547, 15536, 21784, 338, 454, 5785, 692, 2026, 6880, 6937, 3136, 547, 11457, 267, 1082, 2829, 723, 2919, 6131, 14590, 2994, 6322, 693, 29103, 1359, 741, 23640, 1996, 1312, 6469, 543, 4914, 10779, 2456, 269, 1452, 3646, 1419, 4125, 5698, 1063, 1857, 543, 4357, 5823, 11051, 267, 9301, 602, 2500, 14590, 3340, 513, 2898, 6361, 1606, 1539, 1214, 1935, 780, 3080, 8037, 1383, 540, 971, 9316, 568, 519, 2475, 4972, 540, 13067, 14657, 8232, 781, 630, 291, 9391, 264, 11450, 609, 2565, 5989, 9922, 267, 1519, 2883, 2533, 267, 3782, 267, 543, 1648, 267, 547, 2671, 3463, 4987, 543, 11282, 10071, 3210, 269, 6684, 267, 7341, 899, 519, 3864, 5742, 10837, 585, 8416, 543, 6176, 8232, 630, 2894, 26721, 264, 3343, 547, 6536, 3444, 31215, 5698, 1851, 9167, 4759, 2829, 538, 5466, 3838, 6880, 2591, 780, 17220, 29046, 543, 11870, 338, 454, 5785, 14945, 19741, 24845, 11650, 543, 6237, 21769, 267, 972, 616, 5571, 3646, 547, 3715, 2518, 8155, 12044, 3743, 1533, 2623, 538, 2166, 1499, 10628, 269, 1280, 3236, 267, 519, 2136, 8315, 6828, 540, 6554, 531, 20226, 630, 294, 12283, 264, 814, 3812, 1896, 5359, 24152, 3741, 585, 3743, 1533, 2623, 538, 519, 946, 540, 23559, 338, 267, 799, 1331, 1201, 20995, 689, 10647, 610, 917, 5944, 5885, 23559, 2238, 14669, 547, 6167, 25943, 14074, 543, 18245, 1480, 2924, 2228, 780, 4913, 267, 5103, 891, 8942, 547, 13798, 1518, 11807, 2932, 538, 2166, 1499, 10628, 267, 24895, 26251, 3823, 1883, 2152, 971, 607, 5316, 1081, 267, 15658, 5270, 267, 543, 519, 3498, 540, 4540, 3486, 1876, 547, 2166, 1499, 10628, 269, 1306, 513, 1267, 267, 9591, 2312, 543, 24080, 7608, 8155, 3788, 606, 21792, 3804, 780, 31306, 19648, 585, 15536, 9798, 8889, 454, 14343, 7042, 300, 8221, 4464, 267, 621, 568, 2629, 602, 14519, 9772, 513, 14942, 543, 13261, 18879, 2509, 14590, 267, 14344, 519, 2479, 21608, 2470, 540, 519, 3463, 5251, 269, 901, 949, 4125, 10115, 538, 1382, 543, 1646, 547, 1711, 5499, 3435, 267, 5807, 13007, 998, 2069, 543, 2866, 3292, 267, 543, 5009, 3152, 11413, 543, 12477, 538, 2166, 1499, 10628, 780, 13010, 267, 2016, 519, 20244, 10562, 1915, 540, 2166, 1499, 10628, 267, 3486, 9316, 786, 2611, 1898, 585, 3927, 5466, 6880, 6937, 269, 1635, 2324, 1927, 267, 6082, 666, 7535, 2200, 267, 6791, 267, 543, 1702, 547, 4831, 1455, 14763, 543, 7794, 7104, 6043, 1996, 2104, 6285, 780, 6962, 454, 29603, 1103, 5758, 267, 14590, 4564, 513, 4105, 5057, 540, 4207, 3084, 543, 3486, 3354, 10850, 269, 4706, 15491, 2470, 7569, 6024, 6278, 2066, 1585, 10459, 267, 8151, 689, 6639, 5647, 547, 20320, 5188, 269, 3414, 13447, 539, 3646, 693, 782, 2157, 1107, 1367, 267, 10721, 267, 543, 6848, 1107, 649, 666, 1628, 7347, 23640, 5827, 540, 19086, 1256, 519, 1034, 10427, 6880, 6937, 1247, 8497, 519, 22371, 543, 5191, 602, 5581, 519, 4950, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 303, 3317, 25187, 22711, 590, 772, 631, 631, 661, 681, 454, 301, 3036, 32602, 18027, 2752, 11862, 2316, 20911, 700, 685, 6858, 590, 7417, 16775, 9215, 11555, 297, 10013, 292, 2793, 15288, 5990, 700, 5308, 4888, 294, 5085, 2464, 29376, 2464, 454, 299, 14019, 1855, 527, 601, 29231, 23370, 22218, 454, 27455, 525, 6199, 5071, 590, 2894, 296, 3036, 28132, 6020, 289, 308, 16249, 654, 305, 25604, 454, 299, 785, 25669, 23093, 571, 5633, 28132, 6020, 289, 308, 16249, 654, 305, 3951, 8991, 454, 288, 22781, 6997, 328, 29871, 2904, 333, 731, 11682, 5588, 24209, 454, 28846, 590, 269, 595, 20482, 821, 3627, 16026, 20917, 674, 584, 2006, 23893, 518, 16679, 18238, 320, 700, 753, 1676, 2051, 514, 30766, 517, 25723, 7034, 25492, 454, 18721, 269, 1575, 3317, 12975, 270, 531, 30282, 270, 531, 4379, 6359, 16067, 270, 918, 7417, 303, 5442, 570, 5495, 6224, 454, 306, 754, 3377, 543, 6337, 547, 519, 3007, 540, 519, 9375, 269, 2910, 305, 3918, 290, 16739, 454, 9336, 4674, 814, 1044, 1500, 547, 2327, 6111, 269, 1284, 2709, 938, 25442, 3284, 3098, 585, 1022, 1462, 7240, 6959, 610, 9631, 3827, 269, 7490, 4464, 1022, 28303, 547, 519, 3007, 540, 281, 32632, 1855, 527, 601, 29231, 15503, 267, 24282, 4521, 4750, 2160, 540, 12425, 4521, 3427, 476, 12573, 272, 590, 22095, 9335, 15740, 267, 13698, 476, 4489, 6860, 23140, 4041, 15771, 24535, 476, 21497, 476, 6872, 274, 476, 278, 1240, 273, 14174, 311, 476, 21497, 476, 6872, 274, 476, 1708, 271, 661, 7246, 6579, 4757, 11333, 2593, 12164, 301, 17614, 23166, 623, 2894, 301, 32045, 454, 18721, 269, 1575, 3317, 12975, 7711, 303, 3317, 25187, 674, 19781, 19447, 10498, 3068, 1504, 2593, 9706, 3317, 18721, 570, 9331, 13993, 305, 30779, 18721, 6745, 3518, 331, 337, 2593, 32045, 590, 29558, 5357, 25723, 7034, 25492, 454, 763, 2160, 540, 12425, 2418, 4763, 543, 11394, 16805, 1053, 267, 31399, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24426, 828, 9798, 257, 607, 851, 540, 834, 303, 27773, 13316, 1315, 8232, 630, 13233, 1299, 4139, 29215, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 25779, 17553, 281, 589, 11202, 3118, 547, 8682, 6953, 27626, 543, 9608, 12618, 692, 7072, 692, 2026, 3425, 267, 649, 616, 29040, 609, 606, 17916, 7287, 547, 2087, 6000, 267, 547, 1831, 1732, 8747, 540, 945, 649, 616, 269, 901, 1391, 585, 1582, 21553, 2889, 22777, 1419, 5012, 721, 1524, 519, 2619, 540, 3804, 4259, 910, 519, 1184, 540, 7114, 1018, 649, 1616, 547, 3035, 543, 2870, 513, 1544, 547, 1118, 621, 4755, 269, 1717, 267, 5103, 922, 18451, 18709, 267, 1082, 1004, 6560, 609, 2500, 3804, 4259, 267, 3056, 547, 17140, 267, 29359, 267, 543, 10205, 618, 540, 741, 17050, 269, 769, 713, 3184, 267, 649, 786, 2263, 519, 1148, 543, 2257, 540, 3804, 4259, 267, 5373, 2390, 4030, 689, 6530, 267, 23798, 267, 543, 6138, 547, 1683, 513, 11455, 543, 4052, 3391, 585, 2852, 1053, 5275, 547, 10244, 519, 1379, 540, 3853, 538, 741, 2123, 2208, 3460, 780, 8139, 17644, 543, 4256, 11957, 692, 4263, 922, 4295, 267, 513, 3804, 4564, 513, 5551, 6364, 610, 1439, 4812, 602, 3340, 4674, 267, 4058, 267, 543, 16177, 547, 12492, 269, 17644, 666, 4268, 4922, 538, 9165, 267, 23506, 267, 543, 6988, 267, 8151, 689, 27217, 4247, 899, 11264, 6780, 10467, 547, 3138, 11998, 27606, 971, 607, 13197, 513 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 1142, 3197, 6418, 4555, 269, 21701, 5532, 891, 3197, 609, 6287, 1292, 13865, 6698, 281, 519, 2777, 543, 519, 1079, 31910, 1206, 269, 1306, 519, 2777, 17236, 267, 1142, 1915, 781, 2990, 1472, 519, 2777, 2047, 1644, 547, 875, 789, 1745, 827, 741, 1920, 4282, 269, 7395, 27932, 5433, 602, 519, 2777, 729, 513, 851, 540, 1200, 1280, 7395, 27932, 267, 519, 2777, 4371, 8823, 540, 1200, 543, 1200, 1920, 269, 1306, 1200, 10571, 8593, 1055, 1200, 538, 2370, 3109, 1957, 344, 1166, 1389, 538, 519, 3595, 267, 2694, 540, 1200, 941, 4503, 609, 519, 2777, 263, 273, 1040, 1546, 324, 267, 593, 519, 824, 1688, 267, 729, 2484, 689, 519, 11876, 282, 2224, 267, 20406, 23622, 593, 519, 8781, 2777, 2394, 621, 729, 4625, 10032, 269, 1546, 324, 1705, 711, 7287, 547, 581, 2404, 609, 1200, 1920, 267, 899, 1352, 1705, 711, 1616, 547, 581, 2404, 609, 519, 2777, 269, 5637, 941, 3500, 547, 1689, 543, 6166, 547, 519, 3527, 540, 519, 1158, 3544, 540, 1200, 1920, 781, 1378, 9395, 5858, 269, 634, 31910, 1206, 1185, 513, 2147, 2495, 855, 5921, 1945, 1019, 535, 325, 5166, 585, 7395, 27932, 543, 1546, 324, 269, 1280, 7395, 27932, 267, 519, 844, 2830, 729, 513, 3095, 547, 1200, 20516, 543, 1200, 1920, 781, 2250, 269, 1546, 324, 4718, 519, 844, 2830, 1152, 607, 1148, 602, 729, 9389, 1176, 3407, 269, 6145, 519, 2777, 267, 519, 844, 2830, 6719, 513, 1920, 781, 6561, 269, 1546, 324, 781, 3643, 1305, 519, 3942, 585, 1082, 4401, 545, 6898, 269, 11635, 344, 610, 32475, 1063, 2093, 543, 4641, 267, 666, 581, 2938, 538, 1018, 1546, 324, 1131, 899, 1200, 1920, 547, 581, 543, 1018, 2731, 568, 269, 20613, 1746, 585, 1546, 324, 781, 12625, 267, 1200, 3993, 1071, 282, 660, 6374, 919, 602, 3017, 281, 769, 1483, 1272, 267, 296, 993, 513, 1804, 267, 2462, 13755, 539, 4807, 267, 609, 812, 2324, 3946, 269, 1547, 1547, 1809, 540, 1576, 782, 713, 1281, 711, 1397, 593, 8613, 269, 594, 993, 519, 1259, 1250, 8250, 6499, 803, 454, 26607, 11888, 267, 5437, 476, 277, 267, 476, 1001, 280, 454, 9083, 10432, 476, 273, 4750, 15863, 4855, 606, 2376, 602, 12211, 538, 930, 1259, 547, 519, 1919, 649, 723, 1044, 6158, 827, 538, 1362, 269, 5681, 3405, 1125, 519, 2376, 267, 1287, 4431, 547, 621, 538, 930, 1259, 269, 13531, 267, 10990, 267, 610, 824, 269, 4208, 1705, 596, 4584, 621, 286, 1215, 1281, 621, 1921, 547, 938, 1362, 286, 2290, 5037, 5758, 540, 2707, 269, 2290, 5037, 3210, 547, 2707, 269, 3417, 513, 3095, 547, 519, 1257, 269, 9701, 581, 827, 476, 7742, 1913, 538, 3259, 563, 306, 1495, 599, 267, 5437, 476, 274, 267, 476, 1001, 280, 454, 1103, 3179, 1222, 2689, 1957, 910, 4828, 7151, 634, 1867, 11828, 827, 519, 1565, 6591, 676, 519, 954, 26234, 1282, 519, 22631, 1222, 26022, 269, 634, 2754, 602, 814, 1044, 2028, 539, 693, 568, 18279, 23745, 12728, 14214, 24149, 10634, 338, 17721, 918, 2033, 334, 515, 7345, 9995, 8663, 25943, 269, 634, 2754, 9043, 814, 1044, 11828, 2059, 609, 519, 5692, 267, 5075, 267, 543, 3853, 540, 519, 2754, 269, 1306, 621, 568, 513, 3028, 3246, 2754, 267, 621, 568, 1360, 1271, 547, 2327, 602, 5561, 2611, 13854, 269, 634, 1034, 1271, 3364, 4121, 1282, 519, 22631, 1222, 26022, 941, 519, 2081, 540, 1739, 909, 609, 5561, 267, 14379, 609, 873, 538, 606, 2500, 6073, 267, 543, 4180, 602, 782, 741, 14511, 543, 22027, 616, 12943, 538, 513, 25685, 6073, 269, 634, 1867, 9356, 2390, 519, 2833, 519, 954, 26234, 1185, 609, 519, 5561, 269, 898, 729, 19927, 602, 782, 5561, 723, 8795, 562, 2137, 543, 741, 11994, 827, 1919, 949, 4268, 689, 6075, 547, 6075, 269, 634, 954, 26234, 2919, 1082, 1007, 1983, 543, 25509, 519, 3283, 602, 2877, 6454, 609, 519, 948, 540, 713, 22631, 1222, 538, 519, 2951, 2872, 269, 634, 2012, 540, 519, 3919, 568, 18279, 23745, 12728, 14214, 24149, 10634, 338, 17721, 918, 2033, 334, 515, 7345, 9995, 8663, 25943, 269, 634, 4087, 540, 519, 3919, 568, 918, 2033, 334, 515, 538, 16127, 269, 634, 3919, 568, 513, 6852, 9562, 2754, 269, 634, 2754, 2829, 922, 1793, 25830, 538, 971, 513, 1259, 602, 5561, 1831, 13631, 2509, 519, 2754, 269, 898, 3081, 547, 23593, 519, 5070, 8663, 540, 918, 2033, 334, 515, 7345, 865, 602, 16127, 666, 581, 10150, 547, 519, 5021, 1377, 676, 11981, 519, 3141, 543, 519, 4262, 1312, 269, 634, 5692, 540, 18279, 23745, 7577, 568, 547, 2327, 602, 5561, 12837, 896, 782, 6381, 950, 789, 1491, 909, 519, 1630, 908, 2533, 540, 18279, 23745, 269, 18279, 23745, 568, 513, 10935, 4663, 2754, 5665, 27352, 269, 898, 2488, 5561, 609, 519, 2533, 540, 10935, 19150, 543, 2636, 873, 547, 2972, 519, 18198, 7297, 540, 744, 24660, 12728, 14214, 24149, 10634, 338, 918, 2033, 334, 515, 7345, 543, 849, 2972, 519, 5070, 3046, 269, 634, 2754, 6138, 568, 814, 606, 1930, 7450, 3609, 585, 782, 922, 5520, 269, 898, 3947, 519, 5520, 519, 5191, 454, 293, 27518, 267, 5437, 476, 272, 267, 476, 1001, 280, 454, 5522, 8911, 543, 5384, 5004, 910, 8865, 5530, 7151, 634, 1292, 2856, 540, 713, 1382, 1957, 568, 547, 1865, 519, 2798, 540, 2500, 2359, 269, 5004, 568, 519, 1184, 540, 4058, 267, 1418, 2358, 267, 3056, 543, 9013, 782, 11775, 540, 1870, 5106, 538, 1931, 547, 3035, 519, 6859, 540, 602, 13539, 269, 13229, 2359, 23223, 2406, 2164, 538, 1870, 1967, 267, 1247, 23696, 2359, 1419, 2164, 538, 1870, 5821, 269, 4635, 519, 623, 5357, 290, 7844, 540, 5004, 267, 519, 1883, 3334, 12077, 4058, 267, 12180, 267, 3056, 543, 9013, 3322, 519, 946, 540, 1114, 1983, 269, 630, 289, 5281, 267, 476, 3192, 279, 264, 14161, 7605, 321, 1231, 729, 8655, 547, 6582, 543, 5965, 519, 10066, 585, 519, 1007, 554, 2231, 269, 769, 519, 2796, 540, 519, 2013, 267, 7605, 321, 1231, 568, 519, 9614, 585, 519, 4305, 269, 12020, 568, 606, 6457, 1302, 14053, 1184, 267, 1317, 621, 3340, 20982, 6030, 540, 2962, 1141, 3664, 616, 1759, 593, 3483, 267, 1702, 543, 9645, 4110, 540, 9193, 269, 12020, 24024, 3790, 269, 4706, 8561, 568, 593, 3608, 543, 2500, 4238, 543, 11007, 540, 5773, 543, 2409, 269, 630, 289, 5281, 267, 476, 3192, 279, 264, 5029, 1944, 2882, 519, 1983, 540, 1582, 268, 5883, 543, 2319, 960, 3976, 942, 568, 2808, 607, 606, 1898, 3815, 269, 634, 2262, 3919, 4016, 547, 519, 2497, 610, 513, 3060, 540, 3347, 1851, 2043, 15025, 609, 835, 1776, 269, 5029, 1944, 607, 513, 1907, 568, 606, 1439, 538, 3294, 855, 513, 1797, 540, 8236, 519, 6859, 540, 519, 3919, 269, 5029, 1944, 568, 10416, 23454, 540, 2238, 543, 10747, 519, 5107, 540, 519, 5171, 609, 3617, 6392, 543, 1697, 11558, 538, 519, 10721, 2497, 269, 630, 29409, 2102, 560, 1716, 267, 476, 1960, 279, 1040, 5029, 1944, 267, 538, 922, 9759, 267, 12211, 547, 519, 8446, 543, 8760, 540, 2838, 2238, 267, 519, 23454, 540, 2238, 2556, 547, 12492, 6859, 267, 519, 7084, 540, 1142, 23454, 547, 513, 9614, 1510, 519, 6392, 2556, 547, 1463, 543, 27459, 1047, 621, 267, 543, 519, 11865, 585, 11558, 23276, 543, 19794, 538, 519, 10721, 2497, 269, 31327, 2115, 519, 946, 540, 1004, 1983, 267, 1950, 1966, 6061, 267, 543, 5683, 543, 1164, 2123, 4441, 269, 15557, 568, 519, 1148, 610, 1184, 540, 12018, 1004, 865, 602, 789, 786, 11441, 786, 5944, 543, 9020, 16484, 4724, 519, 9740, 540, 1895, 3853, 269, 898, 1281, 711, 1611, 1152, 18515, 547, 960, 855, 849, 18515, 547, 960, 609, 1990, 7002, 543, 6015, 269, 15557, 568, 519, 9565, 27261, 936, 543, 1657, 7344, 10220, 609, 519, 23332, 1463, 1161, 540, 519, 3919, 269, 901, 1797, 602, 606, 10721, 1909, 949, 7854, 1114, 6859, 267, 855, 1831, 1875, 1790, 5966, 865, 602, 538, 1931, 547, 1831, 2500, 267, 513, 2123, 5905, 1590, 581, 538, 621, 269, 630, 289, 5281, 267, 476, 3192, 279, 264, 15440, 658, 5718, 568, 519, 1184, 540, 28068, 543, 12018, 4305, 5829, 2238, 540, 1895, 2818, 269, 15557, 3322, 519, 1034, 4105, 2200, 540, 519, 3919, 268, 519, 1004, 269, 5295, 3892, 1063, 3401, 543, 1895, 2818, 568, 0, 32637, 267, 5437, 476, 272, 267, 476, 1001, 279, 454, 11990, 2142, 718, 781, 670, 836, 2006, 781, 3143, 846, 734, 3487, 476, 275, 281, 23583, 5853, 2871, 14923, 267, 13329, 10642, 547, 670, 836, 454, 8170, 519, 476, 8660, 278, 10437, 267, 476, 15094, 941, 6738, 2367, 543, 476, 14341, 941, 2021, 269, 634, 1964, 941, 1453, 267, 9053, 676, 23583, 1317, 789, 941, 1932, 1762, 547, 4473, 909, 1996, 1864, 585, 1010, 16970, 2906, 563, 763, 661, 4471, 729, 9676, 676, 519, 2475, 306, 15011, 4618, 593, 4864, 476, 279, 267, 476, 5908, 271, 269, 634, 10437, 941, 3144, 547, 8644, 4997, 267, 519, 1977, 12733, 3964, 538, 4639, 4000, 676, 519, 1977, 16690, 1436, 5980, 269, 898, 729, 513, 11175, 540, 1863, 2349, 2931, 689, 519, 2136, 2276, 563, 301, 11936, 1408, 23583, 729, 3144, 547, 1715, 3840, 4975, 547, 1796, 4693, 585, 10553, 9467, 543, 533, 16820, 269, 2991, 835, 8288, 21139, 267, 646, 729, 1336, 16944, 5437, 476, 280, 267, 476, 5908, 272, 267, 543, 30992, 547, 2669, 676, 16304, 593, 5988, 476, 278, 267, 476, 3422, 273, 563, 5475, 1010, 4845, 729, 9307, 267, 1010, 18793, 4300, 4705, 547, 5518, 12493, 585, 513, 533, 30972, 269, 12493, 729, 1634, 585, 1010, 8296, 543, 9783, 1082, 533, 731, 976, 1282, 1010, 24164, 267, 646, 15189, 547, 9886, 835, 547, 23583, 267, 1256, 32222, 547, 2743, 609, 1010, 18793, 563, 1432, 12493, 590, 4660, 8921, 269, 4534, 24874, 1530, 806, 327, 0, 29209, 1297, 540, 2147, 4598, 4559, 281, 4595, 6142, 13333, 998, 7535, 532, 2200, 267, 519, 5354, 540, 6142, 4507, 616, 3177, 585, 1367, 2818, 540, 1804, 5049, 267, 3850, 1202, 20445, 547, 4324, 689, 519, 1876, 540, 1804, 2338, 538, 799, 10567, 9271, 616, 2147, 547, 519, 4890, 9271, 269, 1401, 8526, 1331, 32008, 781, 540, 5507, 267, 799, 568, 4583, 585, 4180, 519, 1272, 610, 1072, 540, 11051, 267, 5026, 5515, 267, 543, 824, 4583, 2043, 269, 1717, 267, 782, 23927, 786, 723, 1880, 3604, 267, 799, 949, 1291, 547, 1114, 14167, 3928, 563, 4263, 519, 1034, 2596, 1377, 267, 3355, 2557, 14708, 3322, 3168, 693, 519, 4908, 543, 10335, 540, 1202, 3293, 829, 2812, 543, 519, 4397, 3328, 2628, 719, 4611, 689, 891, 829, 2812, 269, 1703, 12898, 606, 6142, 2754, 786, 2445, 3140, 2530, 1239, 267, 3142, 519, 2530, 1239, 547, 1459, 1871, 267, 543, 5635, 891, 1991, 9271, 547, 519, 14167, 6394, 538, 1931, 547, 2708, 2557, 6631, 2329, 269, 13809, 12753, 543, 13258, 13907, 616, 849, 1031, 269, 28951, 585, 1114, 1981, 4162, 3322, 693, 519, 1034, 2596, 1377, 9236, 519, 9271, 609, 834, 29754, 8887, 8481, 257, 1765, 320, 3609, 609, 7466, 607, 1082, 9271, 1131, 4061, 581, 9901, 7466, 607, 1454, 269, 2859, 1950, 1617, 21725, 9382, 616, 3006, 1031, 950, 2789, 4162, 616, 3238, 543, 513, 796, 21725, 2079, 1223, 3132, 1476, 15903, 2164, 269, 4033, 8579, 2409, 949, 581, 1031, 538, 12570, 519, 5506, 540, 2104, 9271, 563, 2690, 1383, 267, 1034, 6142, 4507, 538, 519, 2296, 1893, 2221, 723, 1044, 5402, 31751, 538, 10750, 2296, 282, 519, 2872, 4121, 519, 2182, 1259, 602, 1082, 10470, 786, 711, 17997, 4507, 1996, 1202, 675, 1091, 950, 519, 16488, 2933, 3112, 1174, 1018, 519, 4507, 616, 6031, 269, 15380, 267, 10470, 1526, 4902, 10701, 340, 885, 538, 6142, 4507, 1996, 519, 6142, 2754, 543, 538, 3870, 540, 3795, 896, 519, 3609, 563, 763, 2883, 6617, 543, 4222, 540, 606, 6142, 2754, 1058, 581, 513, 2101, 7156, 950, 9140, 606, 6142, 4579, 269, 1323, 6142, 14167, 6976, 4867, 2488, 3795, 585, 9271, 602, 1522, 8451, 1082, 1296, 538, 519, 2104, 269, 1280, 602, 2601, 267, 519, 23812, 540, 519, 6142, 15298, 568, 1360, 1271, 269, 769, 2487, 1296, 267, 513, 1297, 540, 6142, 3549, 723, 1831, 1202, 565, 1203, 267, 6028, 741, 3609, 6868, 609, 1100, 3795, 630, 528, 3795, 1152, 689, 513, 2229, 1532, 17977, 6142, 7535, 610, 824, 11460, 609, 1447, 10694, 2628, 8083, 585, 9271, 1040, 589, 1297, 540, 4830, 12773, 8041, 1683, 1344, 543, 2557, 519, 2883, 23812, 540, 6142, 3549, 563, 3849, 3200, 1047, 618, 3812, 593, 15773, 540, 519, 1739, 1808 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 610, 1932, 1970, 267, 621, 666, 3500, 1524, 519, 2208, 540, 519, 2030, 563, 12850, 568, 849, 2556, 585, 18290, 2030, 2208, 269, 12518, 991, 1216, 547, 10110, 5567, 689, 519, 3037, 543, 547, 948, 519, 2030, 1332, 269, 18320, 1454, 610, 1932, 2370, 1216, 666, 1312, 581, 17672, 547, 519, 2030, 269, 634, 1655, 1259, 547, 1216, 513, 18290, 2030, 568, 547, 2285, 621, 513, 2620, 14450, 2899, 513, 3018, 563, 7661, 267, 5567, 616, 849, 2556, 585, 18290, 2030, 2208, 269, 12518, 991, 5567, 547, 1332, 543, 547, 3132, 5810, 543, 5613, 269, 1284, 539, 2371, 991, 513, 3099, 540, 5567, 267, 1519, 9436, 267, 16903, 267, 543, 11379, 269, 1452, 5567, 666, 581, 1336, 538, 5010, 18168, 610, 538, 11003, 563, 763, 2640, 540, 513, 18290, 2030, 454, 288, 18290, 2030, 666, 2709, 1082, 2640, 267, 2523, 950, 621, 2501, 547, 2564, 17089, 269, 3371, 616, 2947, 540, 519, 1283, 2640, 912, 272, 269, 10266, 28057, 454, 3080, 540, 519, 1034, 1134, 8153, 2640, 540, 18290, 568, 922, 2702, 547, 13468, 1928, 269, 901, 568, 3226, 6225, 585, 1346, 7092, 689, 5312, 1928, 2175, 899, 12263, 610, 4017, 668, 9234, 22468, 563, 273, 269, 17520, 28057, 454, 2171, 539, 666, 849, 581, 2500, 538, 8156, 4160, 4713, 269, 898, 666, 948, 547, 9350, 543, 6001, 519, 2247, 267, 799, 666, 581, 5363, 585, 1346, 7092, 689, 2175, 899, 17971, 610, 1514, 4160, 4524, 563, 274, 269, 12870, 28057, 454, 12831, 1833, 568, 1776, 2783, 602, 18290, 666, 581, 5363, 585, 269, 634, 12800, 27546, 538, 18290, 666, 948, 547, 5818, 7099, 543, 2087, 1648, 2157, 267, 799, 666, 581, 5363, 585, 1346, 945, 616, 10010, 609, 4965, 563, 275, 269, 2561, 564, 924, 29918, 1637, 454, 2171, 539, 568, 849, 1634, 585, 922, 2702, 547, 12954, 14031, 269, 901, 666, 581, 6225, 585, 1346, 945, 616, 18460, 18068, 610, 616, 7092, 689, 2175, 899, 30604, 563, 276, 269, 9435, 9615, 454, 2171, 539, 814, 849, 1044, 3254, 547, 581, 2500, 538, 8156, 2860, 269, 634, 12800, 27546, 538, 18290, 666, 948, 547, 6146, 2860, 2281, 543, 16756, 12970, 269, 901, 568, 606, 5571, 1858, 540, 1382, 267, 855, 519, 1761, 585, 18290, 547, 581, 1031, 607, 513, 2860, 2126, 568, 1360, 9621, 563, 763, 11393, 540, 513, 18290, 2030, 454, 288, 18290, 568, 606, 13311, 2030, 538, 513, 1880, 1747, 267, 2523, 835, 602, 7679, 31013, 609, 519, 2208, 540, 513, 7693, 269, 1284, 2644, 14526, 609, 7031, 585, 1216, 267, 7943, 543, 5567, 267, 543, 666, 2569, 7693, 11729, 676, 909, 547, 476, 2004, 18336, 2467, 616, 1896, 2409, 540, 9013, 18047, 267, 1519, 7344, 267, 3114, 543, 6211, 2409, 269, 1717, 267, 1142, 540, 891, 2409, 814, 11393, 563, 9288, 22817, 2409, 267, 971, 607, 11489, 720, 267, 666, 581, 2500, 693, 9013, 18047, 267, 855, 666, 849, 3441, 7031, 543, 1291, 547, 3037, 11761, 269, 11906, 2409, 267, 971, 607, 10786, 15969, 267, 666, 581, 2500, 693, 9013, 18047, 267, 855, 666, 849, 581, 5739, 547, 519, 1604, 543, 1480, 1072, 269, 18143, 2409, 267, 971, 607, 1210, 3382, 7031, 610, 9544, 8013, 7693, 8677, 267, 666, 581, 2500, 693, 9013, 18047, 267, 855, 666, 581, 811, 7199, 543, 942, 21791, 982, 824, 2409, 563, 763, 1655, 1505, 540, 9013, 18047, 786, 4268, 4470, 593, 519, 1808, 3510, 269, 769, 930, 2665, 267, 513, 4999, 540, 2409, 949, 581, 2556, 547, 3927, 1852, 18047, 563, 2691, 621, 2501, 547, 519, 3932, 540, 875, 1279, 513, 18290, 2030, 9428, 267, 972, 616, 513, 1906, 1919, 547, 1832, 538, 2247, 269, 3689, 267, 519, 2450, 543, 1826, 540, 519, 2030, 786, 1404, 513, 1909, 538, 875, 1279, 621, 3217, 547, 9921, 269, 19627, 267, 519, 3395, 2175, 1590, 581, 4998, 538, 1931, 585, 519, 2030, 547, 3914, 922, 2407, 1761, 269, 1656, 2063, 569, 267, 519, 2179, 540, 942, 543, 1416, 602, 568, 2322, 883, 519, 2030, 786, 849, 1860, 922, 2949, 2208, 563, 10112, 11167, 782, 540, 891, 2188, 616, 3144, 883, 2272, 267, 513, 18290, 2030, 666, 3335, 1491, 9170, 689, 476, 274, 547, 476, 277, 3275, 547, 4628, 9921, 269, 1717, 267, 972, 616, 2141, 17756, 547, 713, 4341, 543, 930, 2371, 949, 1491, 513, 3787, 3476, 610, 10156, 547, 3914, 15657, 563, 1103, 519, 1439, 267, 519, 1655, 1259, 547, 2327, 602, 707, 18290, 2030, 9428, 547, 922, 2407, 1761, 568, 547, 1683, 621, 609, 519, 1655, 2009, 3395, 2175, 543, 547, 581, 3461, 269, 2060, 513, 2370, 942, 543, 4674, 267, 596, 1058, 723, 1100, 1966, 16276, 513, 29667, 3814, 7693, 540, 4195, 267, 1164, 7779, 18290, 563, 763, 5933, 540, 18290, 2030, 2208, 454, 2691, 596, 2461, 3395, 18290, 267, 621, 779, 1271, 547, 917, 519, 1114, 5933, 540, 2208, 865, 596, 666, 5265, 1416, 585, 707, 2371, 269, 1703, 616, 2185, 1292, 5933, 540, 18290, 2030, 2208, 281, 6079, 1782, 267, 3543, 894, 267, 15496, 267, 543, 7556, 269, 2913, 779, 1491, 513, 6251, 1413, 693, 1142, 3942, 563, 763, 6079, 1782, 3942, 568, 950, 707, 18290, 2030, 1101, 28667, 689, 519, 6079, 269, 2311, 713, 3942, 267, 707, 2030, 786, 581, 1360, 10347, 543, 786, 991, 547, 581, 6854, 538, 513, 3636, 267, 18519, 1604, 269, 898, 779, 1271, 547, 711, 1577, 519, 3037, 3819, 856, 267, 607, 713, 666, 6146, 519, 1762, 2030, 269, 23268, 13530, 786, 2356, 10836, 1369, 476, 278, 268, 1015, 2395, 563, 763, 3543, 894, 3942, 568, 950, 707, 2030, 6238, 547, 1332, 3762, 543, 11710, 269, 2311, 713, 1448, 267, 596, 666, 2253, 547, 6992, 1125, 707, 2030, 543, 2285, 621, 811, 1769, 269, 634, 811, 1769, 707, 2030, 4991, 267, 519, 5488, 621, 786, 1332, 269, 4107, 2371, 786, 3251, 538, 519, 3543, 894, 3942, 585, 476, 275, 268, 279, 4374, 1354, 3001, 593, 547, 519, 1985, 3942, 563, 763, 15496, 3942, 568, 950, 707, 2030, 5956, 547, 3132, 5810, 269, 901, 568, 519, 3942, 950, 596, 786, 991, 547, 1376, 4227, 519, 2179, 540, 1769, 707, 2030, 4991, 267, 607, 1932, 1454, 1769, 666, 2061, 5810, 689, 3384, 269, 10046, 1359, 2356, 16569, 585, 476, 277, 268, 279, 4374, 563, 763, 7556, 3942, 568, 950, 707, 2030, 568, 4712, 547, 581, 19122, 269, 1411, 786, 917, 707, 2030, 568, 4712, 547, 7556, 950, 519, 5810, 616, 4358, 547, 2490, 6960, 543, 2887, 1055, 269, 13689, 593, 519, 8833, 267, 707, 2030, 949, 581, 4712, 547, 7556, 9170, 689, 476, 279, 268, 1321, 4374, 1310, 15496, 814, 13175, 563, 763, 2188, 602, 1860, 519, 2208, 540, 18290, 2371, 454, 763, 2208, 540, 18290, 2371, 568, 4299, 676, 513, 3099, 540, 2188, 267, 1519, 519, 1826, 540, 2030, 267, 519, 2916, 267, 519, 3037, 267, 543, 519, 2179, 540, 1216, 543, 7943, 519, 2030, 11392, 563, 13911, 540, 7233, 454, 763, 1826, 540, 18290, 2030, 596, 616, 3395, 786, 1860, 875, 3728, 621, 9428, 269, 1473, 3821, 2371, 4043, 547, 581, 10156, 543, 17382, 1512, 982, 2893, 10216, 2371, 267, 543, 789, 849, 723, 513, 10156, 15496, 1974, 269, 901, 1797, 602, 789, 786, 9921, 543, 581, 4712, 547, 7556, 19692, 982, 2893, 10216, 2371, 563, 763, 2916, 596, 616, 3395, 707, 18290, 2371, 538, 786, 849, 1860, 741, 2208, 269, 1403, 596, 2661, 538, 606, 1858, 609, 1279, 267, 3905, 28782, 543, 2110, 267, 7646, 24475, 267, 707, 2371, 786, 1332, 811, 3533, 982, 952, 596, 2661, 538, 606, 1858, 609, 16830, 5210, 543, 3476, 24475, 563, 763, 1826, 540, 3037, 596, 616, 3395, 707, 18290, 2371, 538, 786, 849, 1860, 741, 2208, 269, 1284, 539, 2371, 4782, 1134, 1673, 11712, 3037, 602, 568, 1164, 538, 5214, 2339, 269, 1403, 596, 616, 3395, 707, 2371, 538, 4057, 7779, 3037, 267, 789, 786, 711, 1332, 607, 3533, 607, 789, 1131, 538, 3638, 267, 15417, 3037, 563, 12850, 543, 6129, 2775, 454, 763, 2179, 540, 1216, 543, 7943, 707, 18290, 2371, 4309, 786, 849, 1860, 741, 2208, 269, 1284, 539, 2371, 991, 7899, 540, 1216, 547, 1332, 267, 855, 1932, 1454, 1216, 666, 546, 3497, 873, 269, 1358, 849, 991, 7899, 540, 7943, 547, 1332, 267, 855, 1932, 1454, 7943, 666, 1085, 25403, 741, 3762, 563, 763, 2640, 540, 3395, 18290, 2371, 454, 2791, 1522, 581, 11842, 267, 1946, 1131, 4896, 1616, 547, 1332, 18290, 2371, 286, 2991, 782, 267, 789, 2461, 10363, 538, 1034, 4025, 269, 1809, 972, 616, 2965, 1082, 2640, 547, 3395, 18290, 2371, 269, 3371, 616, 1175, 513, 1906, 912, 272, 269, 1411, 2052, 16440, 14559, 454, 2171, 539, 2371, 666, 581, 7199, 547, 4444, 267, 2523, 952, 596, 2461, 9140, 1164, 7779, 12490, 269, 1809, 952, 596, 1332, 707, 1378, 267, 596, 666, 4688, 513, 2603, 540, 2724, 538, 519, 1279, 2196, 269, 9578, 267, 596, 3580, 2141, 723, 513, 11931, 3761, 540, 18290, 267, 865, 596, 2760, 723, 547, 5855, 827, 4881, 856, 563, 273, 269, 1411, 2052, 22320, 2659, 13574, 18135, 1231, 454, 2691, 596, 1332, 707, 1378, 18290, 2371, 267, 596, 723, 519, 2702, 547, 1711, 707, 1378, 12490, 269, 901, 1797, 596, 666, 1332, 519, 3169, 1826, 540, 18290, 602, 596, 1616, 267, 609, 519, 1808, 2360, 602, 596, 2461, 3168, 585, 269, 1403, 596, 666, 1406, 1265, 519, 3501, 8833, 693, 707, 2199, 7006, 839, 776, 267, 1946, 711, 1332, 707, 1378, 888, 274, 269, 1411, 2052, 6513, 519, 10866, 454, 2691, 596, 1332, 18290, 2371, 3054, 267, 596, 723, 2347, 1852, 936, 519, 2298, 540, 519, 3803, 1587, 269, 901, 1797, 596, 666, 2327, 602, 707, 18290, 568, 2141, 1283, 27677, 577, 267, 1510, 20468, 827, 13851, 610, 824, 6464, 269, 9578, 267, 596, 3580, 917, 4010, 1018, 4682, 883, 707, 18290, 267, 865, 596, 666, 581, 2386, 602, 621, 779, 2922, 547, 8532, 563, 275, 269, 898, 779, 513, 8342, 20122, 2421, 454, 4131, 779, 581, 9237, 267, 3395, 18290, 2371, 568, 1175, 10750, 1187, 269, 898, 779, 513, 1390, 1259, 547, 6001, 543, 2972, 3054, 267, 543, 596, 3580, 2141, 723, 1945, 547, 1397, 585, 707, 3646, 269, 1403, 596, 2461, 3168, 585, 513, 1187, 543, 14785, 15908, 267, 1413, 1100, 2417, 982, 18290, 14713, 563, 8170, 1576, 267, 972, 616, 930, 17498, 1938, 547, 3395, 18290, 2371, 269, 898, 666, 581, 942, 21791, 543, 3340, 930, 4674, 267, 543, 596, 1981, 3478, 9575, 952, 596, 2461, 711, 6297, 269, 1809, 952, 596, 2461, 8348, 547, 2322, 538, 519, 960, 267, 519, 12587, 666, 581, 1390, 269, 1924, 1946, 711, 2285, 621, 513, 2119, 888, 763, 11393, 540, 3395, 18290, 2371, 454, 2171, 539, 2371, 723, 1082, 11393, 602, 25210, 1058, 581, 3222, 540, 269, 1452, 1331, 912, 272, 269, 1358, 616, 10363, 538, 1082, 4025, 563, 273, 269, 1358, 616, 2352, 547, 1332, 563, 274, 269, 1358, 2154, 513, 2603, 540, 1216, 543, 13226, 563, 275, 269, 1358, 616, 11630, 547, 10860, 543, 3676, 563, 276, 269, 1358, 616, 1419, 540, 4057, 2298, 563, 2026, 4896, 945, 814, 2479, 6738, 513, 18290, 2030, 6487, 267, 519, 2179, 540, 942, 621, 3217, 585, 519, 2030, 547, 9921, 666, 4268, 7494, 269, 2368, 2371, 1491, 1175, 513, 1906, 4374, 267, 1247, 1866, 666, 1491, 3275, 269, 1809, 875, 1279, 1281, 513, 18290, 2030, 2965, 1491, 547, 1332, 689, 6079, 547, 7556, 888, 2005, 7140, 856, 602, 519, 2626, 547, 713, 2243, 568, 10169, 7294, 269, 769, 2489, 267, 621, 3217, 827, 476, 274, 268, 275, 3275, 585, 513, 18290, 2030, 547, 1332, 689, 6079, 547, 7556, 269, 1717, 267, 713, 666, 4268, 4470, 593, 513, 1297, 540, 2188, 267, 1519, 519, 1826, 540, 2030, 267, 519, 3395, 2175, 267, 543, 519, 2179, 540, 1416, 602, 519, 2030, 11392, 563, 13911, 540, 7233, 454, 763, 1826, 540, 18290, 2030, 602, 596, 616, 3395, 666, 723, 513, 2462, 1764, 593, 875, 1279, 621, 3217, 547, 9921, 269, 2368, 2371, 267, 899, 2512, 320, 8677, 267, 4043, 547, 9921, 5266, 3533, 267, 1247, 1866, 267, 899, 2893, 10216, 8677, 267, 666, 1491, 3476, 563, 763, 2175, 538, 799, 707, 2030, 568, 3395, 666, 849, 1860, 875, 1279, 621, 3217, 547, 9921, 269, 12518, 602, 616, 6738, 16280, 4043, 547, 9921, 5488, 982, 1346, 602, 616, 6738, 13964, 267, 585, 1383, 269, 3958, 267, 519, 2179, 540, 1769, 543, 519, 2837, 666, 849, 1764, 519, 2557, 540, 2208, 563, 8649, 870, 540, 5516, 454, 7661, 267, 519, 2179, 540, 1416, 602, 596, 2285 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 492, 9463, 486, 420, 351, 360, 13644, 482, 20992, 2108, 18809, 18713, 377, 736, 4970, 500, 419, 374, 359, 419, 503, 378, 421, 350, 373, 26033, 481, 9463, 353, 27962, 9463, 495, 27064, 364, 892, 18263, 489, 13601, 12486, 1708, 272, 23946, 368, 8147, 18021, 503, 18021, 499, 418, 366, 509, 421, 479, 501, 417, 507, 478, 24662, 20881, 487, 10429, 357, 18713, 377, 2108, 419, 503, 378, 23946, 368, 419, 503, 378, 27962, 26033, 481, 9463, 353, 9463, 495, 27064, 364, 892, 12486, 27818, 419, 376, 500, 13644, 495, 270, 420, 369, 369, 418, 365, 487, 30837, 496, 17276, 496, 511, 421, 509, 367, 270, 23521, 357, 12916, 367, 418, 361, 352, 476, 25335, 484, 30903, 495, 270, 12916, 499, 420, 496, 503, 420, 368, 374, 13127, 362, 350, 21550, 350, 270, 30522, 486, 27310, 418, 368, 479, 24724 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 780, 288, 6871, 9498, 3096, 513, 2027, 4542, 547, 5173, 21159, 269, 898, 17767, 519, 2179, 540, 8918, 2338, 543, 21448, 873, 547, 1079, 8918, 4025, 269, 898, 849, 2982, 875, 1082, 8918, 4025, 616, 2877, 585, 519, 3803, 1267, 269, 1411, 3513, 1294, 519, 1871, 543, 519, 8454, 543, 596, 666, 2259, 707, 2979, 1983, 780, 1103, 1034, 2665, 267, 513, 6824, 666, 581, 6829, 607, 513, 6871, 676, 3274, 3168, 693, 519, 6824, 269, 1280, 1383, 267, 1614, 552, 662, 2195, 568, 3160, 547, 8938, 2600, 267, 6466, 5722, 552, 662, 2195, 568, 3160, 547, 32210, 2600, 269, 6684, 267, 513, 11359, 540, 513, 13362, 568, 3160, 547, 2947, 2600, 269, 1411, 666, 946, 519, 9498, 547, 1265, 856, 519, 2600, 540, 707, 1689, 780, 1012, 20593, 1154, 513, 8918, 547, 513, 2600, 692, 2252, 596, 616, 3168, 585, 513, 1259, 547, 6460, 513, 8918, 883, 513, 2600, 267, 596, 723, 2097, 547, 519, 1318, 1747, 269, 3371, 616, 930, 3268, 547, 948, 596, 609, 713, 1184, 269, 3689, 267, 596, 786, 991, 547, 4894, 519, 8918, 1129, 689, 519, 8918, 1297, 269, 8921, 267, 596, 786, 723, 547, 2328, 519, 2338, 1310, 519, 8918, 1448, 607, 519, 19362, 540, 519, 6824, 267, 543, 519, 1747, 1871, 607, 519, 14009, 269, 769, 519, 1383, 2630, 267, 476, 271, 269, 278, 786, 581, 2854, 609, 519, 8918, 1747, 6410, 547, 519, 1318, 1079, 9704, 538, 519, 19362, 267, 543, 476, 1015, 786, 581, 519, 14009, 780, 5629, 596, 723, 519, 19362, 543, 519, 14009, 267, 596, 666, 6460, 519, 8918, 547, 519, 2600, 269, 1411, 786, 991, 547, 1118, 2386, 602, 519, 19362, 568, 519, 1482, 607, 519, 14009, 540, 519, 2600, 269, 1411, 786, 991, 547, 798, 519, 9258, 1900, 607, 1134, 780, 5194, 1271, 1900, 538, 14291, 513, 8918, 547, 513, 2600, 568, 547, 917, 1018, 513, 2600, 568, 269, 589, 2600, 568, 513, 1297, 602, 568, 513, 851, 540, 476, 1911, 269, 1403, 513, 8918, 568, 476, 1839, 2195, 540, 513, 8918, 267, 596, 666, 6460, 621, 547, 513, 2600, 676, 14921, 621, 676, 476, 1911, 269, 1677, 6460, 513, 8918, 547, 513, 2600, 267, 596, 1590, 1847, 519, 8918, 1448, 1079, 5624, 547, 519, 1318, 780, 10190, 267, 9062, 519, 19362, 540, 519, 8918, 676, 476, 1911, 543, 1039, 513, 6871, 1129, 547, 621, 269, 19452, 267, 952, 596, 1616, 547, 6460, 513, 6824, 547, 513, 6871, 267, 9062, 519, 19362, 676, 519, 14009, 269, 901, 786, 2285, 596, 519, 6871, 3090, 780, 2026, 596, 666, 1294, 267, 519, 7503, 540, 513, 8918, 547, 513, 2600, 568, 835, 540, 519, 1034, 1455, 24740, 1063, 8454, 543, 17447, 538, 519, 1870, 1158, 269, 901, 1184, 666, 849, 581, 3730, 538, 23115, 856, 519, 2698, 1942, 540, 3688, 596, 6718, 269, 3509, 4558, 4191, 946, 25576, 757, 547, 5815, 519, 1942, 540, 519, 3688, 596, 4444, 780, 1012, 20593, 1154, 513, 6824, 547, 513, 2600, 692, 8794, 513, 6871, 9498, 666, 581, 3730, 538, 1082, 3871, 269, 898, 568, 606, 5140, 1907, 585, 2656, 267, 4977, 9273, 269, 1411, 666, 946, 621, 547, 3313, 21159, 689, 8454, 267, 543, 596, 666, 849, 946, 621, 547, 1449, 519, 6111, 540, 8261, 9273, 269, 1452, 26732, 616, 2139, 2228, 543, 4896, 666, 946, 873, 269, 1358, 666, 4688, 596, 513, 2603, 540, 942, 543, 1118, 707, 960, 4443, 780, 288, 6871, 9498, 1568, 676, 2921, 519, 6824, 543, 14921, 621, 676, 519, 14009, 269, 634, 9498, 786, 1287, 3898, 519, 1267, 547, 2992, 519, 5551, 8856, 269, 1280, 1383, 267, 952, 513, 6824, 568, 476, 4391, 269, 276, 9077, 519, 9498, 786, 1397, 519, 2626, 607, 476, 23841, 270, 1911, 271, 610, 476, 10219, 270, 1911, 271, 269, 1411, 666, 849, 1820, 856, 519, 1267, 865, 602, 596, 666, 4704, 621, 22356, 780, 288, 6871, 9498, 666, 581, 5393, 3730, 950, 596, 991, 547, 6460, 513, 6824, 547, 513, 2600, 538, 4948, 9273, 269, 1452, 26732, 960, 609, 8454, 540, 782, 2010, 267, 1519, 6404, 2338, 543, 1697, 8454, 269, 589, 1434, 9498, 786, 1397, 596, 519, 14724, 1259, 547, 6460, 513, 6824, 547, 513, 2600, 780, 763, 6871, 9498, 568, 606, 1898, 1907, 585, 1022, 2979, 2875, 269, 898, 568, 2653, 547, 946, 543, 2636, 596, 547, 3533, 1265, 519, 2626, 547, 707, 8454, 269, 4495, 596, 917, 519, 6871, 267, 596, 666, 946, 519, 9498, 547, 6460, 621, 547, 513, 8918, 269, 634, 9498, 786, 8850, 6460, 707, 3403, 883, 513, 8918, 780, 8110, 1417, 1137, 616, 4122, 1031, 538, 7194, 267, 1317, 789, 616, 3362, 3379, 269, 20587, 1137, 723, 513, 14009, 543, 19362, 540, 476, 1911, 269, 1280, 1383, 267, 476, 3374, 260, 568, 476, 3374, 270, 1911, 269, 6684, 267, 476, 2004, 260, 568, 476, 2004, 1053, 829, 476, 1911, 269, 6271, 1259, 547, 6460, 513, 6824, 547, 513, 2600, 568, 547, 9062, 621, 676, 519, 3815, 269, 634, 1739, 3349, 8638, 930, 540, 519, 1455, 8454, 547, 2600, 780, 8794, 513, 6871, 9498, 666, 849, 948, 596, 6460, 8454, 547, 25576, 757, 269, 4635, 713, 1907, 267, 596, 666, 6460, 1022, 6824, 547, 513, 8918, 1369, 513, 1906, 7643, 269, 4635, 621, 786, 1118, 707, 2979, 4247, 4443, 543, 1447, 17173, 2439, 1012, 1548, 568, 476, 279, 20587, 540, 476, 2004, 700, 12112, 2496, 763, 1985, 2243, 568, 267, 834, 1432, 568, 476, 279, 2600, 540, 15823, 32763, 8119, 634, 2626, 786, 4096, 593, 875, 2462, 513, 2040, 540, 2724, 568, 269, 634, 2039, 585, 891, 2055, 568, 4557, 32763, 267, 15823, 32763, 267, 513, 4627, 32763, 267, 543, 2947, 4627, 32763, 269, 3371, 616, 930, 1806, 1384, 1012, 476, 1015, 32763, 692, 2252, 596, 2811, 6236, 513, 6378, 16005, 267, 1118, 2386, 547, 2638, 519, 1719, 3928, 269, 4107, 8492, 786, 2709, 1063, 476, 277, 269, 271, 260, 543, 476, 278, 269, 276, 260, 593, 674, 17762, 540, 12652, 476, 2004, 32763, 269, 9540, 518, 8492, 949, 849, 2709, 2362, 1719, 3928, 267, 855, 789, 2097, 609, 741, 1378, 4220, 269, 1280, 713, 2601, 267, 596, 1058, 6288, 707, 2724, 538, 513, 3677, 4871, 602, 568, 811, 5150, 780, 288, 5186, 516, 568, 513, 1804, 2040, 540, 2724, 602, 568, 3160, 547, 4557, 2929, 538, 519, 3486, 1062, 269, 769, 519, 4095, 1747, 17032, 1062, 267, 513, 5186, 516, 568, 3160, 547, 476, 1911, 32763, 269, 769, 3127, 267, 519, 2165, 834, 23145, 516, 257, 4016, 547, 513, 1804, 2040, 540, 2724, 267, 865, 621, 568, 2854, 607, 476, 272, 267, 1822, 267, 1822, 267, 1822, 269, 5221, 519, 1079, 616, 6697, 267, 519, 5186, 516, 547, 32763, 7503, 4542, 568, 2241, 281, 9062, 519, 5186, 516, 676, 476, 1911, 547, 6460, 519, 2724, 780, 1012, 476, 1911, 32763, 692, 763, 7503, 3815, 1063, 476, 2004, 32763, 543, 5186, 516, 568, 2653, 281, 621, 568, 3160, 547, 5216, 2600, 540, 835, 4627, 269, 3973, 267, 649, 3274, 9062, 519, 1267, 676, 513, 4627, 269, 1280, 1383, 267, 952, 649, 723, 513, 476, 1911, 32763, 10211, 543, 513, 476, 2004, 267, 1822, 7963, 267, 938, 7963, 568, 3160, 547, 476, 4335, 267, 1822, 8297, 701, 525, 269, 1717, 267, 538, 4095, 9304, 267, 519, 2165, 1412, 23145, 516, 262, 568, 849, 1031, 547, 1611, 513, 1804, 2179, 540, 2724, 780, 1012, 476, 4335, 32763, 692, 2414, 917, 875, 1454, 568, 476, 279, 2600, 540, 513, 1297, 267, 596, 1590, 917, 875, 547, 7941, 621, 269, 4635, 519, 2600, 4542, 267, 476, 279, 260, 540, 513, 1297, 11224, 476, 1911, 5258, 676, 476, 4335, 269, 9747, 267, 519, 2626, 568, 476, 279, 269, 876, 260, 540, 513, 1297, 269, 1411, 666, 849, 7941, 621, 676, 476, 1911, 547, 1205, 519, 2626, 538, 8918, 1106, 780, 1012, 1548, 568, 476, 279, 540, 476, 2004, 1306, 20587, 720, 2496, 2252, 596, 723, 1044, 11842, 1018, 476, 279, 540, 476, 2004, 568, 267, 596, 4312, 2097, 547, 519, 1318, 1747, 269, 1284, 4312, 3893, 6726, 2209, 267, 6201, 267, 543, 28977, 547, 948, 596, 1265, 519, 2626, 269, 1411, 666, 849, 4647, 938, 1863, 9498, 543, 3113, 547, 948, 596, 4194, 21159, 811, 3362, 780, 8110, 1417, 1137, 616, 513, 1455, 1259, 547, 1118, 9273, 4443, 269, 1358, 616, 849, 4443, 547, 5173, 1317, 789, 723, 519, 1482, 14009, 267, 799, 568, 476, 1911, 269, 20587, 1137, 616, 1419, 1031, 538, 11973, 1949, 543, 2477, 602, 946, 8918, 9304, 269, 1703, 616, 1082, 1114, 2010, 540, 21159, 780, 15368, 1227, 267, 21159, 616, 8454, 609, 513, 14009, 540, 476, 1911, 269, 4107, 9819, 5473, 21159, 2154, 14921, 610, 12270, 676, 476, 1911, 269, 20587, 1137, 616, 3730, 538, 1082, 1114, 2010, 540, 2042, 269, 1280, 1383, 267, 596, 1522, 991, 547, 917, 875, 1454, 513, 1880, 1587, 610, 3028, 3790, 950, 5258, 676, 476, 1911, 269, 1280, 713, 2601, 267, 21159, 616, 513, 1455, 1907, 538, 10230, 7744, 4255, 269, 1280, 713, 2601, 267, 621, 568, 1271, 547, 917, 875, 21159, 616, 7229, 543, 875, 547, 4612, 873, 780, 8110, 1417, 1137, 616, 606, 1898, 851, 540, 1483, 3734, 6128, 269, 1358, 616, 1031, 538, 1919, 899, 1719, 3928, 267, 10958, 9273, 267, 543, 7678, 2079, 269, 1358, 616, 849, 5702, 1644, 547, 8454, 269, 1635, 1620, 21159, 267, 1053, 786, 1745, 6899, 2324, 609, 8454, 543, 17447, 269, 769, 1840, 267, 21159, 666, 581, 1031, 547, 5635, 1114, 2010, 540, 2338, 780, 1103, 2979, 267, 6616, 875, 547, 946, 21159, 786, 948, 596, 14133, 538, 1153, 543, 538, 4052, 3871, 269, 1280, 1383, 267, 538, 2979, 1362, 267, 1053, 949, 991, 547, 917, 875, 547, 9062, 513, 8918, 1297, 676, 513, 4627, 269, 769, 1931, 547, 1265, 513, 6871, 267, 789, 1590, 1101, 6460, 519, 1297, 538, 8918, 1106, 543, 1287, 9062, 621, 676, 476, 1911, 269, 3973, 789, 666, 2328, 519, 6871, 1871, 7258, 519, 8918, 1297, 780, 5194, 4480, 1053, 666, 946, 568, 513, 9498, 269, 589, 9498, 786, 1450, 873, 547, 6460, 8454, 547, 21159, 543, 13030, 17930, 269, 1323, 705, 659, 639, 666, 849, 581, 1031, 547, 7447, 519, 6871, 538, 2042, 269, 1879, 789, 723, 513, 6824, 543, 513, 8918, 1747, 267, 789, 666, 946, 606, 3160, 1129, 547, 5815, 7862, 269, 3973, 267, 789, 666, 1118, 741, 9273, 780, 1012, 6726, 2209, 692, 2252, 596, 4312, 2479, 4941, 547, 1265, 856, 1018, 476, 279, 540, 476, 2004, 568, 538, 6871, 1106, 267, 513, 9498, 666, 948, 269, 1411, 3513, 991, 547, 9062, 5216, 856, 540, 476, 2004, 676, 476, 1911, 269, 634, 9498, 786, 1287, 1397, 596, 875, 547, 6460, 519, 1297, 547, 513, 8918, 1106, 269, 1411, 666, 849, 946, 713, 9498, 547, 4137, 856, 824, 21159, 780, 288, 6871, 9498, 568, 2653, 547, 946, 543, 814, 1896, 2640, 269, 3502, 1152, 568, 621, 3728, 543, 1928, 1652, 547, 946, 267, 621, 666, 581, 10375, 543, 3579, 269, 769, 1840, 547, 922, 8897, 540, 946, 267, 513, 6871, 9498, 568, 5985, 7888, 543, 2228, 267, 799, 2306, 621, 811, 3015, 547, 513, 2647, 2039, 540, 3755, 780, 2691, 14291, 513, 1297, 689, 8918, 547, 6871, 267, 596, 991, 547, 946, 519, 1412, 260, 262, 1129, 269, 1411, 666, 849, 946, 519, 1412, 321, 11305, 262, 3090, 585, 713, 3483, 269, 4635, 713, 1129, 786, 1118, 621, 4443, 547, 6460, 513, 1297, 547, 513, 6871, 269, 1411, 666, 849, 946, 513, 536, 11305, 585, 513, 6824, 267, 971, 607, 835, 543, 513, 3368, 780, 5629, 596, 917, 875, 547, 5173, 21159, 267, 596, 666, 4019, 873, 547, 1082, 3871, 269, 20587, 1137, 616, 4122, 1031, 538, 4948, 1272, 269, 1280, 1383, 267, 5985, 6049, 6007, 1272, 568, 2356, 6829, 607, 513, 2600, 269, 6271, 1383, 568, 513, 10685, 4558, 781, 14247, 753, 616, 4867, 593, 9042, 585, 3368, 3902, 2394, 519, 1439, 540, 519, 3923, 269, 1411, 3513, 1294, 21159, 10876, 538, 707, 1272, 267, 1519, 519, 4365, 19671, 780, 8110, 1417, 720, 26732, 616, 3730, 585, 12719, 2418, 602, 616, 711, 3160, 855, 723, 513, 1455, 16726, 269, 1358, 666, 1118, 621, 4443, 585, 596, 547, 5635, 1079, 1114, 2418, 267, 585, 3236, 267, 513, 6292, 540, 10887, 269, 634, 3017, 568, 476, 271, 269, 1839, 10759, 269, 634, 9498, 786, 4159, 1312, 519, 3017, 543, 519, 6871, 780, 1012, 13565, 15080, 692, 1892, 476, 2971, 1215, 3509, 623, 2432, 3657, 538, 513, 18741, 6945, 2496, 20464 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12459, 335, 269, 594, 6557, 849, 9864, 547, 28859, 510, 511, 420, 482, 367, 10429, 357, 421, 500, 489, 420, 370, 367, 7430, 501, 28997, 501, 11210, 363, 12530, 511, 11210, 373, 267, 513, 12139, 596, 666, 2879, 698, 689, 8835, 3567, 602, 3568, 4986, 855, 737, 752, 1755, 269, 898, 5063, 3323, 1519, 1896, 540, 519, 968, 5550, 4120, 19231, 892, 8390, 13410, 602, 594, 5018, 4505, 267, 543, 538, 519, 1394, 814, 513, 6292, 540, 13410, 593, 606, 11999, 6656, 540, 3377, 2745, 602, 786, 1832, 596, 11112, 585, 4374, 267, 855, 519, 6679, 13410, 616, 2653, 2614, 585, 1256, 513, 4098, 737, 752, 1755, 24626, 547, 10994, 563, 6546, 1767, 267, 594, 9090, 1205, 1447, 540, 513, 968, 10623, 601, 892, 538, 2474, 540, 3017, 1063, 1688, 13402, 543, 2780, 24378, 737, 752, 1755, 982, 594, 798, 609, 521, 644, 18602, 269, 9320, 621, 779, 1317, 594, 4076, 12193, 1447, 267, 610, 6148, 621, 779, 7915, 547, 519, 3898, 267, 855, 538, 1022, 2680, 972, 616, 7899, 540, 2835, 543, 7270, 669, 1442, 268, 21459, 609, 811, 737, 752, 1755, 269, 8835, 814, 519, 968, 24938, 658, 8551, 892, 3126, 540, 2835, 267, 30622, 1901, 12662, 856, 513, 2898, 19619, 267, 594, 4076, 2907, 5532, 26689, 5414, 323, 611, 779, 3135, 2507, 596, 1058, 581, 2111, 547, 1265, 1945, 602, 17015, 707, 942, 18134, 543, 1377, 540, 16169, 1510, 1932, 1454, 4674, 269, 630, 306, 611, 569, 267, 17363, 570, 987, 600, 779, 5800, 762, 10658, 14794, 14635, 3085, 1406, 723, 737, 752, 1755, 538, 621, 4700, 0, 4692, 519, 3618, 581, 5180, 543, 6366, 888, 14187, 18459, 267, 621, 568, 2614, 547, 2307, 827, 6366, 3618, 20060, 1619, 543, 1631, 2576, 568, 6998, 827, 513, 6366, 15778, 3618, 8627, 2336, 296, 7058, 596, 1223, 1205, 28457, 3585, 2930, 543, 2161, 602, 4470, 593, 519, 6571, 267, 513, 12106, 666, 581, 606, 12808, 5311, 540, 2110, 6366, 12415, 563, 1607, 568, 513, 1970, 20372, 12106, 2483, 2080, 649, 2196, 883, 519, 1966, 609, 519, 2262, 2048, 1037, 9538, 1284, 1589, 649, 917, 1018, 621, 1797, 267, 855, 621, 3085, 1405, 1611, 1018, 596, 1589, 563, 2710, 596, 1611, 2048, 1037, 262, 899, 513, 6676, 267, 899, 513, 3443, 322, 820, 267, 899, 513, 12826, 267, 899, 513, 3440, 630, 663, 1018, 4990, 540, 3440, 1070, 899, 513, 14735, 267, 899, 513, 1810, 583, 267, 899, 513, 3014, 540, 17075, 267, 899, 513, 1826, 540, 5152, 286, 6423, 267, 972, 616, 865, 1082, 3337, 3681, 519, 2262, 568, 2495, 1652, 538, 713, 2796, 563, 8133, 538, 513, 1259, 269, 1280, 1383, 267, 4044, 2209, 1419, 991, 513, 6366, 4786, 267, 865, 789, 666, 1294, 782, 4525, 693, 2899, 269, 1924, 513, 4786, 540, 519, 8608, 666, 2099, 519, 3618, 609, 513, 24609, 539, 4605, 267, 585, 13418, 563, 1607, 814, 1044, 2944, 1360, 5578, 2685, 267, 2094, 519, 942, 540, 30330, 1807, 563, 2467, 616, 8332, 2478, 269, 1261, 1185, 547, 1450, 585, 2462, 1253, 25344, 267, 538, 1931, 547, 1205, 782, 519, 7285, 543, 5232, 2953, 563, 3383, 519, 7306, 540, 2244, 13999, 2484, 689, 519, 20337, 616, 21401, 269, 1924, 23529, 5654, 1259, 1932, 2462, 269, 634, 18635, 616, 21401, 782, 519, 1259, 2066, 519, 1283, 543, 5377, 540, 519, 4786, 269, 589, 1360, 3730, 4605, 267, 855, 1152, 513, 4605, 563, 5331, 513, 8608, 267, 13556, 593, 513, 11824, 4252, 563, 10190, 24609, 621, 865, 602, 782, 540, 3440, 781, 2627, 6013, 6366, 543, 3068, 5346, 593, 513, 3349, 269, 901, 3322, 513, 2603, 540, 6297, 5969, 269, 3767, 596, 666, 782, 519, 8608, 693, 2899, 269, 1809, 930, 2694, 540, 621, 616, 21401, 856, 547, 1118, 621, 9114, 6366, 267, 609, 1100, 5624, 538, 1063, 519, 4773, 563, 3080, 1522, 2161, 602, 5180, 1145, 568, 606, 28928, 7613, 602, 8761, 3294, 609, 15820, 267, 950, 12725, 519, 2627, 5526, 6366, 269, 2107, 1945, 899, 602, 269, 589, 1283, 6048, 1522, 2161, 1945, 4277, 827, 519, 2243, 563, 4263, 1114, 10253, 543, 4025, 267, 519, 3047, 8761, 3294, 8335, 269, 1809, 3144, 607, 513, 2898, 267, 621, 5526, 899, 513, 838, 515, 5514, 547, 803, 269, 769, 6323, 621, 568, 1034, 3362, 6719, 585, 519, 11097, 652, 2039, 540, 3096, 538, 602, 1106, 267, 1821, 11868, 1152, 547, 12863, 4998, 2175, 585, 519, 5301, 540, 6044, 610, 16134, 585, 9819, 563, 8170, 1576, 621, 666, 563, 763, 1152, 6952, 568, 267, 547, 1118, 519, 7061, 20014, 689, 834, 4754, 257, 547, 834, 529, 2580, 972, 814, 547, 581, 930, 5885, 2963, 269, 1924, 2484, 594, 723, 2938, 9039, 563, 2171, 917, 670, 8582, 8904, 1568, 593, 3618, 267, 10686, 1227, 269, 594, 993, 18136, 1022, 6366, 3618, 27423, 547, 2491, 875, 513, 6366, 3618, 2203, 1131, 1683, 519, 8904, 607, 649, 917, 621, 568, 269, 630, 21413, 6427, 532, 513, 1007, 6323, 1876, 994, 1607, 2243, 4422, 547, 6961, 875, 19039, 569, 17399, 656, 267, 2849, 4577, 267, 29749, 267, 18174, 880, 543, 26525, 513, 6366, 552, 691, 615, 786, 581, 547, 1205, 930, 20086, 269, 898, 3085, 1405, 2339, 602, 621, 781, 1034, 538, 2033, 2243, 593, 519, 3068, 540, 519, 4541, 267, 621, 781, 782, 827, 834, 19972, 693, 803, 267, 1413, 693, 803, 4799, 5970, 1187, 609, 707, 13110, 267, 12816, 13050, 267, 936, 1673, 821, 11876, 1314, 269, 1403, 602, 781, 782, 519, 2634, 1379, 596, 723, 267, 596, 4465, 1405, 2063, 1454, 3476, 269, 2659, 15941, 568, 14616, 856, 269, 0, 289, 13331, 2679, 14332, 543, 15561, 17312, 15790, 18782, 16410, 514, 4479, 2052, 532, 2961, 335, 18782, 12501, 657, 2088, 932, 1622, 1177, 26002, 932, 760, 26002, 1849, 9233, 27878, 321, 26408, 626, 324, 674, 4958, 1740, 2271, 1513, 807, 5545, 15790, 18782, 918, 1002, 600, 918, 2129, 331, 4592, 532, 8298, 2679, 3057, 638, 4479, 7085, 1740, 3474, 638, 4479, 12877, 5766, 1429, 344, 28057, 26002, 17848, 26002, 27517, 706, 560, 21540, 7757, 7432, 1744, 17532, 22805, 26676, 20761, 1975, 26295, 7432, 7033, 828, 25194, 570, 2240, 1733, 8636, 1782, 8381, 26002, 8381, 339, 9506, 8381, 7912, 454, 8512, 1834, 4580, 568, 513, 14475, 3574, 1587, 7768, 540, 4718, 706, 560, 267, 3574, 13365, 610, 3574, 695, 822, 902, 6404, 609, 513, 18300, 269, 901, 598, 1723, 794, 568, 30305, 267, 19316, 267, 16271, 547, 3002, 543, 2759, 547, 3337, 267, 4611, 538, 513, 6656, 1570, 602, 666, 581, 1031, 585, 513, 3099, 540, 1919, 269, 898, 779, 1419, 1031, 607, 6692, 1324, 610, 607, 606, 896, 26792, 618, 585, 24095, 269, 21311, 22495, 622, 949, 581, 4294, 547, 1312, 5011, 547, 1711, 513, 1587, 602, 666, 581, 1031, 547, 1711, 3388, 689, 11647, 547, 19970, 1115, 547, 3774, 8470, 532, 269, 10361, 883, 594, 298, 12788, 543, 596, 3580, 1265, 14143, 540, 9325, 4580, 563, 288, 4604, 568, 2808, 968, 638, 6621, 1606, 11921, 892, 950, 519, 2208, 14034, 2196, 267, 811, 610, 1447, 267, 13902, 547, 519, 3068, 540, 519, 4604, 269, 22588, 1606, 11921, 12545, 3622, 723, 2786, 10286, 543, 616, 1447, 12155, 547, 16756, 720, 267, 3379, 547, 824, 12545, 269, 1452, 2188, 1810, 1406, 2097, 883, 1404, 609, 519, 476, 273, 343, 275, 338, 596, 946, 547, 7406, 513, 5008, 564, 28559, 621, 1281, 609, 519, 21684, 543, 19970, 4479, 596, 2322, 883, 602, 5008, 564, 282, 596, 1616, 1346, 12545, 547, 2611, 2786, 267, 6366, 543, 7123, 563, 2690, 1082, 540, 721, 267, 519, 4090, 649, 4121, 602, 513, 476, 273, 9943, 275, 4604, 568, 2965, 476, 272, 269, 276, 6279, 1535, 476, 274, 269, 276, 6279, 729, 3274, 2247, 1532, 27172, 269, 634, 2601, 585, 713, 7805, 27171, 568, 602, 519, 4604, 814, 1044, 1544, 539, 1524, 547, 9004, 12150, 885, 269, 2311, 835, 1448, 267, 1082, 1296, 3516, 267, 476, 273, 343, 275, 338, 2965, 941, 476, 273, 6279, 1535, 476, 275, 6279, 267, 855, 741, 11315, 7252, 1500, 873, 2352, 547, 6006, 543, 6023, 269, 634, 2025, 2474, 267, 971, 607, 476, 273, 9943, 275, 610, 476, 275, 9943, 275, 267, 616, 1869, 1031, 267, 543, 616, 1634, 607, 519, 968, 333, 558, 1400, 892, 2450, 540, 519, 4604, 269, 1452, 22194, 7306, 616, 1031, 1317, 789, 616, 4443, 547, 2161, 543, 789, 6529, 547, 2245, 269, 3767, 267, 7064, 547, 513, 27779, 267, 1034, 2462, 4216, 8637, 1592, 519, 22194, 543, 4890, 7306, 540, 29421, 563, 26589, 609, 6149, 267, 10036, 543, 3662, 2694, 267, 3574, 729, 835, 540, 519, 1101, 2326, 5249, 676, 2038, 3425, 269, 12130, 992, 792, 2079, 540, 519, 631, 537, 3122, 1014, 6149, 2645, 1031, 676, 519, 3026, 6387, 628, 1023, 1397, 602, 1082, 941, 1031, 547, 960, 3574, 269, 634, 1646, 540, 10340, 729, 5702, 13615, 547, 519, 1646, 540, 5051, 3152, 5232, 540, 5578, 538, 2324, 891, 2326, 563, 2005, 1522, 711, 581, 519, 15864, 1788, 538, 713, 1592, 267, 855, 952, 596, 2907, 723, 930, 1995, 609, 3574, 5969, 543, 6443, 2044, 267, 621, 4465, 1406, 581, 1022, 31484, 548, 693, 782, 269, 8729, 547, 519, 5393, 2143, 5528, 621, 12582, 1406, 2731, 581, 513, 1966, 1256, 952, 596, 2461, 711, 1360, 5432, 609, 22386, 269, 901, 1223, 2965, 581, 513, 1390, 1788, 585, 17975, 707, 22386, 1983, 607, 513, 19444, 2336, 8245, 2952, 27653, 513, 11547, 743, 1054, 538, 1216, 543, 8258, 621, 856, 513, 3787, 865, 621, 779, 711, 521, 25891, 6632, 269, 10925, 519, 14927, 11547, 743, 1054, 593, 519, 4299, 1858, 269, 634, 1216, 786, 530, 1157, 998, 519, 3574, 267, 543, 602, 779, 5386, 269, 3767, 267, 609, 707, 4401, 593, 922, 5207, 4259, 267, 1747, 621, 593, 519, 14927, 11547, 743, 1054, 936, 519, 4299, 1858, 267, 543, 1118, 1507, 5322, 1394, 543, 8521, 543, 538, 10580, 269, 4964, 1524, 16119, 543, 3136, 2394, 707, 11547, 12308, 568, 3819, 269, 898, 4465, 1406, 1491, 1279, 547, 18493, 622, 269, 2311, 713, 1448, 267, 519, 3574, 11103, 616, 21716, 519, 1216, 543, 1058, 4228, 1394, 547, 1141, 789, 941, 8385, 269, 15566, 713, 1184, 543, 10956, 676, 4946, 811, 1216, 2394, 519, 546, 757, 4473, 909, 547, 581, 23574, 609, 519, 1964, 540, 519, 1570, 563, 4415, 1079, 8677, 267, 2699, 543, 3043, 267, 18073, 568, 1634, 547, 581, 2653, 547, 960, 609, 543, 5266, 2178, 269, 1717, 267, 11647, 15670, 1419, 1904, 585, 3043, 18073, 936, 2699, 18073, 585, 922, 10694, 4137, 543, 7509, 9113, 2700, 269, 13689, 593, 519, 2186, 2877, 267, 18073, 666, 4440, 581, 1336, 693, 513, 2199, 1753, 4099, 610, 513, 29421, 12881, 585, 513, 3787, 11720, 1512, 982, 824, 2182, 6229, 338, 563, 2171, 786, 2303, 596, 2824, 519, 2241, 16819, 5264, 952, 596, 616, 1007, 693, 22386, 855, 581, 2386, 547, 2824, 922, 1374, 609, 2463, 547, 519, 1747, 1141, 596, 616, 2469, 547, 13793, 270, 2897, 621, 269, 2290, 540, 938, 2241, 16819, 5264, 18862, 786, 948, 596, 2679, 835, 269, 1284, 723, 7307, 547, 1331, 513, 2707, 5850, 2630, 602, 786, 948, 596, 547, 1174, 14550, 543, 519, 6044, 547, 2679, 513, 2241, 16819, 5264, 269, 0, 24841, 11529, 729, 1898, 547, 519, 14564, 269, 898, 3177, 267, 3006, 519, 1152, 267, 1570, 585, 5656, 267, 6283, 267, 2645, 267, 543, 7622, 3688, 269, 8381, 849, 3177, 12992, 267, 20004, 267, 28890, 532, 2326, 267, 543, 1648, 585, 3002, 12727, 272, 7212, 1034, 1806, 540, 4936, 22386, 723, 1044, 4503, 267, 281, 273, 519, 5339, 2594, 12873, 1454, 540, 519, 4207, 1702, 269, 23554, 745, 341, 3780, 4142, 545, 919, 606, 3003, 3184, 540, 1010, 1546, 4056, 3120, 547, 16025, 267, 8497, 1082, 3877, 269, 1773, 4176, 267, 1247, 711, 513, 7762, 534, 626, 267, 6131, 3670, 2835, 540, 1010, 7849, 3778, 547, 4054, 543, 29762, 2371, 267, 3246, 513, 5763, 540, 1344, 593, 4054, 543, 741, 3096, 563, 8245, 2952, 27653, 513, 11547, 743, 1054, 538, 1216, 543, 8258, 621, 856, 513, 3787, 865, 621, 779, 711, 521, 25891, 6632, 269, 10925, 519, 14927, 11547, 743, 1054, 593, 519, 4299, 1858, 269, 634, 1216, 786, 530, 1157, 998, 519, 3574, 267, 543, 602, 779, 5386, 269, 3767, 267, 609, 707, 4401, 593, 922, 5207, 4259, 267, 1747, 621, 593, 519, 14927, 11547, 743, 1054, 936, 519, 4299, 1858, 267, 543, 1118, 1507, 5322, 1394, 543, 8521, 543, 538, 10580, 269, 4964, 1524, 16119, 543, 3136, 2394, 707, 11547, 12308, 568, 3819, 269, 898 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 513, 14041, 269, 7621, 573, 1162, 10776, 2763, 519, 4483, 540, 1079, 9211, 689, 513, 20033, 547, 5135, 267, 6721, 7250, 25681, 269, 15394, 513, 7657, 514, 1071, 10276, 10405, 610, 4496, 1071, 29969, 568, 2838, 563, 1432, 616, 519, 1806, 540, 4483, 1162, 888, 347, 4488, 476, 273, 269, 275, 1475, 16744, 6523, 2643, 10520, 2536, 848, 267, 15279, 657, 2643, 10520, 2536, 848, 267, 543, 20008, 657, 2643, 10520, 2536, 848, 2008, 347, 4488, 476, 273, 269, 276, 1475, 1026, 1993, 15442, 514, 5348, 628, 848, 543, 28060, 5348, 628, 848, 2008, 347, 4488, 476, 273, 269, 277, 1475, 10520, 3133, 848, 267, 543, 3404, 574, 514, 582, 4920, 2536, 848, 2008, 1432, 1281, 606, 5135, 848, 11747, 798, 888, 23682, 4723, 1162, 10776, 2763, 519, 25465, 540, 5135, 883, 513, 14041, 269, 667, 8610, 4723, 1162, 6451, 1312, 5135, 8444, 883, 519, 14041, 267, 15029, 1395, 334, 2135, 4723, 1162, 6451, 513, 2582, 5135, 11046, 607, 513, 18038, 2643, 1895, 883, 519, 14041, 543, 519, 2034, 5135, 11046, 568, 4389, 547, 1216, 563, 8489, 568, 7621, 573, 648, 2265, 848, 1336, 538, 519, 1560, 888, 23682, 573, 648, 2265, 848, 11476, 1404, 606, 1271, 1909, 538, 1312, 20659, 543, 26103, 10307, 269, 1358, 666, 581, 1336, 538, 28340, 1736, 267, 570, 7563, 4783, 267, 19842, 8485, 800, 3175, 267, 543, 538, 11254, 3679, 10307, 563, 1432, 568, 519, 1599, 540, 7250, 848, 888, 22134, 4088, 1162, 616, 1883, 11476, 540, 519, 1648, 10307, 540, 1082, 14471, 269, 23883, 538, 606, 16464, 9249, 1141, 7636, 7250, 630, 295, 273, 264, 568, 606, 1271, 13591, 267, 891, 11476, 616, 1031, 547, 1163, 601, 4430, 4227, 1379, 676, 4227, 22571, 610, 789, 616, 1031, 585, 519, 16617, 540, 670, 273, 607, 1648, 543, 6475, 2707, 563, 1432, 1826, 540, 11747, 568, 3933, 334, 2135, 4723, 848, 888, 12507, 334, 2135, 4723, 1162, 616, 11476, 602, 10776, 2763, 519, 24450, 540, 513, 2582, 5135, 11046, 689, 744, 263, 273, 264, 883, 606, 5214, 14041, 269, 769, 1931, 547, 4163, 856, 713, 1826, 540, 5114, 267, 891, 11476, 991, 547, 19334, 7636, 5135, 547, 7753, 922, 8095, 16519, 321, 5200, 5114, 609, 519, 5214, 14041, 563, 1432, 616, 31442, 2345, 1599, 888, 12867, 946, 31442, 2345, 547, 17932, 519, 2534, 540, 519, 1439, 32194, 1427, 545, 4918, 538, 513, 1449, 8546, 543, 2932, 6901, 602, 2154, 3940, 10282, 593, 513, 9245, 282, 789, 1683, 513, 1259, 585, 3744, 547, 4137, 856, 875, 5946, 616, 1373, 1500, 593, 519, 18317, 538, 513, 1591, 676, 10411, 23082, 519, 1184, 538, 513, 1449, 8546, 563, 3963, 616, 12444, 648, 2265, 1162, 865, 3957, 888, 19187, 4408, 540, 12444, 648, 2265, 1162, 616, 4646, 607, 968, 18484, 528, 281, 23100, 528, 12444, 648, 2265, 848, 31865, 2705, 267, 824, 4408, 616, 1454, 811, 1455, 269, 634, 1455, 2012, 568, 968, 18484, 528, 13204, 4088, 848, 892, 950, 2009, 267, 971, 607, 9848, 30844, 24957, 268, 274, 14428, 24043, 13204, 4088, 848, 585, 519, 2034, 5114, 1657, 269, 968, 10673, 528, 12444, 848, 892, 568, 513, 2027, 2013, 1141, 744, 273, 568, 519, 3398, 528, 563, 1432, 568, 513, 1019, 2135, 4723, 848, 888, 302, 269, 670, 11535, 31381, 267, 538, 15610, 540, 18143, 11061, 630, 13553, 9990, 1070, 476, 1001, 274, 667, 8610, 4723, 1162, 616, 3989, 607, 11476, 10776, 4506, 6547, 538, 799, 1312, 8444, 540, 7636, 5135, 616, 11368, 883, 26828, 563, 1432, 568, 519, 1599, 540, 1071, 26476, 23949, 8817, 1019, 2135, 4723, 1162, 888, 290, 1993, 18503, 23949, 8817, 1019, 2135, 4723, 1162, 269, 1452, 11476, 10776, 2763, 519, 12159, 540, 844, 26096, 821, 10636, 7514, 3380, 538, 513, 6073, 2147, 547, 844, 2075, 564, 514, 1019, 2135, 4723, 848, 267, 855, 616, 2219, 547, 1199, 5573, 513, 9097, 5114, 540, 513, 1019, 2135, 4723, 11140, 609, 513, 1286, 3316, 542, 593, 519, 14041, 630, 29664, 476, 276, 1040, 5637, 18074, 302, 543, 1627, 23077, 4866, 547, 519, 14668, 270, 15512, 3289, 1503, 848, 15988, 13637, 540, 11476, 267, 7498, 1432, 568, 703, 2784, 2723, 1019, 2135, 4723, 848, 1031, 585, 888, 4504, 2784, 2723, 1019, 2135, 4723, 1162, 630, 4488, 476, 7277, 269, 10482, 269, 2412, 269, 18684, 264, 616, 9190, 11476, 602, 10776, 2763, 519, 8258, 1579, 822, 720, 540, 524, 622, 3273, 338, 799, 568, 513, 3844, 1900, 538, 519, 20659, 12159, 540, 23599, 7135, 269, 2368, 2818, 540, 713, 11747, 1895, 723, 513, 595, 268, 32558, 639, 799, 568, 476, 275, 1700, 276, 260, 3476, 630, 534, 3606, 476, 1724, 1700, 1240, 11254, 7408, 264, 3379, 547, 519, 5354, 540, 1634, 9696, 563, 1432, 568, 519, 1599, 540, 681, 625, 651, 1019, 2135, 4723, 848, 888, 763, 681, 625, 651, 1019, 2135, 4723, 1162, 10776, 2763, 519, 28250, 26817, 5139, 6918, 2643, 566, 540, 5749, 525, 547, 28250, 26817, 5139, 549, 1673, 2723, 2472, 269, 1452, 11476, 616, 30326, 1336, 538, 3037, 4551, 971, 607, 28342, 14137, 553, 267, 543, 741, 6547, 13822, 519, 3355, 1900, 538, 23599, 8652, 21666, 7686, 18341, 566, 269, 0, 1432, 568, 519, 1292, 3483, 540, 519, 1379, 3761, 888, 763, 3483, 540, 513, 1292, 338, 1379, 3761, 568, 547, 6460, 519, 1379, 9447, 547, 922, 3403, 676, 519, 18980, 1355, 958, 20367, 1292, 338, 5201, 3761, 883, 1379, 2139, 693, 922, 3977, 538, 519, 1106, 540, 513, 5347, 543, 3586, 1463, 6453, 563, 1692, 1281, 513, 1379, 3761, 1770, 960, 888, 288, 1379, 3761, 3217, 519, 8028, 689, 519, 3774, 17752, 267, 17838, 621, 547, 796, 29970, 9823, 267, 543, 6971, 519, 6453, 1210, 606, 3403, 1379, 22155, 267, 3335, 19480, 621, 1524, 547, 519, 6453, 2838, 676, 519, 4452, 269, 1280, 3106, 4128, 267, 519, 22155, 849, 24508, 519, 3977, 1379, 3761, 689, 519, 1292, 338, 3403, 563, 1432, 616, 519, 476, 274, 5301, 540, 513, 1379, 3761, 888, 303, 584, 5099, 540, 513, 5295, 18242, 454, 268, 22417, 8028, 547, 9823, 563, 268, 3629, 9823, 6453, 547, 519, 3993, 4580, 267, 740, 9532, 267, 543, 15672, 3457, 563, 268, 3629, 9023, 543, 7520, 2011, 2095, 998, 519, 2013, 563, 3674, 513, 1379, 3761, 1770, 2556, 888, 763, 1379, 3761, 1770, 568, 519, 1034, 1271, 851, 540, 513, 7193, 269, 1411, 666, 10464, 856, 593, 824, 2694, 267, 855, 513, 10464, 13662, 308, 666, 6861, 782, 707, 3334, 269, 1411, 1810, 1406, 991, 547, 4444, 519, 1034, 7199, 267, 5207, 26910, 720, 835, 267, 855, 581, 2386, 547, 4444, 689, 513, 18019, 2754, 563, 1432, 568, 519, 2495, 540, 1379, 3761, 888, 14240, 540, 1379, 3761, 2433, 513, 3926, 3246, 1379, 547, 5907, 3937, 543, 3006, 11280, 589, 267, 645, 267, 610, 595, 2687, 547, 922, 1599, 540, 8022, 12511, 8546, 18216, 3941, 267, 4929, 513, 2095, 540, 6475, 1699, 538, 6676, 11387, 267, 610, 7311, 513, 1463, 6453, 538, 7470, 11387, 563, 3963, 1379, 1770, 568, 1271, 547, 519, 2780, 888, 288, 1379, 3761, 1770, 630, 4916, 308, 264, 17838, 1292, 338, 8028, 547, 1970, 19581, 5653, 14931, 9823, 1379, 585, 519, 4835, 3334, 540, 513, 2780, 269, 1358, 849, 1683, 513, 5365, 547, 519, 3993, 4580, 547, 5815, 950, 519, 9823, 28696, 616, 538, 1179, 267, 865, 602, 519, 2780, 568, 2111, 547, 9108, 1379, 909, 543, 18849, 563, 1432, 616, 519, 1271, 3334, 540, 1379, 3761, 888, 288, 1379, 3761, 568, 606, 5907, 5547, 602, 17838, 519, 6453, 540, 606, 20367, 1699, 630, 3722, 264, 883, 513, 1463, 1699, 630, 17584, 264, 6453, 269, 898, 568, 10416, 9967, 540, 519, 1739, 2609, 281, 22155, 267, 6439, 8595, 267, 6882, 543, 26273, 11387, 563, 3963, 568, 621, 1271, 547, 946, 519, 1318, 1379, 3761, 888, 9336, 7193, 5057, 12958, 930, 3002, 267, 543, 602, 11148, 547, 960, 1996, 1283, 2773, 269, 589, 811, 3608, 1379, 3761, 786, 26632, 622, 1447, 3002, 267, 799, 786, 1611, 513, 26982, 2678, 1062, 7064, 547, 11655, 602, 1810, 1406, 723, 547, 2196, 607, 3728, 610, 607, 1279, 267, 1732, 10727, 267, 543, 513, 3476, 14438, 563, 1432, 568, 1379, 3761, 1770, 888, 288, 1379, 3761, 1770, 630, 4916, 308, 264, 17838, 1292, 338, 8028, 547, 1970, 19581, 5653, 14931, 9823, 1379, 585, 519, 4835, 3334, 540, 513, 2780, 269, 7073, 2123, 5904, 24080, 946, 23564, 2173, 1712, 1379, 7727, 563, 3674, 1379, 3761, 1271, 585, 11080, 888, 763, 1379, 3761, 568, 519, 25588, 2295, 540, 707, 11080, 7193, 267, 519, 851, 602, 6933, 919, 519, 4105, 1272, 15918, 797, 540, 1379, 1472, 707, 7199, 16267, 267, 3993, 4580, 267, 543, 12449, 3556, 269, 2334, 543, 519, 14191, 513, 2016, 1379, 3761, 568, 547, 922, 3193, 4452, 3977, 267, 519, 9803, 519, 4398, 563, 1432, 1281, 1379, 3761, 1770, 1796, 585, 888, 20175, 18242, 5149, 630, 13662, 308, 264, 568, 513, 4062, 540, 8800, 602, 568, 1031, 547, 17838, 519, 17752, 1379, 883, 26729, 1379, 547, 2327, 519, 3339, 4881, 540, 2694, 1369, 513, 2780, 269, 13018, 267, 621, 17838, 519, 1292, 338, 8028, 547, 1970, 19581, 5653, 6417, 9823, 1379, 585, 519, 946, 540, 4835, 2780, 2694, 563, 1432, 616, 519, 3334, 540, 513, 1379, 3761, 888, 288, 1379, 3761, 568, 606, 5907, 5547, 602, 17838, 606, 1035, 6453, 547, 546, 322, 6453, 269, 898, 568, 10416, 9967, 540, 519, 1739, 2609, 281, 22155, 267, 6439, 8595, 267, 6882, 543, 26273, 11387, 269, 5295, 3761, 4559, 630, 4916, 308, 264, 616, 1031, 538, 5904, 267, 23153, 5925, 10141, 1562, 543, 2256, 1392, 267, 543, 782, 824, 5907, 3937, 602, 946, 546, 322, 6453, 607, 606, 3403, 563, 288, 1379, 3761, 568, 606, 5122, 3926, 602, 7727, 3167, 1379, 547, 606, 5122, 4452, 269, 634, 3119, 1599, 540, 513, 1379, 3761, 568, 547, 6460, 3167, 1699, 689, 513, 2707, 547, 519, 2953, 6453, 267, 1699, 267, 543, 4908, 547, 1379, 519, 4452, 563, 1432, 568, 519, 1599, 540, 513, 1379, 3761, 888, 20175, 18242, 269, 4934, 540, 6006, 256, 589, 1379, 3761, 568, 606, 5907, 3926, 602, 7727, 3167, 1648, 547, 606, 5122, 4452, 269, 634, 3119, 1599, 540, 513, 1379, 3761, 568, 547, 6460, 835, 1106, 540, 5122, 1648, 547, 1776, 543, 267, 607, 513, 1267, 267, 1379, 7727, 616, 3006, 5219, 547, 607, 3167, 1379, 4780, 1562, 269, 0, 763, 1523, 540, 29563, 814, 1044, 1454, 23503, 1282, 519, 2250, 8717, 538, 2474, 540, 519, 1898, 543, 3606, 2934, 602, 979, 609, 621, 267, 19163, 799, 2516, 610, 2950, 1223, 581, 592, 323, 711, 581, 11280, 607, 29563, 269, 634, 4095, 29563, 2221, 267, 609, 513, 2178, 2146, 7587, 5024, 811, 982, 476, 736, 2929, 543, 10825, 2066, 513, 4627, 2477, 267, 5170, 547, 1332, 538, 2450, 543, 1818, 922, 30427, 4527, 5433, 269, 901, 4015, 540, 3594, 15244, 930, 540, 519, 32469, 609, 519, 4095, 2796, 607, 1134, 607, 538, 519, 2796, 540, 14051, 267, 543, 30427, 1143, 563, 763, 1433, 11828, 519, 27436, 5322, 602, 723, 3366, 547, 519, 5250, 540, 519, 4095, 29563, 543, 5250, 547, 1019, 19166, 545, 2853, 7308, 2081, 543, 1797, 540, 19551, 543, 15357, 532, 1019, 19166, 545, 10362, 543, 519, 4609, 543, 5624, 1141, 971, 6386, 540, 10362, 616, 5340, 543, 875, 891, 2152, 616, 5129, 856, 998, 5931, 267, 543, 12738, 971, 607, 19623, 1137, 543, 2679, 17633, 563, 6637, 476, 280, 281, 4095, 4144, 23159, 538, 519, 2136, 8003, 281, 5822, 268, 7049, 3130, 14268, 685, 14358, 543, 23800, 593, 11595, 5678, 28298, 454, 24465, 4144, 23159, 538, 519, 2136, 8003, 281, 5822, 268, 7049, 3130, 14268, 685, 14358, 543, 23800, 593, 11595, 5678, 28298, 454, 763, 2470, 543, 6708, 540, 6561, 1893, 272, 946, 568, 606, 1271, 6161, 585, 5640, 540, 519, 4095, 29563, 269, 901, 3184, 12116, 519, 2081, 538, 799, 2034, 22831, 4095, 3237, 538, 519, 2136, 8003, 630, 20084, 264, 616, 7680, 519, 6771, 540, 6561, 4654, 547, 741, 15556, 269, 9122, 593, 12170, 4681, 267, 519, 3184, 2488, 606, 22265, 2272, 540, 519, 10409, 6771, 2833, 540, 4095, 3237, 2713, 538, 513, 2244, 1141, 789, 3136, 547, 581, 9228, 543, 8589, 2213, 607, 519, 2048, 1278, 9957, 898, 568, 11130, 602, 4352, 972, 568, 2810, 1382, 2963, 883, 2101, 26058, 1373, 1500, 676, 3703, 12075, 538, 513, 3267, 0, 8253, 2094, 519, 12625, 540, 519, 10570, 9219, 814, 519, 3047, 4810, 971, 513, 2110, 1554, 607, 5147, 476, 3066, 563, 1103, 1249, 267, 621, 729, 513, 627, 25891, 476, 272, 269, 6795, 1984, 1047, 6948 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 1789, 4113, 610, 3819, 268, 30236, 762, 563, 17637, 609, 18305, 7718, 908, 519, 3003, 2627, 540, 519, 5958, 610, 24821, 563, 2704, 335, 20403, 568, 513, 1804, 23820, 540, 519, 561, 4594, 320, 1920, 602, 2729, 538, 519, 1164, 1656, 6756, 4525, 540, 3162, 3013, 269, 4706, 15144, 568, 2571, 267, 3623, 5652, 267, 21743, 543, 5386, 269, 28577, 666, 581, 1500, 689, 620, 335, 20403, 15144, 267, 2901, 6986, 610, 20762, 609, 824, 11103, 630, 704, 1417, 1137, 1590, 581, 7150, 547, 2057, 22801, 4123, 4408, 1040, 1325, 335, 20403, 5958, 568, 1360, 2178, 267, 3819, 543, 21743, 563, 295, 1515, 5833, 689, 555, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 299, 864, 6194, 257, 607, 851, 540, 834, 11286, 1315, 9828, 1315, 7956, 3796, 1299, 1284, 3058, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 271, 952, 519, 5385, 568, 1256, 454, 3698, 6218, 2750, 4219, 29033, 281, 3832, 1087, 11065, 13635, 267, 4009, 281, 3832, 1087, 2529, 13645, 267, 3355, 300, 1468, 281, 842, 815, 476, 271, 2187, 825, 9718, 619, 815, 4604, 269, 3430, 871, 619, 263, 2254, 4604, 6745, 1248, 267, 4009, 264, 1948, 1607, 1590, 581, 2944, 1317, 519, 1219, 2658, 1175, 6410, 267, 865, 891, 616, 20328, 454, 825, 31487, 815, 4604, 269, 3430, 871, 619, 29033, 6745, 1248, 267, 4009, 994, 825, 952, 7003, 263, 3430, 871, 619, 264, 2652, 476, 271, 912, 1038, 2132, 3355, 300, 1468, 454, 825, 8640, 7003, 263, 3698, 11367, 264, 2652, 476, 271, 912, 1038, 2132, 3355, 300, 1468, 910, 1570, 19368, 314, 4580, 4877, 19991, 25292, 318, 520, 4433, 13645, 22708, 825, 30429, 1805, 31104, 815, 11713, 825, 585, 22215, 306, 13645, 538, 31487, 912, 1038, 30429, 1805, 31104, 6910, 9852, 1468, 19368, 314, 4580, 4877, 19991, 25292, 318, 520, 263, 3430, 22326, 306, 13645, 264, 7481, 1038, 30429, 1805, 31104, 31699, 4590, 825, 1219, 2658, 1805, 31104, 815, 11713, 825, 585, 21108, 306, 13645, 538, 9718, 619, 912, 1038, 1219, 2658, 1805, 31104, 6910, 9852, 1468, 19368, 314, 4580, 4877, 19991, 25292, 318, 520, 263, 3698, 2056, 306, 13645, 264, 7481, 1038, 1219, 2658, 1805, 31104, 31699, 4590, 825, 4994, 815, 476, 271, 454, 825, 1570, 815, 3355, 300, 1468, 910, 1570, 19368, 314, 4580, 4877, 19991, 25292, 318, 520, 4433, 13645, 22708, 825, 1948, 8178, 952, 2901, 2427, 666, 3094, 519, 5385, 16349, 569, 630, 328, 4318, 1421, 789, 4465, 1405, 3136, 27300, 4773, 952, 713, 4523, 994, 825, 952, 1570, 3436, 476, 271, 912, 1038, 2132, 1570, 454, 825, 1247, 6936, 912, 1038, 952, 4994, 2999, 7003, 263, 3698, 2658, 1805, 31104, 2187, 2018, 1570, 6834, 30429, 1805, 31104, 27709, 2639, 2018, 952, 1570, 2999, 476, 271, 912, 3546, 2132, 1570, 454, 1038, 3116, 912, 2018, 2132, 1570, 454, 1038, 952, 4994, 266, 272, 2999, 7003, 263, 3430, 871, 518, 1805, 31104, 2187, 2018, 1570, 20699, 1219, 2658, 1805, 31104, 27709, 2639, 2018, 952, 1570, 3436, 476, 271, 912, 3546, 2132, 1570, 454, 1038, 3116, 912, 2018, 2132, 1570, 454, 1038, 4994, 6834, 476, 272, 692, 258, 2398, 12941, 4214, 1599, 282, 7024, 1152, 834, 516, 32208, 257, 7575, 454, 258, 567, 4604, 815, 519, 4604, 1843, 454, 258, 567, 16849, 281, 513, 24042, 540, 12384, 13729, 3615, 5627, 4570, 1847, 318, 5228, 543, 1847, 15461, 10945, 267, 6606, 267, 610, 7183, 952, 782, 7575, 616, 929, 25293, 454, 3698, 32566, 300, 7174, 29033, 281, 3832, 1087, 11065, 13635, 2187, 825, 7173, 815, 4604, 6983, 4878, 4590, 825, 3730, 300, 7174, 815, 630, 3832, 1087, 2529, 13645, 13729, 19572, 21802, 2529, 13645, 13729, 15405, 825, 3656, 300, 7174, 815, 24042, 29033, 269, 29729, 8548, 7174, 994, 825, 585, 1847, 538, 3656, 300, 7174, 912, 1038, 1948, 623, 19991, 568, 12219, 676, 606, 15852, 4062, 454, 1038, 952, 4604, 18994, 318, 3430, 17977, 318, 2421, 263, 2254, 4604, 6745, 1248, 267, 1847, 269, 5228, 5334, 13645, 2187, 2018, 3730, 300, 7174, 314, 271, 4940, 5417, 9852, 913, 269, 5228, 5334, 13645, 994, 1038, 3116, 912, 2018, 4604, 4877, 2313, 9852, 913, 994, 2018, 1948, 1284, 666, 1118, 938, 2990, 811, 3742, 630, 663, 711, 1118, 513, 29749, 1847, 1141, 649, 6336, 519, 5385, 994, 2018, 952, 7003, 6025, 340, 921, 29033, 269, 29729, 8548, 7174, 4297, 3436, 7003, 263, 29729, 300, 7174, 264, 543, 6218, 2750, 4219, 29033, 267, 1847, 30419, 5334, 13645, 264, 13843, 476, 271, 912, 3546, 3730, 300, 7174, 314, 272, 4940, 5417, 9852, 913, 30419, 5334, 13645, 994, 2018, 1948, 1284, 666, 3094, 606, 5385, 454, 2018, 8640, 7173, 18994, 318, 523, 7272, 817, 656, 9852, 913, 264, 610, 630, 2181, 341, 18994, 6831, 2194, 675, 9852, 913, 264, 543, 6218, 2750, 4219, 29033, 267, 1847, 30419, 5334, 13645, 267, 1570, 19368, 314, 2181, 341, 4877, 19991, 25292, 318, 520, 9852, 913, 30419, 5334, 13645, 264, 8079, 13843, 476, 271, 2187, 3546, 3730, 300, 7174, 314, 272, 4940, 5417, 9852, 913, 30419, 5334, 13645, 994, 2018, 4604, 21014, 4590, 825, 952, 7003, 263, 2224, 995, 300, 7174, 314, 271, 8079, 3436, 476, 271, 610, 7003, 263, 2224, 995, 300, 7174, 314, 272, 8079, 3436, 476, 271, 912, 1038, 2132, 3730, 300, 7174, 454, 825, 3116, 912, 1038, 2132, 7183, 692, 258, 11822, 18309, 1599, 602, 1152, 30417, 3983, 15377, 454, 258, 567, 4604, 815, 519, 4604, 1843, 454, 258, 567, 16849, 281, 513, 24042, 540, 12384, 13729, 3615, 607, 538, 32566, 300, 7174, 267, 610, 7183, 952, 1100, 7575, 2743, 519, 7355, 454, 3698, 2241, 7468, 2317, 29033, 281, 3832, 1087, 11065, 13635, 2187, 825, 3730, 300, 7174, 815, 630, 3832, 1087, 2529, 13645, 13729, 19572, 21802, 2529, 13645, 13729, 15405, 825, 585, 1847, 538, 4604, 269, 29729, 8548, 7174, 912, 1038, 952, 4604, 18994, 6831, 2194, 675, 9852, 913, 2187, 2018, 1948, 679, 1780, 656, 7001, 454, 2018, 952, 4604, 18994, 318, 523, 7272, 817, 656, 9852, 913, 2187, 3546, 4604, 4877, 2313, 9852, 913, 994, 3546, 952, 6218, 2750, 4219, 29033, 267, 1847, 30419, 5334, 13645, 267, 476, 272, 264, 13843, 476, 271, 912, 7386, 3730, 300, 7174, 314, 272, 4940, 5417, 9852, 913, 30419, 5334, 13645, 994, 3546, 4604, 21014, 4590, 2018, 1948, 2834, 7001, 1354, 10442, 519, 5385, 2022, 2173, 913, 454, 2018, 3116, 912, 3546, 9676, 19368, 815, 1570, 19368, 314, 4580, 4877, 19991, 25292, 318, 520, 9852, 913, 30419, 5334, 13645, 22708, 3546, 4604, 4877, 2313, 9852, 913, 994, 3546, 952, 6218, 2750, 4219, 29033, 267, 1847, 30419, 5334, 13645, 267, 9676, 19368, 264, 13843, 476, 271, 912, 7386, 3730, 300, 7174, 314, 272, 4940, 5417, 9852, 913, 30419, 5334, 13645, 994, 3546, 4604, 21014, 4590, 1038, 1948, 3143, 7001, 267, 1175, 3001, 519, 4062, 454, 1038, 3116, 912, 2018, 4604, 4877, 2313, 9852, 913, 994, 2018, 952, 6218, 2750, 4219, 29033, 267, 1847, 30419, 5334, 13645, 264, 13843, 476, 271, 912, 3546, 3730, 300, 7174, 314, 272, 4940, 5417, 9852, 913, 30419, 5334, 13645, 994, 2018, 4604, 21014, 4590, 825, 952, 7003, 263, 2224, 995, 300, 7174, 314, 272, 8079, 3436, 476, 271, 912, 1038, 2132, 3730, 300, 7174, 454, 825, 3116, 912, 1038, 2132, 7183, 7531, 258, 5136, 26207, 3009, 2630, 267, 855, 891, 2285, 5813, 883, 519, 3105, 8747, 267, 17611, 269, 519, 2034, 1544, 692, 12163, 258, 25275, 2525, 454, 258, 16448, 16390, 630, 339, 1512, 476, 272, 994, 258, 25275, 2525, 692, 258, 14419, 799, 4773, 616, 12219, 630, 7528, 790, 3007, 994, 258, 567, 4604, 815, 519, 21802, 4580, 1843, 454, 258, 567, 7024, 281, 513, 21802, 2529, 13645, 13729, 540, 12219, 4773, 454, 3698, 12219, 303, 773, 806, 29033, 281, 3832, 1087, 11065, 13635, 2187, 825, 12219, 303, 773, 806, 815, 21802, 2529, 13645, 13729, 4590, 825, 585, 4062, 13911, 538, 630, 3832, 1087, 269, 12702, 292, 2894, 267, 21802, 269, 4629, 10498, 267, 21802, 11065, 23360, 8008, 267, 21802, 14389, 301, 20846, 267, 21802, 269, 5183, 310, 301, 2187, 1038, 585, 4009, 538, 4604, 4877, 773, 806, 263, 12328, 13911, 267, 4604, 6745, 1248, 2187, 2018, 952, 4604, 18994, 318, 3430, 17977, 318, 2421, 263, 2254, 4604, 6745, 1248, 267, 4009, 2187, 3546, 12219, 303, 773, 806, 14491, 4433, 13645, 994, 2018, 1948, 31487, 815, 4604, 269, 3430, 871, 619, 263, 2254, 4604, 6745, 1248, 267, 4009, 994, 2018, 1948, 585, 22215, 306, 13645, 538, 31487, 912, 2018, 1948, 672, 952, 1570, 19368, 314, 4580, 4877, 19991, 25292, 318, 520, 263, 3430, 22326, 306, 13645, 13580, 2999, 1570, 19368, 314, 4580, 4877, 19991, 25292, 318, 520, 4433, 13645, 13580, 912, 2018, 1948, 1363, 12219, 303, 773, 806, 14491, 4433, 13645, 994, 2018, 1948, 1363, 2736, 454, 825, 2132, 12219, 303, 773, 806, 692, 258, 14419, 799, 4773, 616, 4867, 16091, 676, 707, 4773, 454, 258, 567, 4604, 815, 519, 21802, 4580, 1843, 454, 258, 567, 7024, 281, 513, 21802, 2529, 13645, 13729, 540, 12219, 4773, 454, 3698, 4773, 1320, 805, 2989, 29033, 281, 3832, 1087, 11065, 13635, 2187, 825, 4773, 1320, 805, 2989, 815, 21802, 2529, 13645, 13729, 4590, 825, 585, 4062, 13911, 538, 630, 3832, 1087, 269, 12702, 292, 2894, 267, 21802, 269, 4629, 10498, 267, 21802, 11065, 23360, 8008, 267, 21802, 14389, 301, 20846, 267, 21802, 269, 5183, 310, 301, 2187, 1038, 585, 4009, 538, 4604, 4877, 773, 806, 263, 12328, 13911, 267, 711, 4604, 6745, 1248, 2187, 2018, 952, 4604, 18994, 318, 3430, 17977, 318, 2421, 29033, 6745, 1248, 267, 4009, 2187, 3546, 4773, 1320, 805, 2989, 14491, 4433, 13645, 994, 825, 2132, 4773, 1320, 805, 2989, 692, 258, 25275, 2525, 454, 258, 15863, 16390, 630, 339, 1512, 476, 273, 994, 258, 25275, 2525, 692, 258, 28762, 1105, 673, 4341, 3210, 1759, 593, 4773, 12219, 454, 258, 567, 4604, 815, 519, 21802, 4580, 1843, 454, 258, 567, 12219, 303, 773, 806, 815, 707, 4773, 602, 616, 12219, 454, 258, 567, 4773, 1320, 805, 2989, 815, 18545, 781, 4773, 602, 596, 21279, 454, 258, 567, 4570, 300, 7174, 318, 5228, 15461, 815, 1305, 540, 7575, 602, 1058, 581, 2808, 630, 1278, 338, 1058, 581, 929, 25293, 952, 711, 8900, 5148, 6896, 454, 258, 11434, 607, 513, 24042, 540, 21802, 2529, 13645, 13729, 3615, 8204, 689, 5334, 13645, 543, 547, 5334, 13645, 3615, 454, 258, 567, 7024, 281, 7575, 602, 1058, 581, 2808, 454, 3698, 3463, 25215, 2945, 29033, 281, 3832, 1087, 11065, 13635, 267, 12219, 303, 773, 806, 267, 4773, 1320, 805, 2989, 267, 4570, 300, 7174, 318, 5228, 15461, 815, 630, 3832, 1087, 2529, 13645, 13729, 19572, 21802, 2529, 13645, 13729, 3890, 15892, 825, 585, 4009, 538, 12219, 303, 773, 806, 912, 1038, 31487, 815, 4604, 269, 3430, 871, 619, 263, 2254, 4604, 6745, 1248, 267, 4009, 994, 1038, 1948, 30429, 1805, 31104, 815, 11713, 1038, 585, 22215, 306, 13645, 538, 31487, 912, 2018, 1948, 16091, 676, 513, 4062, 4502, 1447, 1570, 630, 324, 3052, 1421, 533, 11921, 6285, 27585, 994, 2018, 1948, 952, 1570, 19368, 314, 4580, 4877, 19991, 25292, 318, 520, 263, 3430, 22326, 306, 13645, 13580, 2999, 1570, 19368, 314, 4580, 4877, 19991, 25292, 318, 520, 4433, 13645, 13580, 912, 2018, 1948, 672, 4570, 300, 7174, 318, 5228, 15461, 314, 271, 4940, 5417, 4433, 13645, 994, 2018, 4570, 300, 7174, 318, 5228, 15461, 314, 271, 4940, 5417, 4433, 13645, 994, 2018, 1948, 952, 596, 666, 7001, 519, 30429, 267, 2015, 519, 7001, 1847, 454, 2018, 952, 22215, 306, 13645, 538, 4773, 1320, 805, 2989, 912, 3546, 4570, 300, 7174, 318, 5228, 15461, 314, 272, 4940, 5417, 263, 3430, 22326, 306, 13645, 994, 2018, 1948, 952, 711, 1970, 300, 1468, 16920, 871, 518, 912, 2018, 1948, 672, 30429, 1805, 31104, 6910, 9852, 1468, 19368, 314, 4580, 4877, 19991, 25292, 318, 520, 263, 3430, 22326, 306, 13645, 264, 7481, 2018, 1948, 672, 30429, 1805, 31104, 31699, 4590, 1038, 1948, 3313, 2436, 596, 666, 6488, 606, 5385, 454, 1038, 1948, 570, 7495, 302, 281, 693, 713, 1448, 267, 1058, 649, 2141, 2015, 621, 10257, 9706, 6372, 547, 1847, 519, 4062, 888, 1038, 1948, 952, 711, 1970, 300, 1468, 16920, 871, 518, 912, 1038, 1948, 672, 9718, 619, 815, 4604, 269, 3430, 871, 619, 29033, 6745, 1248, 267, 4009, 994, 1038, 1948, 672, 952, 7003, 263, 3698, 11367, 264, 2652, 476, 271, 912, 1038, 1948, 1363, 4570, 300, 7174, 318, 5228, 15461, 314, 271, 4940, 5417, 4433, 13645, 994, 1038, 1948, 1363, 3136, 454, 1038, 1948, 672, 1219, 2658, 1805, 31104, 815, 11713, 1038, 1948, 672, 585, 21108, 306, 13645, 538, 9718, 619, 912, 1038, 1948, 1363, 1219, 2658, 1805, 31104, 6910, 9852, 1468, 19368, 314, 4580, 4877, 19991, 25292, 318, 520, 263, 3698, 2056, 306, 13645, 264, 7481, 1038, 1948, 1363, 1219, 2658, 1805, 31104, 31699, 4590, 1038, 1948, 672, 4994, 815, 476, 271, 454, 1038, 1948, 672, 30429, 1805, 1846, 815, 1496, 271, 267, 271, 2639, 1038, 1948, 672, 1219, 2658, 1805, 1846, 815, 1496, 271, 267, 271, 2639, 1038, 1948, 672, 1247, 6936, 912, 1038, 1948, 1363, 2119, 912, 1038, 1948, 17264, 30429, 1805, 1846, 314, 271, 316, 6834, 30429, 1805, 31104, 27709, 2639, 1038, 1948, 17264, 30429, 1805, 1846, 314, 272, 316, 6834, 476, 272, 454, 1038, 1948, 1363, 4849, 912, 1038, 1948, 17264, 30429, 1805, 1846, 815, 30429, 1805, 1846, 454, 1038, 1948, 1363, 2119, 912, 1038, 1948, 17264, 1219, 2658, 1805, 1846 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 8080, 547, 938, 3408, 540, 2413, 5067, 26506, 256, 1411, 1522, 723, 4862, 827, 6965, 1354, 267, 855, 798, 596, 917, 1018, 513, 5067, 6339, 568, 286, 589, 5067, 6339, 568, 513, 1826, 540, 6648, 602, 814, 27552, 3515, 543, 5205, 513, 1808, 22565, 10325, 269, 898, 781, 899, 513, 11015, 609, 1913, 2439, 3086, 267, 1577, 781, 2911, 827, 2413, 5067, 26506, 269, 7073, 5067, 26506, 616, 513, 3787, 1114, 982, 2757, 3283, 1317, 789, 1810, 1405, 2141, 1246, 519, 1482, 3652, 950, 621, 2501, 547, 6586, 2719, 610, 11281, 630, 7474, 1797, 875, 1082, 24424, 972, 616, 538, 1142, 1899, 1040, 1809, 1256, 1498, 2413, 5067, 26506, 949, 2736, 930, 540, 519, 2025, 3652, 267, 789, 1869, 946, 519, 2596, 2856, 540, 2348, 1175, 476, 1691, 3515, 780, 3383, 1946, 1058, 649, 1416, 827, 5067, 26506, 693, 782, 286, 4270, 267, 1589, 827, 713, 910, 1603, 513, 1434, 5067, 6339, 568, 2731, 2182, 256, 898, 781, 899, 6061, 513, 16602, 2979, 1966, 1141, 1169, 2262, 12523, 269, 1656, 2429, 1686, 267, 6266, 540, 4583, 15023, 723, 6068, 1603, 873, 269, 2368, 1004, 3494, 602, 1256, 930, 1360, 5100, 11570, 689, 1279, 3516, 267, 899, 5261, 9956, 267, 4769, 1405, 2328, 741, 1378, 1568, 269, 5502, 267, 789, 1589, 891, 21184, 525, 1031, 15554, 11618, 630, 325, 820, 4408, 264, 547, 15476, 741, 9954, 269, 27355, 1405, 602, 4241, 2496, 4131, 803, 2995, 596, 513, 1650, 827, 835, 971, 2009, 1412, 327, 5200, 262, 2278, 945, 5030, 1282, 10906, 534, 2053, 267, 3957, 11977, 632, 966, 699, 267, 519, 476, 1704, 628, 23778, 540, 10228, 269, 1261, 3357, 689, 513, 1920, 602, 10150, 8380, 593, 4249, 543, 1185, 741, 1378, 9117, 5538, 701, 1107, 3579, 267, 1318, 286, 3807, 4952, 2469, 547, 1294, 513, 1397, 2322, 593, 676, 4890, 561, 3581, 543, 21031, 2439, 299, 867, 10228, 5128, 5206, 4190, 18627, 543, 5129, 609, 1893, 1454, 899, 1346, 1336, 538, 5067, 26506, 269, 1717, 267, 2094, 646, 4371, 513, 1164, 2990, 538, 2486, 267, 13629, 1010, 5339, 21889, 896, 1010, 1483, 2012, 1223, 2014, 8373, 1813, 547, 6848, 8155, 1394, 1287, 269, 901, 3366, 547, 25127, 1851, 5640, 602, 5310, 646, 31205, 4050, 2740, 1524, 930, 540, 519, 1034, 12300, 1568, 11911, 547, 1866, 269, 1215, 10578, 1131, 621, 581, 952, 707, 5172, 6648, 941, 2965, 2854, 676, 2576, 3116, 865, 4583, 2943, 12357, 2496, 3086, 267, 594, 1616, 596, 547, 2119, 1603, 707, 1378, 9910, 1606, 517, 6339, 1210, 2413, 2511, 269, 5457, 267, 1100, 7453, 3652, 4019, 1934, 282, 1152, 2832, 585, 476, 1691, 3515, 543, 2769, 3054, 21176, 269, 5620, 1187, 19234, 609, 1913, 543, 4687, 707, 4555, 998, 14235, 256, 8414, 5675, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5591, 2472, 538, 519, 11127, 563, 23682, 5112, 607, 2048, 4537, 6832, 20371, 763, 1739, 568, 25735, 689, 513, 1007, 14046, 1433, 267, 3733, 9956, 267, 12995, 676, 5261, 2274, 320, 1506, 543, 3370, 676, 661, 2207, 269, 634, 16320, 1108, 849, 16493, 1007, 4773, 19163, 585, 3057, 869, 324, 630, 305, 657, 4446, 828, 1070, 585, 6307, 28788, 2284, 630, 21659, 514, 13879, 1070, 585, 14731, 32365, 630, 289, 14019, 22548, 651, 1070, 585, 31854, 5112, 268, 1744, 6545, 704, 630, 2704, 534, 20307, 1070, 585, 8361, 3026, 6807, 630, 305, 889, 14852, 267, 18706, 517, 1299, 661, 342, 12245, 1070, 607, 1134, 607, 15826, 7418, 689, 5261, 2274, 320, 1506, 630, 534, 31498, 600, 730, 9956, 264, 543, 667, 10005, 12313, 630, 1805, 7806, 5112, 268, 1744, 752, 4944, 699, 607, 30549, 1040, 634, 1739, 1557, 13187, 519, 2013, 585, 10228, 607, 9956, 543, 568, 1065, 11781, 539, 1934, 538, 922, 30810, 267, 1498, 1510, 922, 15853, 267, 799, 666, 581, 2366, 2390, 7662, 454, 272, 269, 9373, 10228, 454, 763, 3348, 665, 1190, 267, 14834, 5115, 267, 29317, 8573, 5200, 543, 13085, 569, 4121, 10564, 25178, 342, 2431, 267, 11977, 632, 966, 699, 267, 476, 1704, 628, 23778, 540, 10228, 630, 14028, 271, 268, 8182, 275, 264, 729, 4535, 883, 513, 1404, 2000, 8221, 1920, 1765, 835, 540, 519, 1101, 538, 4789, 547, 1832, 922, 1378, 2754, 540, 11051, 269, 3571, 22516, 729, 513, 1390, 19121, 540, 16222, 585, 7247, 519, 900, 710, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 17457, 270, 12634, 12312, 6339, 257, 607, 851, 540, 834, 17269, 4953, 23802, 1315, 12312, 26506, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7705, 281, 19850, 7585, 267, 594, 4862, 930, 3214, 693, 1153, 6158, 827, 513, 24242, 3069, 5473, 513, 16995, 2527, 15246, 269, 5620, 596, 2479, 4862, 540, 1945, 899, 602, 1354, 2496, 7692, 281, 23010, 267, 594, 1589, 865, 269, 589, 24242, 3069, 568, 950, 2576, 11099, 602, 513, 1895, 540, 1004, 610, 3906, 616, 31205, 2324, 1927, 547, 798, 1945, 3983, 269, 1809, 2356, 267, 972, 3884, 1405, 1022, 1483, 6169, 547, 1489, 891, 2093, 780, 8334, 281, 7937, 267, 594, 1294, 269, 1924, 267, 789, 1175, 1118, 7058, 525, 1510, 1022, 5013, 286, 2334, 3085, 1405, 3280, 1318, 780, 7692, 281, 22549, 256, 1656, 3006, 267, 891, 6436, 666, 581, 5739, 269, 1280, 3236, 267, 952, 1004, 3494, 513, 2527, 15246, 4769, 1405, 2731, 4755, 267, 789, 1522, 711, 1491, 1483, 6937, 12517, 269, 898, 781, 1271, 547, 3972, 6325, 2959, 543, 946, 938, 1455, 2631, 780, 8334, 281, 5871, 2631, 267, 899, 6616, 602, 15963, 666, 10413, 1004, 952, 789, 2811, 1031, 21354, 2496, 7692, 281, 8786, 267, 4010, 256, 1284, 917, 602, 15963, 666, 581, 5906, 267, 543, 649, 991, 3652, 547, 1832, 721, 2922, 269, 1403, 649, 1376, 18468, 602, 2527, 9496, 902, 5749, 1405, 1483, 267, 1287, 1346, 3652, 1522, 1689, 267, 543, 621, 1223, 2322, 721, 538, 8594, 780, 8334, 281, 26272, 267, 594, 22821, 1405, 2219, 540, 621, 602, 1259, 269, 1548, 3116, 12523, 607, 1210, 938, 1455, 2631, 2496, 7692, 281, 4270, 267, 1577, 781, 2161, 707, 3659, 6645, 596, 602, 789, 4718, 513, 15293, 2063, 3781, 269, 4634, 1498, 789, 2811, 2386, 621, 5949, 267, 596, 917, 602, 15293, 338, 5749, 1405, 1483, 1317, 972, 781, 1100, 3621, 6169, 269, 4635, 938, 1455, 2631, 2337, 721, 1174, 1018, 781, 2693, 547, 581, 3020, 543, 1018, 781, 4440, 1500, 909, 780, 8334, 281, 20944, 621, 256, 1924, 267, 8164, 594, 5873, 9490, 2984, 610, 6436, 267, 594, 1058, 2141, 2119, 547, 946, 1250, 1455, 2631, 543, 1413, 585, 1483, 2963, 267, 1318, 2496, 7692, 281, 1411, 3893, 621, 267, 7705, 256, 2913, 781, 3314, 547, 3251, 8049, 267, 2307, 2055, 267, 543, 2141, 3406, 585, 519, 5168, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 28074, 540, 20010, 9012, 543, 519, 16816, 7304, 697, 568, 14190, 532, 585, 519, 4427, 11437, 540, 3013, 281, 634, 18650, 13201, 2142, 523, 2974, 584, 6244, 563, 8722, 601, 1863, 547, 2671, 267, 15476, 267, 4757, 267, 676, 32088, 563, 1692, 1082, 7270, 543, 9277, 968, 514, 4034, 580, 894, 9739, 892, 616, 5059, 593, 519, 1249, 972, 568, 1100, 1315, 4642, 6086, 633, 2963, 1022, 835, 2965, 5747, 267, 1577, 4805, 729, 20754, 267, 693, 23897, 663, 744, 6545, 27079, 1467, 4446, 543, 6182, 650, 20196, 568, 19163, 621, 729, 538, 1249, 4888, 30862, 2207, 7301, 9206, 535, 8898, 11876, 1314, 888, 763, 2626, 568, 2484, 1932, 1906, 2016, 519, 1799, 3748, 540, 1761, 4539, 267, 602, 568, 607, 12211, 547, 519, 24500, 585, 2870, 713, 835, 811, 540, 631, 3198, 312, 2487, 7301, 2527, 15246, 11876, 31320, 2336, 8170, 1576, 519, 3119, 30254, 568, 31749, 543, 31749, 7784, 1852, 4031, 607, 8297, 1588, 540, 519, 476, 272, 560, 543, 476, 273, 526, 2549, 754, 906, 630, 553, 1312, 616, 1373, 8195, 10032, 693, 519, 1482, 942, 799, 6038, 1797, 4961, 723, 1100, 3540, 2924, 2094, 519, 476, 272, 560, 543, 476, 273, 526, 2549, 754, 906, 568, 1018, 3947, 1379, 547, 519, 1004, 547, 17997, 741, 2924, 1916, 288, 6281, 30254, 568, 547, 9446, 9813, 730, 3043, 8425, 3796, 267, 543, 521, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24719, 13316, 1315, 3117, 335, 16820, 28636, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 1012, 7991, 24544, 538, 28977, 281, 8262, 12710, 4456, 23990, 692, 1103, 713, 3184, 267, 649, 786, 5490, 883, 519, 4241, 1158, 540, 2146, 7020, 538, 11708, 269, 1284, 786, 2263, 513, 1808, 5690, 1572, 8262, 12710, 4456, 630, 19136, 290, 4594, 281, 15531, 3683, 331, 6260, 18877, 538, 14066, 17978, 4635, 1849, 13831, 10500, 559, 2747, 7844, 645, 760, 691, 924, 28977, 1070, 799, 568, 1031, 547, 3713, 20718, 2950, 538, 1804, 5121, 269, 901, 5690, 568, 8045, 1210, 12877, 8967, 1046, 267, 513, 5124, 5399, 585, 2324, 609, 2462, 1239, 780, 2162, 2776, 7528, 28987, 692, 6524, 649, 2253, 267, 2327, 596, 723, 519, 1739, 5124, 8021, 8704, 912, 268, 17877, 454, 268, 12877, 8967, 1046, 454, 268, 17455, 553, 454, 268, 2233, 13695, 692, 2791, 666, 3888, 873, 1210, 10398, 1384, 3499, 7090, 454, 26921, 3888, 11885, 533, 903, 335, 1046, 21795, 1085, 27251, 454, 7884, 2162, 8262, 12710, 4456, 23990, 692, 763, 8262, 12710, 4456, 5690, 568, 513, 536, 760, 691, 924, 3113, 2861, 1935, 547, 4466, 20718, 2950, 538, 1804, 5121, 269, 898, 3096, 513, 12440, 30901, 2203, 547, 2099, 519, 3060, 267, 1141, 9136, 616, 4448, 547, 13421, 789, 4866, 547, 267, 8108, 513, 536, 760, 691, 924, 3113, 780, 763, 5690, 1568, 676, 12055, 8271, 21130, 519, 15376, 5119, 267, 799, 4564, 519, 30901, 540, 9136, 547, 13421, 269, 634, 9337, 4341, 568, 1759, 593, 519, 10171, 540, 513, 6843, 10362, 547, 513, 12440, 267, 799, 568, 7229, 1210, 513, 12297, 1587, 1063, 519, 6843, 781, 4183, 6152, 543, 519, 12440, 781, 4183, 6152, 780, 763, 10171, 568, 1287, 1031, 547, 9337, 519, 15376, 5119, 543, 519, 12440, 4183, 10321, 269, 901, 1184, 568, 7368, 585, 513, 6378, 1297, 540, 23200, 610, 2394, 519, 10171, 7355, 616, 1558, 780, 2162, 23840, 538, 12877, 8967, 1046, 692, 4131, 781, 1376, 676, 1104, 532, 519, 2556, 8021, 1384, 3499, 7090, 454, 5228, 533, 903, 335, 1046, 1104, 27910, 3519, 3667, 454, 5814, 11885, 607, 5286, 454, 5814, 21795, 607, 19073, 454, 5228, 1085, 27251, 4732, 27785, 1104, 524, 338, 337, 24624, 454, 5228, 1085, 27251, 4732, 27785, 7456, 1400, 326, 1104, 2343, 454, 5228, 1085, 27251, 4732, 27785, 7456, 1400, 326, 1104, 561, 338, 336, 337, 454, 5228, 1085, 27251, 269, 9953, 4476, 1104, 7413, 454, 7884, 9202, 267, 649, 5581, 513, 1362, 585, 519, 8262, 12710, 4456, 5690, 1384, 3499, 7090, 454, 5035, 8262, 12710, 4456, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 562, 318, 743, 13831, 267, 562, 318, 28375, 267, 1565, 318, 3433, 267, 562, 318, 23026, 267, 10171, 6831, 761, 4997, 267, 8728, 2187, 1038, 1582, 8542, 318, 743, 13831, 815, 562, 318, 743, 13831, 454, 1038, 1582, 8542, 318, 28375, 815, 562, 318, 28375, 454, 1038, 1582, 269, 14048, 318, 3433, 815, 1565, 318, 3433, 454, 1038, 1582, 8542, 318, 23026, 815, 562, 318, 23026, 454, 1038, 1582, 7456, 1731, 9685, 6831, 761, 4997, 815, 10171, 6831, 761, 4997, 454, 1038, 1582 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4062, 540, 707, 1870, 269, 2334, 781, 2147, 547, 1018, 4523, 1282, 2208, 3942, 14104, 269, 14992, 4309, 8101, 9541, 547, 4492, 741, 7269, 1247, 4758, 9520, 513, 2671, 540, 9562, 543, 1761, 12434, 780, 3719, 875, 1281, 713, 960, 4010, 286, 4270, 267, 4952, 596, 1336, 2576, 8348, 547, 1902, 1269, 1911, 267, 1822, 538, 707, 3395, 21097, 10504, 269, 769, 2132, 267, 789, 2307, 585, 476, 1839, 260, 9562, 540, 707, 1870, 269, 3767, 267, 3079, 540, 2348, 2407, 1852, 543, 5329, 782, 519, 12434, 3054, 267, 596, 2671, 1312, 4220, 543, 12587, 609, 707, 20090, 269, 1403, 707, 6455, 5595, 519, 1985, 1032, 267, 707, 20090, 2640, 1932, 2094, 789, 1378, 513, 6712, 540, 519, 2799, 7443, 269, 1717, 267, 952, 1919, 1810, 1405, 979, 607, 9709, 267, 707, 20090, 849, 8843, 538, 1022, 9271, 780, 2467, 666, 581, 1585, 2010, 540, 9520, 3238, 693, 713, 3942, 267, 971, 607, 21425, 9520, 630, 17314, 344, 2043, 264, 610, 14679, 3854, 10909, 630, 25364, 540, 9520, 1040, 1452, 9520, 2356, 1413, 585, 3728, 21212, 6080, 543, 5499, 2472, 610, 2533, 269, 1280, 3236, 267, 1589, 827, 3167, 6517, 4742, 5051, 2442, 891, 2395, 269, 7767, 832, 1294, 1390, 1761, 538, 3549, 1818, 3167, 6472, 267, 865, 789, 1683, 1804, 5666, 540, 7482, 547, 1489, 2504, 543, 6725, 3646, 780, 8170, 1576, 267, 1169, 5092, 3510, 814, 5294, 543, 931, 269, 2201, 519, 2318, 2427, 267, 2208, 3942, 14104, 2636, 3549, 547, 4336, 3533, 543, 7561, 269, 1635, 8391, 2883, 25380, 267, 4213, 666, 16926, 4966, 267, 6718, 5969, 12967, 2029, 267, 543, 20630, 1007, 6990, 5488, 982, 952, 789, 16941, 9003, 593, 4835, 2200, 269, 5015, 267, 12352, 1063, 11639, 543, 4810, 9520, 1419, 1291, 547, 3407, 4030, 543, 5583, 267, 2810, 8458, 540, 1967, 780, 4913, 267, 4687, 9562, 1797, 1447, 1852, 936, 3375, 6194, 3157, 1369, 519, 2754, 269, 29661, 1590, 2015, 3403, 689, 9520, 267, 799, 3006, 5012, 547, 22195, 610, 14887, 3356, 1813, 547, 3606, 13170, 3268, 269, 5047, 267, 8744, 5007, 6105, 883, 519, 3575, 4679, 2604, 547, 2743, 6788, 543, 5838, 2164, 16425, 269, 14936, 267, 952, 513, 23492, 14543, 5103, 519, 1655, 3646, 267, 9520, 6336, 741, 2724, 267, 543, 11639, 949, 1439, 909, 8900, 26370, 1310, 1296, 540, 2182, 960, 780, 2414, 17412, 267, 2208, 3942, 14104, 4249, 513, 2629, 1909, 538, 9750, 3811, 4213, 543, 6117, 5647, 2066, 1585, 9922, 269, 3807, 899, 707, 19858, 21097, 1796, 8057, 3564, 513, 2241, 4155, 2515, 16007, 267, 1082, 26136, 11457, 883, 9565, 2872, 5716, 7064, 547, 7580, 9541, 1500, 1282, 11358, 8090, 540, 1646, 269, 2755, 972, 616, 2591, 2404, 609, 5007, 2508, 24597, 267, 6297, 4058, 543, 2792, 2327, 4829, 995, 21769, 585, 1312, 11639, 543, 9520, 7567, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 28494, 16728, 17936, 568, 835, 540, 519, 1034, 1271, 543, 6422, 6990, 538, 519, 1158, 543, 538, 519, 5664, 5101, 269, 634, 2601, 568, 1317, 789, 723, 513, 1762, 543, 9432, 2358, 2551, 543, 513, 4129, 1881, 4346, 269, 898, 568, 1271, 547, 917, 602, 621, 568, 513, 10806, 609, 4657, 543, 1950, 3656, 6042, 269, 26243, 267, 1631, 602, 519, 1007, 3549, 1876, 6818, 269, 6904, 5540, 519, 1114, 3029, 540, 9988, 602, 7500, 610, 1616, 547, 7500, 538, 741, 8513, 269, 2334, 568, 1946, 621, 568, 1898, 547, 581, 3222, 540, 15424, 7835, 269, 23883, 1346, 602, 949, 723, 606, 1764, 593, 519, 18142, 1870, 1604, 563, 1103, 713, 2376, 267, 649, 786, 2263, 519, 6286, 540, 18142, 17936, 779, 1007, 3549, 1876, 269, 2060, 713, 1007, 3656, 5943, 267, 1713, 2242, 616, 5189, 602, 10038, 5010, 3549, 269, 769, 1840, 547, 519, 5010, 3283, 267, 972, 616, 1875, 10687, 14293, 267, 3318, 267, 543, 1920, 3283, 538, 519, 18142, 2344, 269, 1284, 786, 5659, 519, 1292, 2242, 5189, 676, 519, 1007, 3549, 1876, 538, 18142, 17936, 267, 922, 5383, 267, 11393, 267, 606, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 294, 9512, 8609, 5685, 3496, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 23654, 16010, 1315, 20764, 675, 13317, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 15536, 335, 6064, 8567, 538, 28358, 22618, 11470, 692, 8702, 267, 1647, 1153, 1053, 267, 547, 938, 3460, 883, 519, 1158, 540, 13777, 22618, 5708, 256, 4653, 267, 649, 786, 2263, 513, 2189, 24848, 516, 1572, 834, 24426, 828, 335, 6064, 8567, 2437, 799, 10905, 1164, 24289, 2257, 5708, 609, 2178, 4168, 2418, 269, 901, 3078, 3575, 5932, 2984, 4904, 609, 2962, 267, 7045, 267, 543, 2620, 5837, 4245, 269, 1924, 31617, 909, 543, 1205, 4712, 585, 513, 13858, 11878, 2439, 1262, 6637, 476, 272, 281, 4197, 15536, 335, 6064, 8567, 4373, 5331, 513, 2104, 1141, 2029, 814, 4359, 865, 1454, 602, 1004, 666, 3986, 741, 4703, 609, 18951, 2694, 267, 5968, 7658, 12949, 1227, 267, 543, 1256, 2661, 11014, 998, 3059, 23629, 1275, 269, 3767, 267, 4952, 891, 6639, 2261, 12069, 17706, 12371, 7258, 7184, 12082, 4168, 4978, 543, 3741, 269, 2334, 781, 1018, 15536, 335, 6064, 8567, 568, 782, 827, 2439, 1103, 713, 9135, 267, 5830, 1491, 4168, 4798, 899, 5132, 267, 4126, 267, 543, 25863, 543, 1747, 873, 1369, 513, 27497, 1399, 267, 1164, 24289, 4259, 269, 1452, 2984, 1419, 4183, 1950, 3197, 10010, 547, 2226, 741, 3909, 31710, 9624, 513, 6385, 4657, 1158, 269, 1635, 3695, 875, 4984, 3082, 338, 547, 1007, 5054, 267, 3988, 2744, 3407, 4030, 883, 1312, 8567, 543, 8103, 3294, 780, 1262, 6637, 476, 273, 281, 10289, 6201, 540, 15536, 335, 6064, 8567, 4373, 3080, 1383, 540, 713, 4241, 12760, 568, 2608, 2704, 7534, 281, 11135, 19664, 24682, 513, 7260, 1759, 593, 513, 30841, 3126, 269, 1325, 7534, 267, 519, 1292, 1915, 267, 568, 513, 2166, 321, 3073, 609, 9058, 5759, 945, 19707, 585, 1200, 3961, 1247, 21679, 609, 2055, 827, 13919, 543, 17035, 269, 10801, 1200, 9035, 267, 1325, 7534, 25395, 519, 1379, 540, 8296, 267, 19807, 267, 543, 1582, 16531, 1107, 4295, 4168, 21644, 780, 5194, 1390, 14745, 2501, 689, 519, 3209, 2608, 10468, 23757, 22083, 265, 676, 5261, 18582, 5459, 269, 4014, 5097, 1634, 585, 6427, 532, 519, 2165, 834, 1097, 1499, 10628, 2437, 18582, 5459, 849, 12538, 883, 10952, 2055, 4478, 5841, 4987, 543, 922, 1761, 4276, 547, 2696, 269, 2755, 711, 16765, 569, 4168, 267, 519, 3209, 12651, 2219, 4538, 2152, 827, 9637, 543, 2820, 6541, 780, 1262, 6637, 476, 274, 281, 10886, 12618, 543, 20828, 538, 15536, 335, 6064, 8567, 4373, 288, 1883, 2460, 540, 15536, 335, 6064, 8567, 3322, 1915, 1646, 543, 4466, 835, 781, 3483, 538, 1272, 269, 1280, 3236, 267, 1577, 721, 2015, 519, 2546, 1349, 693, 519, 4098, 540, 713, 3992, 630, 6518, 4465, 1405, 581, 5018, 2417, 1040, 898, 6257, 513, 1650, 1305, 1282, 2622, 2782, 4083, 267, 10023, 1079, 3197, 267, 24385, 807, 543, 6424, 269, 3414, 23434, 543, 2591, 267, 789, 1332, 607, 2043, 543, 3605, 741, 3020, 10912, 780, 20118, 267, 538, 15536, 335, 6064, 8567, 6386, 267, 23233, 3068, 3665, 3871, 8506, 10100, 267, 6043, 267, 543, 8990, 269, 1306, 789, 6330, 30217, 748, 8916, 1765, 18485, 2168, 543, 5691, 9789, 572, 12325, 1451, 1898, 4245, 827, 15093, 267, 6568, 267, 543, 14955, 6463, 2648, 269, 11086, 267, 789, 8275, 602, 1100, 2339, 875, 4359, 2029, 3587, 267, 930, 3344, 540, 1480, 2470, 2611, 15851, 780, 1262, 6962, 16001, 2026, 649, 9959, 938, 3408, 540, 15536, 335, 6064, 8567, 267, 3314, 602, 713, 9135, 3091, 811, 982, 1175, 1166, 553, 1506, 19269, 543, 9159, 4729, 6050, 282, 621, 2488, 7096, 4030, 883, 5132, 267, 7881, 267, 543, 1018, 621, 1797, 547, 581, 1480, 269, 5664, 1153, 1053, 666, 4324, 7494, 689, 6313, 891, 2984, 1317, 789, 5000, 2565, 3206, 267, 3895, 1930, 5717, 827, 3661, 1949, 267, 543, 8300, 5876, 780, 3528, 8508, 519, 19511, 10600, 1336, 1369, 15536, 335, 6064, 8567, 267, 649, 16436, 7279, 267, 4898, 618, 267, 543, 21481, 883, 938, 2729, 269, 8414, 2542, 267, 543, 949, 707, 1378, 3460, 1291, 596, 547, 1007, 15627, 540, 1620, 543, 7071, 585, 713, 5499, 5339, 11100, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 30948, 513, 11878, 256, 1548, 513, 2622, 2782, 4083, 11509, 1433, 2542, 11878, 256, 4911, 11253, 814, 2944, 621, 2899, 1586, 543, 2016, 1250, 2295, 568, 7287, 543, 602, 568, 547, 2141, 723, 513, 13171, 19721, 2078, 11509, 1433, 538, 1250, 3946, 256, 3776, 1079, 3056, 3197, 616, 16207, 1927, 585, 519, 19160, 540, 22038, 543, 2112, 538, 1931, 547, 7639, 256, 1656, 513, 2648, 1650, 19039, 569, 18742, 18991, 2336, 17951, 11253, 11339, 609, 971, 7553, 543, 971, 27093, 6891, 594, 6415, 2141, 3168, 4464, 547, 1200, 2835, 256, 932, 2526, 787, 543, 11587, 979, 513, 1279, 1259, 538, 713, 1433, 543, 594, 786, 10027, 880, 596, 585, 519, 1964, 540, 1250, 1272, 2336, 301, 611, 807, 10162, 26413, 530, 1389, 909, 519, 8250, 540, 513, 31578, 543, 1287, 519, 12289, 540, 12996, 5956, 543, 1200, 4651, 568, 7166, 267, 1200, 3993, 1965, 7870, 547, 5125, 267, 543, 24385, 807, 9060, 9887, 538, 519, 1416, 540, 606, 1977, 23031, 6424, 1234, 573, 945, 568, 9901, 609, 3478, 1200, 856, 540, 12996, 269, 594, 10150, 519, 1915, 2208, 607, 24385, 807, 9060, 1200, 3483, 543, 24259, 1200, 533, 2086, 1229, 909, 32523, 1310, 1352, 12034, 6424, 2285, 909, 1010, 4960, 547, 9101, 547, 513, 21345, 1920, 269, 1358, 2119, 547, 948, 873, 1088, 341, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24426, 828, 335, 6064, 8567, 257, 607, 851, 540, 834, 11227, 1315, 4168, 1315, 28358, 22618, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 769, 519, 2295, 540, 513, 14297, 2749, 267, 6456, 2476, 538, 606, 796, 817, 11167, 23999, 267, 2893, 4557, 9583, 9838, 5618, 322, 1162, 269, 3962, 835, 4371, 513, 2189, 1379, 602, 1223, 2901, 4688, 610, 798, 558, 8103, 269, 634, 12556, 540, 519, 1158, 1964, 539, 593, 519, 17525, 540, 2947, 2043, 945, 941, 1631, 10356, 1472, 713, 25819, 540, 2665, 780, 16449, 873, 729, 30960, 267, 513, 19023, 4987, 8665, 282, 10793, 267, 513, 13085, 10196, 282, 23183, 267, 513, 10509, 605, 21745, 344, 282, 24955, 267, 513, 9952, 555, 3971, 282, 543, 9986, 14746, 267, 513, 1347, 29487, 6205, 269, 1358, 1185, 1044, 4547, 1927, 676, 513, 12357, 3919, 1634, 607, 1412, 763, 11352, 3299, 25461, 609, 7303, 513, 21472, 2680, 3138, 4040, 936, 18495, 780, 306, 4673, 6743, 693, 1200, 2185, 15274, 1354, 6340, 909, 267, 834, 2704, 2431, 267, 1577, 781, 1205, 3323, 269, 1284, 991, 547, 2697, 799, 2013, 814, 519, 2702, 547, 948, 721, 513, 3200, 9568, 3010, 31568, 21330, 543, 11329, 2509, 519, 1101, 2013, 267, 834, 1607, 835, 666, 13861, 4365, 3270, 269, 898, 1522, 2097, 13561, 1282, 2067, 1608, 600, 885, 3010, 300, 807, 16403, 539, 538, 1985, 267, 10834, 519, 2034, 2013, 267, 834, 4517, 713, 835, 8060, 5907, 3457, 269, 15020, 3730, 585, 10188, 2413, 5989, 3010, 8867, 334, 1159, 25184, 539, 607, 646, 7000, 519, 3791, 2013, 8659, 4359, 9376, 1790, 10107, 2645, 267, 1247, 9986, 14746, 6045, 875, 519, 8772, 2013, 6383, 7791, 1648, 2959, 780, 2026, 789, 4797, 13031, 519, 2027, 5759, 540, 1142, 2013, 267, 8082, 4904, 519, 4055, 269, 1703, 941 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12091, 3930, 639, 543, 585, 29546, 9065, 1446, 269, 1452, 23761, 2673, 1310, 4332, 538, 3339, 9002, 269, 634, 513, 20294, 543, 5378, 1537, 17901, 602, 1852, 519, 1973, 2095, 607, 1134, 519, 6077, 630, 320, 677, 320, 264, 5018, 568, 4625, 7522, 539, 267, 7133, 519, 1973, 856, 6503, 689, 519, 2451, 28602, 548, 269, 9603, 547, 519, 26843, 2451, 20830, 267, 519, 1318, 2427, 540, 519, 2295, 1568, 547, 22771, 269, 1809, 6368, 267, 519, 20358, 2306, 519, 1318, 2427, 540, 519, 2295, 547, 3247, 2324, 1932, 269, 1306, 519, 695, 2863, 338, 5018, 1932, 2673, 267, 519, 1318, 2427, 540, 519, 2295, 568, 711, 2111, 547, 12990, 585, 519, 2451, 15042, 607, 1134, 519, 936, 1740, 2306, 519, 2295, 547, 3111, 563, 29797, 31129, 19382, 9839, 15540, 15486, 454, 763, 3169, 2014, 568, 1869, 513, 9814, 269, 15742, 2090, 616, 1869, 3843, 547, 1265, 952, 621, 666, 2196, 538, 3885, 269, 2368, 540, 891, 2090, 723, 2907, 4767, 602, 585, 15185, 945, 723, 2907, 1185, 513, 4819, 609, 14523, 31129, 19382, 9839, 15540, 267, 519, 8458, 540, 741, 1985, 15922, 2348, 519, 2783, 616, 811, 269, 634, 2783, 666, 849, 11457, 1813, 547, 4049, 513, 20294, 23296, 2670, 630, 11896, 32560, 264, 543, 568, 849, 1336, 2404, 609, 2665, 540, 25306, 779, 6794, 267, 715, 3019, 534, 15540, 267, 2558, 529, 3912, 476, 1240, 261, 476, 2641, 543, 7261, 10973, 5754, 326, 668, 320, 269, 2368, 824, 2090, 723, 849, 3254, 602, 2921, 519, 3075, 21193, 19745, 584, 656, 7765, 585, 17256, 8778, 5563, 267, 1282, 2038, 6379, 666, 849, 1291, 547, 14523, 31129, 19382, 9839, 15540, 454, 29797, 31129, 19382, 9839, 15540, 12580, 454, 3412, 9712, 2299, 1310, 519, 9002, 616, 4535, 267, 789, 1522, 711, 1397, 1022, 4191, 540, 11605, 609, 2463, 547, 519, 2783, 607, 519, 695, 2863, 338, 5018, 1657, 1491, 930, 942, 547, 2673, 269, 634, 8373, 5956, 1310, 519, 19479, 269, 634, 19440, 622, 6799, 609, 7929, 11605, 267, 7411, 538, 7244, 269, 24581, 4992, 540, 2295, 2041, 1846, 267, 2295, 9597, 332, 2720, 609, 513, 21260, 13942, 616, 930, 540, 519, 2101, 4681, 538, 519, 4816, 269, 6884, 621, 1522, 1491, 513, 3923, 1247, 538, 930, 824, 2665, 267, 5556, 24304, 2295, 5821, 4386, 1369, 513, 3018, 689, 519, 942, 540, 4332, 269, 9603, 547, 519, 10009, 540, 632, 2135, 4723, 730, 1973, 263, 1973, 1510, 5135, 1070, 519, 4816, 7140, 4544, 268, 19826, 5328, 630, 1662, 270, 18671, 880, 32396, 540, 519, 2960, 1040, 3245, 1455, 1995, 267, 621, 814, 849, 1044, 7074, 602, 1175, 1472, 519, 942, 950, 519, 9002, 616, 827, 547, 581, 26809, 630, 13627, 476, 4366, 3108, 540, 2085, 264, 689, 519, 6413, 267, 513, 6296, 9584, 540, 17240, 572, 3404, 574, 4479, 568, 2944, 269, 898, 568, 513, 1449, 2944, 547, 2697, 519, 5135, 2157, 538, 519, 1973, 267, 2523, 538, 9002, 16143, 540, 2348, 513, 2565, 22787, 2295, 2068, 269, 589, 8473, 1467, 9501, 6349, 610, 15672, 31479, 5135, 25294, 540, 1472, 476, 6434, 568, 513, 9963, 1129, 585, 14523, 31129, 19382, 9839, 15540, 269, 634, 4816, 1522, 2965, 1413, 3339, 543, 711, 4544, 267, 855, 593, 6251, 6514, 519, 2960, 1522, 581, 513, 3787, 546, 639, 5652, 563, 29797, 31129, 19382, 9839, 15540, 15766, 725, 454, 763, 2783, 666, 581, 4857, 676, 6296, 9584, 2944, 1282, 476, 1691, 268, 1626, 4374, 540, 6379, 267, 609, 519, 948, 540, 16953, 269, 674, 13926, 20192, 18201, 25086, 568, 835, 540, 1346, 18960, 6932, 13753, 5363, 538, 16326, 519, 2783, 269, 634, 20192, 18201, 328, 6945, 666, 5693, 6813, 519, 26843, 8647, 540, 519, 2295, 538, 519, 21565, 563, 29797, 31129, 19382, 9839, 15540, 9615, 454, 12552, 547, 519, 7760, 538, 519, 2361, 540, 4915, 267, 891, 9002, 666, 581, 10710, 689, 606, 2192, 1922, 730, 3460, 998, 1272, 267, 538, 930, 267, 952, 711, 538, 1034, 2665, 563, 3080, 540, 519, 2152, 9619, 676, 1259, 540, 2126, 568, 547, 2327, 7850, 6484, 585, 519, 9002, 269, 7981, 1164, 23343, 12929, 12596, 1522, 581, 11311, 267, 585, 513, 2635, 2597, 2744, 269, 769, 2665, 1141, 8023, 4667, 7543, 267, 519, 9002, 616, 10480, 998, 8023, 13740, 563, 763, 9002, 616, 5701, 609, 1160, 560, 698, 1633, 1231, 547, 1832, 519, 28954, 1930, 543, 3976, 3895, 1973, 2095, 998, 519, 1560, 563, 7197, 540, 519, 5773, 2139, 616, 811, 23080, 14306, 538, 2470, 982, 1373, 30997, 269, 1358, 798, 711, 10826, 519, 9002, 540, 519, 2783, 855, 7520, 6454, 538, 519, 1973, 2095, 269, 634, 6668, 2557, 568, 1869, 2539, 3379, 547, 1034, 824, 13487, 2175, 269, 1452, 5773, 1331, 7439, 6229, 5650, 267, 4437, 1673, 27399, 3794, 3317, 1744, 2863, 26488, 543, 674, 2632, 534, 5650, 563, 763, 1646, 540, 513, 1007, 588, 3042, 10316, 5650, 814, 3254, 930, 1713, 2110, 543, 5420, 2165, 15028, 6364, 538, 891, 9002, 563, 25205, 13519, 29259, 1436, 568, 711, 2944, 8259, 519, 2014, 540, 519, 2783, 568, 513, 25516, 693, 7434, 31027, 636, 269, 769, 799, 2013, 267, 693, 7434, 31027, 26618, 610, 17891, 31027, 739, 3912, 568, 5340, 563, 2005, 568, 835, 540, 519, 1655, 3681, 547, 7227, 585, 513, 20033, 2295, 585, 519, 4816, 269, 2755, 519, 10867, 19179, 1080, 513, 1007, 1418, 267, 17891, 546, 7976, 540, 519, 13811, 639, 610, 513, 13811, 531, 588, 550, 568, 5116, 547, 2226, 606, 7850, 13811, 531, 2450, 563, 2005, 568, 3810, 7543, 585, 519, 5868, 547, 581, 14406, 538, 519, 13753, 2944, 1282, 6379, 269, 1809, 538, 454, 1492, 12691, 2680, 602, 1281, 4755, 267, 543, 519, 20169, 4816, 10953, 1022, 540, 519, 2589, 5018, 1657, 267, 621, 568, 3810, 19624, 547, 3643, 519, 14282, 16362, 693, 519, 9998, 563, 268, 17925, 31292, 6925, 676, 6276, 670, 269, 20703, 2401, 267, 7325, 1329, 594, 269, 661, 269, 32129, 2006, 267, 543, 7325, 1329, 594, 661, 32129, 2006, 563, 268, 17925, 9315, 5735, 281, 634, 12708, 623, 12714, 6651, 676, 19124, 670, 269, 9652, 267, 543, 6276, 670, 269, 20703, 2401, 563, 268, 13879, 26861, 564, 7879, 676, 674, 269, 27722, 595, 7342, 5069, 267, 11022, 267, 26366, 996, 808, 269, 2274, 1597, 334, 267, 11022, 267, 24697, 700, 269, 25204, 267, 11022, 267, 21965, 962, 269, 1975, 784, 267, 11022, 267, 808, 617, 328, 590, 269, 30605, 515, 267, 11022, 267, 22526, 700, 269, 32129, 2006, 267, 11022, 267, 20574, 631, 269, 8865, 344, 267, 11022, 267, 14639, 928, 590, 269, 2701, 742, 1752, 267, 11022, 454, 268, 631, 1601, 1299, 17566, 685, 9839, 8376, 538, 5606, 1218, 267, 5753, 267, 543, 20390, 30105, 676, 670, 7676, 667, 269, 19395, 267, 6424, 808, 269, 3220, 4593, 3326, 267, 7917, 661, 269, 1744, 23098, 267, 30227, 674, 269, 674, 3881, 525, 267, 543, 19395, 563, 268, 14523, 31129, 19382, 9839, 15540, 25103, 547, 26537, 22199, 476, 1015, 336, 543, 476, 277, 336, 543, 1772, 2637, 13443, 13565, 547, 645, 16307, 3671, 589, 20294, 4406, 557, 676, 7917, 645, 269, 670, 15586, 267, 11022, 267, 23436, 808, 269, 9410, 267, 1912, 6185, 1421, 8055, 320, 681, 877, 8566, 578, 6767, 267, 1912, 6185, 1421, 631, 1229, 603, 661, 269, 21741, 836, 514, 267, 12463, 295, 267, 587, 350, 27692, 670, 269, 595, 686, 701, 267, 11022, 267, 543, 667, 269, 8381, 992, 645, 21672, 267, 11022, 267, 1912, 6185, 269, 0, 298, 541, 730, 334, 1797, 968, 1492, 10158, 540, 519, 2506, 27679, 7435, 7536, 306, 1817, 514, 7304, 344, 340, 610, 918, 984, 599, 20076, 7304, 344, 340, 568, 12261, 607, 519, 968, 21930, 11206, 13910, 7536, 2467, 616, 1082, 6163, 540, 10127, 622, 267, 543, 1934, 693, 11518, 645, 622, 2006, 779, 9129, 327, 1074, 534, 9142, 540, 6742, 658, 8551, 267, 938, 2511, 568, 1572, 744, 7219, 1177, 534, 1744, 528, 514, 7304, 344, 340, 269, 898, 568, 513, 7328, 543, 1582, 12413, 1619, 269, 898, 568, 849, 513, 2757, 2511, 540, 737, 26147, 609, 513, 6138, 585, 1272, 269, 898, 10953, 519, 2898, 1268, 267, 543, 621, 814, 1100, 2085, 3970, 610, 9993, 563, 2005, 568, 2352, 547, 1265, 519, 3020, 1686, 267, 1717, 972, 616, 930, 4267, 269, 968, 306, 1817, 514, 892, 568, 849, 1634, 607, 968, 303, 710, 11206, 6100, 898, 7389, 1394, 547, 519, 4457, 269, 968, 306, 1817, 514, 892, 568, 5545, 585, 32599, 22223, 538, 3624, 269, 27550, 340, 3274, 1797, 968, 24709, 338, 19942, 1524, 892, 610, 968, 24709, 338, 540, 1565, 892, 971, 607, 1346, 540, 513, 1153, 269, 769, 519, 4571, 476, 6642, 271, 779, 621, 568, 1767, 602, 932, 9655, 514, 932, 756, 3570, 267, 945, 729, 4535, 593, 744, 7219, 11867, 267, 8547, 1744, 528, 514, 7304, 344, 340, 10127, 622, 269, 1703, 616, 1079, 1949, 476, 272, 264, 918, 984, 599, 20076, 476, 273, 264, 631, 1846, 889, 599, 20076, 269, 634, 1062, 602, 649, 4001, 1934, 568, 519, 918, 984, 599, 20076, 7304, 344, 340, 267, 799, 568, 9859, 676, 17713, 6062, 1744, 1872, 19660, 26981, 1794, 6737, 538, 744, 7219, 11867, 269, 1879, 9835, 9457, 932, 756, 3570, 5747, 267, 17713, 6062, 26981, 1794, 6737, 3576, 936, 519, 556, 1231, 540, 519, 918, 984, 599, 20076, 7304, 344, 340, 269, 17713, 6062, 26981, 1794, 6737, 568, 513, 476, 1015, 628, 23422, 4563, 25028, 563, 763, 4457, 14418, 26112, 941, 1101, 6026, 693, 519, 1744, 528, 514, 13527, 269, 1358, 27361, 519, 1148, 540, 1565, 547, 1852, 543, 4487, 519, 1560, 267, 2247, 267, 1299, 9997, 269, 634, 4457, 22983, 744, 7219, 11867, 538, 519, 476, 279, 628, 2540, 543, 4547, 741, 8165, 2553, 2059, 269, 634, 744, 7219, 1177, 534, 779, 1185, 2907, 2919, 741, 1062, 540, 1582, 12413, 1619, 267, 898, 729, 1572, 968, 5938, 892, 610, 968, 21652, 6100, 634, 3751, 540, 744, 7219, 11867, 10288, 1312, 519, 1148, 540, 519, 1744, 528, 514, 13527, 543, 602, 540, 519, 744, 7219, 1177, 534, 1855, 547, 581, 5916, 269, 1924, 519, 4999, 540, 519, 4457, 543, 744, 7219, 1177, 534, 1062, 729, 519, 4098, 540, 10127, 622, 269, 634, 5545, 936, 337, 27968, 744, 7219, 11867, 1282, 519, 476, 1704, 628, 2540, 269, 1358, 771, 28534, 519, 744, 7219, 1177, 534, 21847, 267, 543, 519, 744, 7219, 1177, 534, 779, 1223, 711, 1287, 946, 267, 4163, 267, 610, 1378, 1022, 9604, 269, 1358, 1185, 547, 2259, 538, 4357, 267, 543, 713, 1291, 873, 547, 4487, 741, 2553, 2394, 789, 941, 607, 14686, 607, 741, 9604, 941, 269, 3973, 267, 789, 3576, 741, 3484, 2645, 543, 2919, 873, 883, 741, 9604, 563, 14532, 540, 744, 7219, 1177, 534, 968, 298, 984, 599, 20076, 892, 1744, 528, 514, 27550, 340, 10127, 730, 334, 454, 302, 7219, 11867, 267, 3567, 4332, 2897, 540, 2413, 1554, 737, 541, 730, 334, 543, 737, 984, 30186, 269, 634, 1739, 568, 513, 28094, 540, 1114, 2959, 540, 1344, 827, 519, 11457, 618, 540, 918, 984, 599, 20076, 1744, 528, 514, 27550, 340, 543, 744, 7219, 1177, 534, 918, 984, 30186, 269, 16024, 2103, 3494, 602, 519, 1148, 540, 744, 7219, 11867, 1855, 267, 1101, 12090, 10446, 540, 1022, 824, 8396, 1062, 269, 621, 568, 849, 5156, 602, 713, 1062, 593, 796, 28534, 8396, 666, 581, 14360, 1394, 936, 476, 1911, 271, 1296, 269, 5221, 519, 6532, 619, 941, 540, 711, 540, 14547, 4567, 267, 9604, 941, 1085, 4100, 269, 4746, 519, 10195, 1378, 796, 10595, 2305, 5795, 4473, 547, 1082, 10728, 2112, 331, 3581, 267, 1142, 32626, 585, 29686, 540, 519, 6532, 269, 1306, 513, 1267, 891, 6381, 21235, 513, 2178, 24539, 585, 519, 11457, 618, 540, 796, 28534, 8396, 563, 3528, 519, 4571, 476, 16328, 271, 779, 267, 744, 7219, 11867, 9411, 883, 513, 4123, 2078, 609, 3624, 269, 901, 4123, 543, 2797, 11505, 4847, 519, 744, 7219, 1177, 534, 1004, 547, 7747, 519, 1114, 3344, 540, 3624, 267, 543, 941, 3976, 6534, 547, 4457, 4216, 532, 1949, 269, 5015, 267, 676, 519, 3735, 476, 9873, 271, 779, 267, 538, 513, 29815, 776, 2078, 267, 476, 3607, 4457, 3885, 543, 1870, 5443, 12306, 593, 744, 7219, 11867, 269, 1452, 3885, 4547, 609, 873, 513, 3099, 540, 1983, 267, 1519, 4457, 19831, 6575, 563, 7437, 519, 476, 9610, 271, 779, 267, 519, 6532, 4810, 1454, 24187, 269, 2311, 1101, 519, 6532, 729, 19618, 676, 3751, 1744, 334, 670, 20076, 538, 476, 16318, 280, 269, 2311, 713, 942, 519, 744, 7219, 1177, 534, 779, 941, 1869 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7829, 4664, 9797, 2337, 538, 1585, 3871, 2496, 7692, 281, 8786, 267, 594, 1205, 621, 1631, 269, 8729, 267, 7705, 2439, 8334, 281, 3143, 1966, 267, 7585, 256, 5457, 267, 2348, 2178, 4081, 1983, 568, 4105, 267, 855, 1810, 1405, 7340, 827, 3384, 707, 661, 304, 1932, 269, 6153, 9939, 538, 1870, 1153, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2467, 616, 11995, 4128, 1946, 2576, 1522, 1616, 547, 979, 547, 1870, 1153, 269, 2368, 979, 547, 1118, 4296, 543, 1628, 741, 3318, 3060, 269, 11524, 1522, 18934, 538, 1931, 547, 1451, 1007, 1983, 269, 4107, 1294, 713, 2619, 538, 2362, 2069, 607, 835, 602, 786, 1291, 873, 547, 741, 5326, 2816, 563, 2690, 10370, 29953, 962, 3019, 267, 621, 729, 782, 540, 519, 1657, 269, 2701, 19801, 538, 519, 25328, 540, 25642, 1982, 693, 772, 6195, 590, 7596, 518, 3427, 540, 6355, 538, 13287, 540, 513, 4876, 602, 1131, 4161, 1200, 1247, 849, 26936, 609, 1200, 2189, 1983, 543, 4690, 269, 12866, 1296, 2663, 267, 962, 3019, 568, 1631, 23928, 538, 17842, 607, 513, 9241, 25945, 21133, 8605, 16373, 15440, 630, 4338, 12613, 264, 2902, 585, 835, 540, 519, 1034, 6444, 3549, 538, 519, 1158, 281, 5616, 563, 3383, 875, 1705, 1352, 979, 689, 772, 6195, 590, 7596, 518, 2875, 547, 17842, 751, 2151, 286, 6736, 1373, 3957, 5440, 21058, 9906, 538, 1200, 1362, 267, 962, 3019, 3085, 1406, 5491, 1200, 1967, 547, 19174, 4805, 269, 13298, 267, 1352, 3081, 3929, 4987, 630, 292, 304, 264, 2443, 519, 2702, 547, 1174, 267, 946, 267, 543, 4383, 707, 4664, 538, 2318, 2081, 2443, 568, 1018, 5280, 1200, 588, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 23852, 29803, 1315, 9442, 1299, 4317, 10341, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 4495, 2390, 513, 942, 267, 972, 729, 513, 1507, 1870, 1572, 834, 305, 755, 545, 7066, 9778, 257, 4092, 538, 519, 844, 5593, 4884, 540, 4024, 578, 15880, 267, 31314, 2620, 1369, 519, 24781, 269, 681, 755, 545, 7066, 9778, 729, 11262, 676, 26795, 267, 513, 2186, 13463, 14975, 4807, 945, 6068, 2870, 29586, 13492, 1210, 2067, 2326, 689, 1200, 10450, 269, 6736, 1373, 1055, 519, 29041, 2619, 267, 1352, 1185, 7307, 547, 1628, 513, 10121, 6075, 3490, 936, 519, 1296, 267, 7064, 547, 2262, 6361, 2173, 1926, 7840, 543, 12119, 4023, 338, 269, 1717, 267, 607, 2029, 4359, 6385, 1472, 873, 267, 1352, 7948, 1405, 948, 855, 1745, 9678, 543, 7255, 585, 519, 2104, 540, 1200, 1870, 780, 11321, 15925, 6785, 602, 2348, 513, 2178, 2228, 4527, 729, 2629, 585, 1022, 2413, 1870, 267, 865, 1352, 21821, 539, 519, 948, 540, 1200, 7023, 267, 8751, 267, 513, 19622, 10509, 16724, 609, 513, 6612, 585, 5885, 2199, 16904, 269, 8625, 267, 789, 4956, 547, 1711, 513, 3896, 15386, 26795, 781, 13144, 543, 5356, 5150, 2228, 8852, 269, 10251, 267, 1813, 547, 31877, 4950, 1569, 267, 789, 5185, 1082, 2591, 2059, 519, 1259, 780, 3080, 1554, 267, 1247, 2324, 3735, 883, 519, 3781, 3843, 547, 14202, 1587, 2592, 5196, 519, 3135, 267, 26795, 8057, 5051, 21616, 607, 519, 4276, 6854, 21177, 856, 269, 2701, 5828, 547, 8751, 267, 945, 521, 19042, 1354, 7713, 519, 7687, 13684, 676, 4057, 5989, 538, 6917, 2127, 269, 1261, 3838, 875, 2352, 621, 1131, 581, 585, 1200, 547, 4482, 1007, 5561, 952, 789, 7948, 1405, 3972, 519, 3135, 547, 1599, 9846, 780, 291, 17827, 711, 547, 1577, 891, 9465, 17225, 741, 3356, 267, 26795, 543, 8751, 25282, 513, 1544, 269, 1358, 6896, 2146, 2621, 1141, 1004, 1223, 5531, 693, 519, 2199, 5399, 1107, 799, 1630, 16556, 7123, 15261, 19712, 4296, 1107, 3850, 3025, 547, 19584, 681, 755, 545, 7066, 9778, 262, 17008, 1927, 269, 1452, 14026, 27838, 23274, 1851, 12543, 543, 4547, 1454, 32571, 3007, 547, 26795, 781, 4558, 269, 11426, 619, 15874, 1565, 827, 519, 2984, 3297, 1142, 6221, 543, 1256, 10150, 5870, 519, 16805, 7376, 9887, 2439, 4913, 267, 13461, 593, 5007, 28503, 7012, 1405, 4998, 585, 1279, 3856, 2208, 269, 1306, 3747, 2799, 267, 11288, 3688, 2968, 4101, 2094, 13875, 19057, 1419, 17388, 547, 1265, 9607, 512, 26786, 2476, 9624, 23090, 2197, 9897, 269, 5047, 267, 5883, 9753, 543, 11891, 16924, 9863, 4074, 1190, 543, 12155, 547, 6959, 269, 8528, 8450, 532, 713, 14196, 267, 1776, 17055, 3957, 21667, 22283, 4464, 269, 1323, 5683, 1762, 3318, 13059, 1753, 1310, 1896, 3811, 1296, 13383, 267, 1352, 6444, 519, 991, 585, 4824, 2792, 9055, 1063, 6917, 2950, 899, 741, 1378, 543, 3677, 4872, 269, 4635, 1200, 6791, 538, 26313, 267, 21667, 6069, 4259, 909, 10097, 1164, 18286, 29577, 5121, 4481, 3358, 585, 6552, 10034, 971, 607, 4024, 578, 15880, 780, 4415, 1489, 689, 8284, 7264, 267, 21667, 14059, 1585, 3028, 7426, 267, 14957, 585, 1732, 3795, 3681, 269, 2991, 3275, 540, 16395, 267, 513, 6237, 4959, 303, 8815, 547, 8831, 922, 3060, 2509, 4024, 578, 15880, 267, 26587, 6325, 4950, 1569, 547, 782, 5321, 543, 4213, 269, 901, 1646, 13087, 26795, 547, 7500, 1200, 2228, 6300, 16900, 267, 8757, 2484, 3564, 1200, 7525, 8378, 269, 898, 849, 8118, 9885, 585, 824, 11639, 538, 2147, 3871, 267, 13321, 519, 2804, 5251, 540, 2899, 25274, 27226, 4525, 780, 7437, 28450, 5698, 543, 10770, 1966, 9010, 267, 26795, 267, 8751, 267, 543, 21667, 7152, 602, 1169, 4161, 6799, 606, 4316, 585, 6454, 269, 1635, 5466, 2152, 7133, 1507, 4213, 538, 6917, 2127, 267, 789, 21490, 519, 1259, 585, 4264, 24454, 12979, 1819, 538, 6639, 7760, 2943, 16614, 540, 2757, 2418, 543, 19824, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 22081, 1281, 519, 3668, 540, 6325, 4950, 1569, 11874, 1860, 1507, 4213, 538, 6917, 2127, 888, 296, 1810, 1405, 723, 2123, 2833, 610, 4664, 547, 2161, 827, 519, 1198, 540, 3668, 540, 6325, 4950, 1569, 593, 1507, 4213, 538, 6917, 2127, 269, 855, 267, 1934, 616, 930, 2081, 602, 519, 3668, 540, 6325, 4950, 1569, 11874, 1860, 1507, 4213, 538, 6917, 2127, 1384, 272, 269, 3908, 2228, 4527, 281, 519, 4950, 568, 606, 1271, 1907, 602, 1507, 4213, 666, 946, 547, 1921, 609, 5561, 543, 4228, 741, 3914, 269, 2705, 267, 1510, 6325, 4950, 1569, 267, 1507, 4213, 538, 6917, 2127, 949, 6560, 547, 2226, 606, 2228, 4527, 543, 14526, 609, 3549, 538, 811, 4683, 2127, 780, 273, 269, 7411, 538, 4466, 5561, 281, 609, 3908, 2228, 4527, 2501, 519, 7411, 540, 4466, 5561, 538, 519, 1101, 1747, 269, 1507, 4213, 1510, 6325, 4950, 1569, 949, 723, 8373, 10229, 741, 2472, 543, 2533, 547, 1761, 5561, 267, 1818, 621, 9875, 547, 5352, 8907, 780, 274, 269, 3908, 1569, 547, 2200, 281, 882, 328, 10640, 25147, 3197, 609, 3982, 14789, 269, 634, 1650, 1058, 11200, 998, 741, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 267, 10771, 519, 2956, 540, 6568, 267, 7881, 267, 543, 1966, 9010, 563, 763, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 269, 0, 476, 276, 269, 272, 5811, 540, 6481, 3194, 543, 4886, 692, 8702, 1394, 267, 703, 516, 3671, 5640, 256, 1284, 4126, 596, 4312, 10150, 938, 3460, 998, 519, 1158, 540, 1072, 543, 4915, 865, 2484, 269, 769, 713, 3078, 1007, 1016, 15492, 267, 649, 5490, 883, 519, 13858, 7706, 540, 2564, 23484, 676, 7421, 2564, 1382, 543, 1646, 269, 901, 3728, 19550, 2872, 814, 2938, 14262, 8906, 543, 10124, 2429, 1686, 267, 689, 10074, 543, 11216, 547, 5444, 11049, 4066, 543, 5841, 4987, 630, 9590, 1040, 1809, 1354, 11362, 883, 891, 4241, 7760, 267, 1577, 721, 2263, 519, 9238, 540, 2564, 1382, 543, 922, 1764, 593, 3782, 543, 2486, 693, 1804, 780, 1262, 21357, 3194, 281, 589, 16684, 11137, 4373, 21357, 1382, 3322, 3621, 2090, 6322, 693, 1620, 3676, 267, 3384, 5574, 267, 543, 5355, 3461, 1416, 269, 898, 13315, 1585, 4610, 971, 607, 7350, 267, 7998, 267, 6323, 267, 6128, 267, 6530, 267, 15257, 267, 4702, 267, 543, 811, 269, 1635, 10128, 1702, 689, 2789, 10459, 267, 3173, 666, 2697, 3270, 267, 1449, 19165, 267, 543, 1020, 3209, 11257, 610, 7459, 547, 2232, 10296, 1072, 2152, 780, 763, 1184, 3335, 5956, 609, 7114, 513, 1966, 610, 2243, 1644, 547, 1480, 1072, 267, 4553, 676, 8888, 6901, 547, 8495, 1761, 3435, 269, 1452, 13753, 949, 4125, 8047, 960, 267, 4791, 8062, 267, 16917, 8344, 12220, 267, 8579, 9382, 267, 610, 824, 2409, 4470, 593, 519, 2470, 540, 519, 1353, 269, 11086, 267, 4681, 1058, 10929, 9263, 2689, 1107, 606, 6268, 5342, 676, 4966, 538, 519, 2361, 945, 2708, 519, 2298, 267, 14496, 267, 543, 4644, 540, 519, 2164, 1991, 547, 8313, 269, 25398, 2689, 5849, 602, 1152, 23674, 1344, 13788, 519, 1857, 6389, 267, 7393, 519, 2949, 3972, 10290, 1465, 540, 2257, 780, 3086, 602, 649, 1174, 1018, 2564, 1382, 14122, 267, 1577, 721, 4983, 930, 8037, 3140, 19325, 538, 2564, 23484, 543, 741, 17720, 6286, 780, 1262, 23208, 6660, 16893, 538, 6481, 16505, 10843, 338, 4373, 265, 22102, 21479, 17261, 1588, 630, 9692, 277, 12684, 692, 1103, 476, 9692, 277, 267, 2296, 10629, 11977, 23514, 1676, 4362, 602, 5144, 2742, 1749, 6534, 547, 10800, 21479, 1705, 711, 4579, 31847, 267, 513, 14686, 2068, 30635, 5109, 2342, 1282, 602, 942, 269, 9122, 593, 713, 8343, 267, 646, 2919, 519, 1158, 781, 1101, 3811, 6669, 1210, 10800, 21479, 3644, 5439, 269, 3571, 5647, 6825, 513, 7432, 1448, 538, 2518, 1072, 267, 6038, 3056, 547, 31847, 16701, 1709, 538, 476, 2735, 271, 780, 297, 523, 1676, 5185, 25949, 7620, 1813, 547, 3668, 540, 6101, 2069, 543, 23349, 2553, 282, 2705, 267, 1010, 29287, 13287, 540, 2963, 2861, 7440, 18617, 562, 904, 16558, 543, 21490, 519, 1259, 585, 2413, 31331, 2853, 269, 4653, 267, 25750, 4688, 6634, 540, 2729, 12422, 267, 11744, 519, 7096, 3310, 835, 1367, 666, 29937, 936, 2518, 1072, 4093, 780, 265, 12901, 756, 8438, 20570, 630, 4572, 279, 12684, 692, 20694, 6387, 18307, 2719, 781, 23139, 6602, 540, 4050, 27957, 538, 476, 4572, 279, 19117, 3968, 2359, 543, 2126, 26336, 269, 2755, 7738, 4620, 686, 8286, 1310, 13059, 689, 16314, 267, 18307, 2719, 4767, 9044, 2208, 32485, 9190, 10125, 7404, 269, 30985, 827, 713, 7613, 267, 646, 9678, 519, 3742, 7623, 267, 799, 2663, 2968, 1634, 607, 4050, 27957, 1107, 519, 1158, 781, 1101, 15084, 780, 293, 548, 2719, 6444, 519, 2956, 540, 4687, 1010, 4466, 4922, 267, 13629, 873, 538, 20380, 13746, 543, 9306, 693, 19014, 269, 3571, 18515, 547, 22412, 622, 1344, 11884, 27838, 5698, 1851, 3744, 5001, 267, 28285, 538, 2527, 2504, 543, 3892, 540, 12468, 3058, 6527, 780, 265, 7049, 2045, 7177, 630, 3192, 274, 12684, 692, 13563, 10196, 29464, 15196, 518, 1071, 2987, 1203, 539, 4719, 4702, 7258, 26304, 28137, 538, 476, 3192, 274, 267, 7175, 5730, 12879, 540, 5027, 9696, 269, 4256, 4480, 3238, 5969, 5027, 6675, 1210, 19231, 11476, 543, 2250, 532, 873, 1927, 3842, 14270, 848, 11476, 267, 8108, 21921, 5364, 5027, 21437, 5827, 540, 11589, 5551, 7592, 780, 1607, 12316, 1505, 8118, 9885, 547, 9118, 3156, 267, 1519, 16220, 9168, 7103, 267, 5444, 3797, 267, 18837, 9443, 267, 543, 10531, 11955, 269, 6736, 5683, 4145, 4478, 10351, 1467, 12381, 267, 4719, 4702, 5170, 547, 18534, 1901, 6211, 8916, 267, 5356, 13778, 3255, 585, 5466, 1950, 1072, 2591, 780, 265, 25369, 11106, 538, 16195, 630, 303, 6974, 4303, 12684, 692, 9213, 267, 3642, 6620, 5659, 5318, 9424, 540, 1239, 267, 3246, 4030, 796, 520, 1555, 762, 998, 2757, 1797, 269, 3245, 16762, 12642, 543, 26129, 1489, 1949, 547, 18951, 23361, 543, 7658, 25924, 5867, 267, 3642, 6585, 10373, 9153, 585, 13321, 3782, 6765, 3631, 269, 1717, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3848, 476, 277, 281, 5851, 14527, 1369, 2657, 1299, 24524, 910, 19484, 19938, 543, 21816, 776, 32310, 692, 7072, 692, 2026, 519, 3782, 5251, 5170, 547, 11457, 267, 4244, 11257, 971, 607, 1753, 14527, 723, 6591, 8560, 1851, 1346, 5275, 14911, 4485, 547, 2757, 4915, 269, 1717, 267, 4180, 2298, 543, 3106, 538, 891, 2853, 3340, 7347, 9431, 23388, 543, 15984, 547, 3964, 3318, 4441, 269, 901, 3184, 12538, 883, 519, 10848, 4478, 519, 7939, 540, 4244, 11257, 998, 519, 7828, 540, 1753, 14527, 267, 5373, 2390, 519, 2136, 8003, 781, 12333, 11621, 16958, 585, 2657, 543, 4317, 5516, 630, 4916, 288, 264, 543, 4937, 15616, 18132, 545, 7027, 630, 294, 6717, 264, 607, 1883, 12013, 1513, 269, 1635, 3695, 3140, 8658, 267, 4207, 2591, 267, 543, 1761, 3435, 267, 6267, 786, 581, 9280, 547, 9691, 2708, 519, 2956, 540, 2500, 7939, 538, 5009, 3461, 10304, 543, 5807, 3972, 538, 4244, 9354, 23857, 780, 4089, 476, 272, 281, 4197, 5851, 14527, 543, 4706, 9255, 10738, 7388, 29232, 6925, 692, 2414, 2253, 938, 6514, 540, 1753, 14527, 781, 1909, 538, 14931, 3782, 5054, 267, 621, 568, 1898, 1101, 547, 3715, 513, 2312, 4214, 540, 713, 2259, 269, 3213, 1441, 676, 4436, 10629, 15656, 670, 23167, 655, 2335, 538, 519, 3735, 476, 1240, 628, 2540, 267, 1753, 14527, 29102, 602, 1412, 3697, 524, 999, 899, 10086, 9001, 3810, 29809, 6878, 547, 12954, 519, 1560, 781, 2067, 7067, 5759, 630, 289, 749, 822, 924, 1299, 6178, 528, 7236, 267, 476, 1001, 271, 1040, 6736, 5571, 9840, 3823, 12117, 543, 7271, 540, 2962, 267, 1753, 14527, 3788, 4922, 1031, 7258, 6671, 5574, 585, 1585, 2175, 267, 1519, 11959, 267, 31264, 267, 543, 30273, 20286, 630, 11293, 333, 560, 267, 30142, 611, 345, 7288, 267, 1299, 5576, 28704, 267, 476, 1001, 274, 6393, 30399, 267, 1753, 14527, 814, 5185, 25949, 1813, 547, 922, 16126, 593, 3741, 602, 11651, 613, 3648, 689, 2963, 2861, 2564, 26336, 269, 11048, 267, 28288, 8044, 602, 25191, 2126, 4566, 543, 8766, 2427, 2360, 1118, 1753, 14527, 606, 10694, 4781, 585, 1082, 2550, 771, 650, 4288, 539, 609, 6671, 14453, 7459, 630, 9824, 2023, 1696, 620, 1421, 476, 1001, 278, 1040, 9182, 267, 10128, 1753, 14527, 883, 13416, 3782, 1949, 19329, 6297, 7156, 540, 9431, 10850, 5827, 540, 13326, 10333, 267, 3106, 267, 543, 7145, 1247, 18245, 3309, 3461, 7375, 780, 4089, 476, 273, 281, 24167, 27943, 645, 3672, 543, 4256, 32018, 538, 744, 2091, 4370, 5851, 14527, 692, 23338, 547, 1022, 4901, 7282, 519, 10350, 540, 1753, 14527, 568, 606, 1620, 540, 519, 3906, 3743, 585, 9591, 543, 30191, 3318, 4441, 269, 769, 519, 2136, 8003, 267, 1079, 3119, 9988, 1404, 2565, 5107, 538, 713, 2543, 281, 519, 623, 6347, 543, 519, 717, 6717, 269, 2755, 519, 5449, 5713, 607, 606, 4830, 13327, 518, 25461, 609, 4509, 1164, 7779, 7939, 2066, 2789, 1072, 9922, 267, 519, 8545, 3252, 4481, 607, 513, 27152, 26273, 585, 23096, 832, 12544, 1895, 602, 2882, 930, 9439, 945, 6451, 1753, 14527, 883, 741, 4791, 27132, 780, 763, 623, 6347, 781, 23626, 11498, 3564, 1463, 15569, 540, 1808, 22825, 282, 3079, 267, 789, 1445, 593, 5009, 17284, 538, 7939, 676, 4259, 14541, 12201, 585, 20774, 2787, 543, 5464, 10220, 1851, 10283, 4703, 630, 32153, 11621, 16958, 267, 562, 6155, 12175, 3414, 11826, 6268, 3157, 267, 519, 623, 6347, 11394, 547, 2327, 602, 22124, 27481, 22608, 7355, 2966, 547, 2149, 1857, 4690, 543, 2226, 6015, 538, 10805, 4648, 269, 1306, 971, 267, 950, 19518, 8451, 27137, 607, 1346, 4857, 1282, 519, 717, 6717, 781, 476, 1001, 275, 20894, 9789, 623, 6347, 4249, 513, 2629, 1909, 538, 7114, 2127, 8506, 6454, 543, 14957, 585, 2556, 2242, 780, 307, 9506, 938, 3007, 547, 519, 717, 6717, 267, 649, 1265, 606, 3919, 13974, 8149, 547, 17420, 1857, 10304, 3842, 7347, 9431, 3800, 269, 13018, 13389, 31497, 1416, 267, 519, 717, 6717, 781, 1121, 527, 2882, 28720, 2069, 543, 2866, 4170, 267, 14236, 31482, 540, 13817, 2265, 267, 543, 25412, 24476, 950, 3617, 630, 14197, 15616, 18132, 545, 7027, 267, 562, 6155, 12175, 9717, 602, 930, 23096, 832, 2308, 1753, 24403, 14319, 1369, 741, 2259, 267, 519, 717, 6717, 1590, 6330, 519, 13857, 14099, 1063, 5885, 5647, 543, 8497, 3964, 4441, 540, 1416, 780, 4089, 476, 274, 281, 12694, 543, 2552, 7337, 625, 28259, 532, 5851, 14527, 19938, 692, 8601, 1655, 3646, 547, 2226, 1164, 9431, 4441, 267, 1896, 2591, 6414, 538, 12044, 1753, 14527, 3927, 269, 3689, 543, 19466, 568, 519, 991, 547, 31363, 12721, 24866, 3823, 519, 2470, 540, 1072, 267, 4576, 267, 543, 2126, 269, 12465, 24118, 3631, 1419, 32692, 609, 1753, 24403, 3741, 267, 635, 2364, 908, 3646, 547, 1711, 24080, 10858, 4808, 630, 13043, 773, 1696, 620, 1421, 476, 1001, 280, 1040, 5015, 267, 3908, 12170, 2963, 5885, 1753, 14527, 781, 12117, 8309, 547, 10770, 27900, 4478, 922, 10014, 538, 14931, 3782, 5468, 630, 4537, 836, 1696, 620, 1421, 476, 1220, 276, 6393, 12234, 267, 4145, 827, 22522, 3872, 21195, 543, 4756, 28671, 2157, 1851, 9439, 2417, 7623, 9431, 7965, 630, 290, 4954, 7615, 1696, 620, 1421, 476, 1001, 279, 1040, 23496, 602, 1753, 13771, 338, 4865, 7850, 1702, 543, 1983, 4564, 513, 1713, 4161, 2016, 519, 9000, 540, 13387, 2866, 3292, 610, 4922, 7608, 13995, 18362, 269, 1677, 2232, 891, 2152, 267, 10319, 7341, 5473, 8639, 689, 1312, 6671, 543, 4244, 4915, 10080, 949, 6961, 6225, 538, 3384, 13618, 12454, 7840, 543, 14304, 2949, 9431, 10850, 780, 4089, 476, 275, 281, 11150, 585, 16237, 28517, 5851, 14527, 19938, 543, 26472, 5398, 30151, 692, 1103, 1769, 540, 519, 27069, 2591, 267, 1896, 2994, 15549, 7156, 950, 20678, 547, 3986, 1753, 14527, 7939, 543, 6536, 1857, 3972, 269, 2290, 971, 1935, 3322, 29103, 1359, 15834, 2792, 9055, 267, 7175, 5188, 1063, 13222, 689, 1114, 2564, 5389, 630, 3849, 4461, 1696, 620, 1421, 476, 1001, 271, 1040, 1635, 14123, 1344, 5385, 543, 8716, 4745, 1966, 9010, 18129, 267, 9431, 4703, 1796, 547, 4324, 689, 2799, 6791, 543, 6626, 5380, 780, 5194, 9621, 28627, 14122, 10115, 538, 11826, 1382, 6322, 693, 19286, 908, 6127, 5817, 1753, 14527, 781, 6069, 2640, 543, 5587, 4328, 6099, 3156, 630, 298, 548, 6359, 333, 523, 267, 12928, 2354, 18876, 267, 1299, 1768, 681, 2884, 267, 476, 1960, 272, 1040, 4014, 4540, 2963, 3788, 1226, 643, 5914, 267, 4797, 7634, 6585, 1761, 547, 1217, 2104, 3609, 3664, 543, 13217, 9431, 4808, 269, 5047, 267, 6220, 3461, 2833, 543, 4093, 883, 2976, 894, 10850, 666, 948, 3666, 6662, 3621, 1239, 609, 16148, 5359, 540, 10835, 8323, 543, 4824, 2298, 540, 1272, 630, 21547, 6403, 553, 4211, 677, 15530, 1696, 620, 1421, 476, 1001, 279, 6393, 15563, 267, 5807, 3152, 11413, 2429, 519, 9431, 1184, 3294, 568, 14063, 538, 14237, 1857, 6015, 269, 13068, 13994, 1637, 540, 6788, 267, 5812, 11268, 540, 4441, 267, 543, 1930, 6278, 609, 7255, 6105, 4196, 547, 6542, 7029, 547, 7863, 3461, 10304, 543, 14027, 3318, 8699, 630, 28158, 18966, 540, 18378, 6925, 267, 476, 1001, 272, 1040, 11086, 267, 11495, 713, 10347, 11466, 7158, 9431, 4703, 547, 7520, 2922, 267, 2500, 5610, 540, 1753, 14527, 543, 824, 4244, 11257, 1369, 2413, 3782, 8916, 780, 6962, 692, 8802, 6819, 1753, 14527, 543, 13380, 4244, 11257, 6799, 2189, 2591, 585, 8041, 1303, 27434, 609, 5009, 1857, 1072, 543, 3106, 269, 14301, 4030, 689, 519, 623, 6347, 781, 23388, 540, 519, 717, 6717, 267, 713, 3184, 25139, 1883, 3344, 540, 3811, 9431, 10850, 267, 8268, 17888, 9465, 267, 543, 6700, 1761, 3435, 269, 25021, 4464, 267, 4797, 5698, 10838, 8639, 8204, 3309, 2564, 5380, 786, 6961, 4105, 538, 5935, 17841, 267, 22537, 4507, 5827, 540, 5870, 2479, 21608, 7569, 1369, 519, 7706, 540, 14911, 4915, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 12507, 628, 569, 19964, 281, 5988, 476, 1001, 276, 454, 763, 5177, 12333, 11621, 16958, 585, 2657, 543, 4317, 5516, 630, 4916, 288, 264, 13290, 547, 3895, 519, 1072, 267, 3106, 543, 8171, 540, 2550, 267, 3028, 3755, 543, 519, 1857, 676, 9870, 4441, 540, 7939, 543, 17319, 14261, 540, 1004, 2324, 538, 1072, 543, 1416, 269, 1358, 616, 606, 4830, 1560, 267, 18177, 547, 519, 5177, 12057, 563, 1103, 5147, 476, 1001, 275, 267, 519, 623, 6347, 2912, 1243, 782, 476, 4037, 540, 519, 2665, 602, 519, 4937, 15616, 18132, 545, 7027, 630, 294, 6717, 264, 1185, 6806, 693, 519, 3355, 5933, 540, 922, 8516, 547, 26821, 630, 293, 9143, 264, 1184, 1282, 519, 476, 1321, 3923, 1974, 689, 476, 272, 4873, 476, 1001, 274, 547, 476, 1789, 2904, 476, 1001, 275, 269, 634, 3803, 2357, 18743, 540, 519, 623, 6347, 779, 20894, 4667, 14042, 269, 3371, 568, 513, 2110, 21626, 689, 519, 8753, 540, 922, 1867, 912, 763, 6708, 540, 519, 19518, 649, 1336, 538, 713, 20894, 630, 553, 1305, 856, 538, 1469, 1657, 264, 799, 1644, 547, 14286, 2066, 1169, 2460, 540, 519, 2013, 1740, 5943, 267, 607, 1134, 607, 7839, 14286, 547, 16783, 609, 519, 717, 6717, 779, 1378, 5773, 267, 12651, 6161, 827, 519, 6708, 547, 799, 519, 1857, 666, 723, 1476, 573, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 12709, 14527, 257, 607, 851, 540, 834, 4047, 22483, 1299, 32362, 1315, 20010, 26935, 625, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6637, 476, 1691, 281, 4197, 25181, 5071, 543, 28304, 4530, 17520, 692, 1103, 10262, 1374, 568, 782, 827, 1818, 5624, 1413, 4190, 543, 1745, 6899, 269, 5620, 596, 2479, 15336, 883, 513, 4055, 543, 5433, 14678, 6126, 1317, 621, 6743, 865, 18241, 543, 18136, 286, 2334, 781, 1018, 1434, 9703, 1374, 666, 798, 256, 1656, 7058, 1018, 286, 1411, 1522, 581, 14281, 547, 917, 602, 6752, 4249, 513, 2462, 1909, 538, 875, 649, 1374, 938, 5321, 543, 824, 11255, 5624, 780, 5331, 596, 2811, 9849, 707, 5172, 28459, 269, 3767, 1589, 827, 1946, 596, 899, 621, 910, 6148, 621, 781, 519, 2681, 267, 4806, 267, 610, 5958, 269, 3807, 899, 9660, 267, 11623, 666, 849, 723, 4778, 267, 3270, 267, 543, 17234, 602, 2285, 873, 2189, 6163, 269, 1879, 4583, 6752, 9858, 899, 23081, 334, 26960, 601, 1711, 1007, 7802, 10070, 267, 789, 1419, 2097, 909, 609, 4195, 2093, 602, 2663, 1397, 909, 538, 11647, 267, 8654, 26892, 267, 3774, 17549, 267, 543, 811, 269, 901, 4276, 1063, 6752, 543, 9703, 1374, 2306, 1312, 4610, 1256, 811, 4277, 2439, 3086, 1577, 781, 2911, 827, 1945, 3116, 1271, 1247, 1565, 281, 1449, 4160, 269, 1403, 596, 1205, 8401, 1354, 2921, 4255, 267, 1810, 1405, 5855, 282, 621, 4523, 547, 6266, 540, 1004, 269, 1809, 1934, 616, 930, 2081, 547, 948, 2569, 1346, 14221, 4606, 1384, 272, 269, 16259, 6619, 540, 942, 281, 5269, 2386, 596, 1174, 519, 1570, 676, 4974, 513, 2370, 3787, 1142, 1554, 3079, 540, 16081, 2719, 693, 519, 2063, 8792, 563, 273, 269, 13773, 2318, 281, 3816, 785, 3054, 602, 596, 4312, 5249, 2182, 543, 17330, 547, 8011, 563, 274, 269, 6657, 11005, 2553, 281, 19171, 707, 4064, 267, 1491, 2620, 24967, 267, 543, 4952, 3054, 538, 513, 9350, 1747, 267, 899, 14084, 593, 513, 11824, 610, 9361, 896, 513, 3529, 563, 275, 269, 5192, 2614, 3207, 543, 3548, 2635, 6980, 281, 2659, 2634, 2115, 1648, 547, 960, 922, 1655, 267, 2523, 950, 2921, 513, 1449, 563, 276, 269, 10312, 593, 835, 2243, 693, 513, 942, 281, 5213, 1405, 19060, 998, 519, 3003, 981, 282, 1224, 2055, 5402, 543, 2626, 873, 1900, 8386, 9912, 780, 2691, 621, 2501, 547, 16304, 1225, 13935, 630, 31138, 5702, 1644, 547, 9703, 1374, 1070, 1705, 596, 917, 602, 1141, 596, 2322, 519, 11425, 666, 1860, 875, 1164, 519, 18109, 5654, 286, 4107, 1004, 2356, 3888, 1225, 1555, 22203, 1318, 1657, 741, 9486, 267, 855, 952, 596, 6318, 519, 3046, 2362, 1765, 531, 2865, 15700, 519, 1283, 540, 519, 7406, 22924 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 268, 385, 490, 338, 2967, 269, 0, 1432, 568, 630, 732, 264, 11829, 18429, 888, 294, 718, 18429, 616, 561, 7927, 610, 10007, 602, 1020, 538, 519, 7086, 31041, 610, 23925, 13811, 269, 2368, 540, 519, 6464, 799, 2291, 538, 519, 7086, 31041, 267, 971, 607, 8501, 267, 7513, 21536, 597, 889, 3729, 267, 543, 7513, 19941, 267, 2182, 523, 883, 2901, 835, 1804, 6149, 610, 1082, 1507, 3283, 269, 4340, 547, 2405, 850, 343, 6625, 779, 2564, 8675, 267, 513, 7086, 7723, 568, 968, 288, 598, 17917, 538, 519, 7086, 31041, 610, 513, 23925, 13811, 267, 7768, 30109, 540, 513, 7848, 540, 8501, 267, 7513, 21536, 597, 889, 3729, 267, 543, 7513, 19941, 267, 12212, 607, 513, 6986, 6149, 7768, 540, 1175, 835, 540, 891, 6878, 6100, 1323, 2376, 6257, 513, 7086, 31041, 538, 519, 23925, 13811, 2147, 547, 3843, 547, 25837, 513, 17075, 3440, 998, 513, 12450, 563, 2005, 568, 6059, 602, 827, 476, 736, 2929, 4892, 723, 7086, 18429, 269, 589, 1353, 7000, 602, 519, 9860, 540, 7086, 18429, 538, 4079, 540, 4853, 1242, 2477, 568, 5111, 476, 1015, 260, 543, 568, 6029, 513, 12402, 547, 4473, 563, 1103, 1931, 547, 1732, 1174, 1018, 7086, 18429, 616, 267, 649, 991, 930, 1344, 827, 519, 7086, 31041, 543, 519, 23925, 28954, 563, 1432, 568, 519, 7086, 31041, 888, 763, 7086, 31041, 568, 513, 1507, 5485, 4092, 593, 519, 1318, 11804, 2427, 540, 519, 1560, 267, 593, 519, 9207, 728, 540, 519, 6797, 269, 11829, 630, 321, 850, 264, 568, 513, 3039, 880, 29744, 5277, 799, 519, 6797, 7472, 269, 11829, 568, 6740, 543, 13671, 538, 519, 7086, 31041, 269, 11829, 4422, 883, 519, 1507, 16892, 3842, 519, 23925, 28954, 547, 7520, 519, 12536, 267, 5631, 540, 9600, 269, 5272, 942, 649, 3548, 930, 7086, 568, 5950, 883, 519, 24026, 269, 634, 23925, 13811, 568, 513, 7522, 8546, 563, 1432, 616, 7086, 18429, 888, 2691, 519, 6464, 538, 519, 7086, 31041, 267, 8501, 267, 7513, 21536, 597, 889, 3729, 267, 543, 7513, 19941, 616, 856, 540, 3666, 7086, 18429, 949, 1106, 269, 1703, 616, 1079, 1292, 2010, 540, 7086, 18429, 912, 2419, 7995, 7086, 18429, 1107, 891, 949, 1106, 952, 972, 568, 1932, 1454, 8501, 538, 519, 23925, 286, 1358, 616, 519, 1292, 1826, 540, 7086, 18429, 538, 519, 5177, 543, 519, 7330, 563, 303, 580, 618, 7086, 18429, 1107, 891, 1106, 950, 519, 23925, 814, 1932, 1454, 21536, 597, 889, 514, 269, 1358, 616, 811, 1455, 1851, 2550, 945, 723, 6797, 2068, 267, 7783, 23925, 13740, 610, 1973, 4713, 267, 971, 607, 31724, 16052, 17350, 563, 1432, 616, 519, 2589, 540, 7086, 18429, 888, 763, 5354, 540, 1004, 609, 7086, 18429, 723, 1100, 2589, 693, 782, 269, 901, 568, 1317, 519, 10007, 3622, 3251, 538, 519, 7086, 31041, 543, 2014, 1100, 2042, 269, 6884, 267, 2705, 267, 7086, 18429, 949, 1291, 547, 1781, 548, 1097, 560, 4345, 630, 514, 4148, 3139, 7086, 31041, 1040, 12580, 540, 7086, 31041, 6553, 1331, 912, 303, 664, 593, 519, 1318, 11804, 2427, 540, 519, 1560, 267, 1175, 2630, 519, 28937, 454, 303, 664, 538, 519, 1318, 13105, 454, 289, 18416, 897, 545, 1107, 6884, 519, 7086, 18429, 949, 1780, 1524, 998, 519, 23925, 13811, 883, 519, 5918, 31829, 636, 269, 1879, 713, 4523, 519, 3461, 949, 1995, 536, 18416, 897, 545, 1107, 513, 11213, 2783, 269, 634, 1928, 568, 5433, 538, 519, 5580, 851, 540, 519, 17737, 267, 855, 666, 849, 2291, 538, 519, 4099, 540, 519, 17737, 267, 610, 513, 2370, 547, 519, 1318, 540, 621, 269, 10266, 568, 811, 1455, 827, 606, 5662, 1310, 4189, 267, 2523, 952, 519, 3461, 814, 1185, 513, 1164, 19339, 7594, 269, 634, 1928, 786, 581, 3586, 543, 786, 2063, 513, 1906, 3108, 267, 543, 1287, 1016, 2515, 269, 2368, 2550, 786, 723, 1875, 3613, 641, 1928, 585, 476, 2190, 3108, 267, 1247, 1866, 949, 2833, 6329, 540, 1928, 563, 14813, 1254, 1107, 1403, 519, 7086, 18429, 723, 3361, 513, 7086, 31041, 3968, 519, 3461, 949, 723, 513, 8611, 543, 1995, 695, 1853, 532, 269, 769, 519, 5354, 540, 7086, 7723, 3968, 2665, 519, 3461, 786, 581, 32509, 543, 723, 519, 7086, 7723, 4907, 1227, 6569, 563, 297, 16184, 823, 1107, 1403, 519, 7086, 7723, 3762, 519, 7086, 31041, 543, 4991, 12758, 538, 519, 23925, 13811, 621, 949, 3625, 519, 8574, 540, 23925, 883, 519, 16892, 269, 634, 23925, 786, 1287, 694, 788, 883, 519, 18072, 543, 519, 3461, 786, 1397, 4191, 540, 795, 16184, 823, 1107, 519, 2960, 543, 519, 16543, 540, 519, 4064, 786, 581, 5835, 269, 769, 1034, 2665, 713, 28658, 786, 2154, 519, 10551, 8851, 540, 519, 7086, 7723, 269, 2368, 2550, 616, 18822, 543, 519, 7086, 7723, 5555, 10596, 883, 519, 16892, 563, 303, 4545, 805, 4345, 1107, 1403, 513, 1507, 7086, 7723, 10596, 998, 519, 23925, 13811, 543, 7161, 519, 25524, 13811, 267, 610, 3123, 513, 17406, 540, 15559, 543, 23925, 883, 519, 13811, 267, 519, 3461, 949, 1020, 20633, 4345, 563, 1432, 3123, 7086, 18429, 888, 32546, 616, 711, 4625, 2386, 1946, 930, 1004, 1020, 513, 3114, 19261, 538, 741, 7086, 31041, 799, 3123, 7086, 18429, 267, 1247, 1866, 798, 711, 269, 1717, 267, 649, 798, 917, 602, 7086, 18429, 616, 811, 1455, 1851, 912, 7021, 7076, 270, 984, 3150, 1004, 267, 2523, 2021, 269, 589, 1353, 7000, 602, 513, 4439, 3101, 4571, 337, 858, 3592, 29156, 513, 4807, 779, 8458, 540, 3384, 7086, 18429, 543, 519, 991, 585, 6391, 547, 4894, 873, 269, 6468, 945, 723, 1044, 9176, 454, 10144, 945, 723, 5063, 4503, 6266, 540, 2597, 563, 4504, 1549, 958, 9561, 2597, 543, 1287, 1036, 8724, 621, 949, 2333, 2367, 779, 1981, 585, 7086, 18429, 2663, 538, 1272, 563, 18131, 2921, 5711, 15333, 1061, 1161, 563, 18131, 18460, 1164, 1673, 846, 21110, 3797, 454, 10144, 609, 513, 2673, 3448, 945, 814, 1185, 7086, 18429, 563, 288, 1353, 7000, 602, 513, 5444, 14583, 3648, 4679, 519, 1981, 540, 3384, 7086, 18429, 563, 10144, 4171, 6981, 540, 8192, 3170, 568, 1164, 563, 23562, 823, 607, 1082, 2021, 1205, 7086, 18429, 982, 2367, 563, 10144, 936, 476, 2568, 1296, 540, 2085, 563, 30943, 1977, 12075, 563, 10144, 945, 1491, 2493, 1231, 630, 3273, 6856, 565, 268, 869, 1359, 5061, 1916, 10144, 609, 3987, 563, 295, 768, 821, 10682, 3797, 630, 16281, 307, 264, 585, 2021, 1282, 519, 22797, 568, 5532, 547, 513, 2362, 1981, 540, 7086, 31041, 2042, 269, 589, 1353, 1336, 602, 15679, 307, 13950, 676, 2960, 15649, 610, 575, 1564, 13514, 513, 4130, 1981, 982, 15679, 307, 2016, 30375, 563, 1692, 616, 7086, 18429, 8995, 888, 1103, 1082, 2665, 7086, 18429, 616, 4362, 676, 8009, 950, 519, 3461, 568, 1373, 5701, 585, 1945, 3116, 269, 589, 4387, 949, 14353, 7086, 18429, 1310, 513, 8501, 1449, 267, 606, 16953, 11571, 267, 513, 1973, 1449, 267, 606, 16953, 11571, 267, 610, 1256, 606, 2473, 11920, 269, 10552, 4255, 949, 581, 1031, 547, 1413, 585, 4191, 540, 3968, 267, 25518, 267, 20633, 4345, 267, 610, 795, 16184, 823, 563, 288, 20004, 568, 2901, 22280, 883, 519, 1973, 6908, 865, 602, 621, 30211, 883, 519, 23925, 28954, 610, 7086, 31041, 267, 610, 621, 568, 17332, 2786, 883, 519, 23925, 28954, 647, 532, 606, 1439, 24005, 630, 2207, 9573, 1107, 1439, 25646, 1427, 5766, 8565, 26601, 836, 11340, 4545, 805, 860, 1429, 344, 1040, 634, 20004, 2982, 909, 593, 2473, 17530, 269, 18317, 9573, 568, 849, 1031, 547, 12398, 543, 4894, 10007, 538, 519, 23925, 13811, 563, 763, 4387, 786, 1287, 581, 2111, 547, 1413, 693, 519, 2473, 17530, 543, 2697, 2009, 7086, 31041, 610, 23925, 13811, 4713, 267, 971, 607, 20633, 4345, 267, 2860, 540, 519, 18558, 267, 610, 7086, 18429, 269, 634, 2473, 17530, 786, 5815, 547, 519, 4387, 2436, 519, 20004, 568, 2469, 547, 1141, 621, 1058, 979, 1107, 1775, 4318, 269, 519, 6797, 267, 23925, 28954, 267, 24026, 543, 7086, 31041, 269, 1403, 519, 20004, 1281, 568, 711, 1459, 538, 835, 540, 891, 2127, 621, 3622, 1797, 602, 519, 7086, 7723, 568, 4929, 513, 31797, 269, 1323, 4274, 786, 723, 513, 1732, 2856, 540, 1141, 519, 7086, 7723, 568, 4092, 563, 6311, 11571, 630, 20663, 1242, 29821, 11571, 994, 1607, 568, 513, 1875, 29554, 2473, 11920, 602, 7472, 3444, 16687, 5961, 540, 519, 3330, 540, 519, 1480, 1560, 563, 2419, 3421, 322, 842, 19973, 630, 295, 2839, 288, 11571, 994, 288, 1507, 2179, 540, 20027, 14599, 1570, 568, 22280, 883, 519, 3461, 269, 901, 568, 12842, 676, 519, 7086, 31041, 267, 799, 568, 1287, 25623, 547, 4579, 269, 901, 1449, 949, 13209, 9402, 27373, 540, 519, 7086, 31041, 610, 606, 25518, 540, 519, 23925, 13811, 563, 1432, 568, 519, 2126, 585, 7086, 18429, 888, 763, 7086, 18429, 616, 1152, 5701, 952, 789, 723, 3361, 7086, 31041, 6553, 267, 31797, 540, 519, 23925, 28954, 267, 610, 952, 789, 723, 6410, 689, 519, 23925, 28954, 883, 519, 24026, 269, 14904, 945, 616, 5701, 616, 3622, 2322, 593, 513, 1970, 3170, 2732, 563, 2419, 1961, 1097, 560, 26618, 1797, 519, 10551, 8851, 540, 519, 7086, 31041, 269, 901, 568, 2356, 5340, 609, 1883, 23346, 6391, 630, 2381, 574, 958, 12362, 6391, 264, 1107, 513, 1507, 1651, 1707, 568, 1500, 269, 1717, 267, 3006, 1883, 23346, 6391, 568, 711, 2009, 585, 827, 476, 1015, 260, 540, 2550, 267, 945, 991, 1930, 1781, 548, 1097, 560, 26618, 269, 2060, 1930, 1781, 548, 1097, 560, 26618, 513, 1804, 2759, 568, 1500, 538, 519, 3461, 779, 17737, 269, 14904, 945, 10929, 1930, 6391, 2154, 513, 3476, 6413, 3251, 543, 6051, 942, 269, 1403, 513, 3461, 779, 7086, 31041, 568, 16094, 28332, 646, 24172, 786, 2154, 1930, 6391, 563, 288, 1353, 1336, 602, 1210, 513, 18951, 13930, 547, 4894, 513, 3461, 779, 7086, 31041, 676, 1883, 3620, 1961, 6391, 630, 331, 777, 541, 25646, 1781, 548, 1097, 560, 26618, 264, 568, 607, 2922, 607, 2324, 609, 513, 1480, 13930, 563, 763, 7086, 31041, 666, 581, 6569, 676, 10024, 998, 519, 29199, 267, 713, 2376, 6941, 563, 288, 1353, 1336, 602, 14669, 547, 7839, 3661, 267, 2038, 1781, 548, 1097, 560, 26618, 3648, 6971, 6413, 13978, 538, 2550, 609, 7646, 547, 9793, 7086, 7723, 20633, 4345, 609, 1100, 2333, 538, 8374, 610, 9019, 563, 2026, 5111, 476, 272, 538, 476, 275, 2550, 945, 10929, 1781, 548, 1097, 560, 26618, 723, 7086, 7723, 24088, 1369, 513, 1032, 267, 1082, 2550, 616, 2016, 579, 4592, 1372, 20293, 3273, 545, 3679, 630, 1492, 3679, 1336, 538, 23925, 1040, 772, 4592, 1372, 20293, 3273, 545, 3679, 24506, 519, 8501, 1543, 540, 23925, 267, 1818, 621, 1447, 2693, 602, 10007, 786, 1106, 563, 2252, 519, 7086, 7723, 568, 1500, 540, 8501, 621, 666, 3006, 581, 7444, 15702, 609, 2712, 338, 1712, 20293, 3273, 545, 3679, 269, 901, 1826, 540, 2126, 267, 1634, 607, 27072, 267, 949, 1491, 909, 547, 476, 2190, 3275, 547, 581, 2500, 269, 898, 568, 711, 607, 2500, 607, 6391, 267, 855, 568, 3006, 519, 1152, 3903, 585, 2550, 945, 3112, 723, 513, 2489, 606, 20469, 563, 2207, 9573, 630, 17484, 25646, 1427, 5766, 8565, 26601, 836, 11340, 4545, 805, 860, 1429, 344, 994, 1103, 930, 4686, 2665, 267, 950, 513, 3461, 3112, 723, 6391, 610, 2712, 338, 1712, 20293, 3273, 545, 3679, 267, 646, 24172, 949, 10929, 18317, 9573, 267, 799, 3340, 513, 2199, 606, 20469, 269, 589, 8465, 6775, 19945, 6776, 8254, 630, 754, 24005, 264, 4422, 1524, 519, 3461, 779, 5023, 267, 998, 1010, 17017, 9667, 1062, 543, 883, 519, 7086, 31041, 269, 1323, 30788, 12699, 5911, 11097, 839, 519, 6679, 540, 519, 23925, 13811, 282, 519, 10007, 616, 6569, 610, 2451, 547, 1780, 883, 519, 16892, 563, 19575, 337, 21319, 8710, 6329, 616, 6322, 693, 519, 7086, 18429, 799, 2736, 873, 909, 269, 1403, 789, 1831, 1507, 2614, 789, 666, 1287, 1780, 9108, 538, 519, 2550, 588, 8962, 269, 901, 1826, 540, 2126, 568, 16613, 543, 568, 1152, 2479, 1031, 950, 972, 616, 1906, 7086, 18429, 1459, 563, 4467, 4124, 540, 7086, 18429, 454, 2252, 519, 23925, 13811, 610, 5918, 31829, 636, 616, 17808, 676, 7086, 18429, 519, 2095, 540, 9667, 23238, 547, 519, 18558, 949, 581, 17808, 267, 713, 666, 2014, 795, 16184, 823, 543, 8650, 20633, 4345, 269, 9615, 2356, 3322, 519, 10551, 8851, 540, 519, 7086, 4565, 5417, 619, 563, 2252, 568, 1455, 585, 1004, 945, 723, 1185, 741, 7086, 31041, 6569, 547, 1995, 4606, 540, 26533, 543, 30724, 3878 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 609, 1585, 1418, 1949, 2429, 519, 1560, 267, 1519, 519, 2960, 267, 7551, 12018, 2759, 10389, 27921, 543, 1599, 780, 11854, 32496, 7282, 18383, 267, 10911, 295, 814, 1044, 3254, 547, 12954, 694, 321, 17675, 14189, 18735, 543, 9067, 14003, 267, 3056, 547, 27105, 694, 321, 636, 2504, 12544, 10689, 5658, 4183, 540, 713, 4524, 269, 5047, 267, 23280, 666, 32433, 7378, 4187, 267, 18549, 5009, 543, 4088, 10282, 543, 2417, 30740, 694, 321, 22889, 2534, 269, 9182, 267, 15398, 670, 5183, 7852, 11852, 538, 3210, 547, 5312, 2566, 610, 4160, 949, 1266, 2658, 513, 7989, 1170, 633, 1604, 20009, 547, 18383, 11144, 780, 5194, 6069, 7271, 7740, 593, 519, 6375, 558, 617, 17419, 3601, 540, 683, 2202, 696, 1938, 1765, 20791, 15202, 5946, 5950, 676, 8229, 23525, 1369, 519, 2960, 269, 25408, 267, 6219, 623, 630, 9915, 264, 543, 18287, 527, 13908, 5444, 5829, 26733, 630, 290, 294, 14641, 264, 723, 21959, 1229, 9645, 1719, 1813, 547, 741, 4390, 547, 1110, 3634, 2199, 4761, 6114, 543, 15466, 27978, 269, 7201, 3339, 6381, 267, 891, 683, 2202, 696, 1938, 7520, 10138, 7067, 267, 2587, 328, 14003, 267, 543, 17916, 12046, 282, 2705, 267, 896, 2175, 540, 13455, 5626, 11605, 267, 11506, 9501, 543, 595, 294, 14641, 9830, 949, 10511, 10028, 12982, 3157, 543, 3565, 547, 32623, 7949, 23128, 11294, 1436, 267, 1312, 540, 799, 1404, 15747, 5107, 538, 18383, 31630, 780, 13010, 267, 2487, 13753, 723, 12006, 519, 1761, 9525, 540, 19842, 2566, 538, 1199, 11868, 519, 17672, 5222, 540, 2566, 543, 4160, 593, 18383, 269, 1234, 5562, 5135, 2249, 630, 4629, 306, 1070, 6383, 2901, 1439, 4094, 3585, 3842, 24197, 10307, 610, 608, 4094, 3585, 998, 2825, 23927, 267, 4196, 607, 2629, 15202, 6675, 7533, 547, 3875, 10408, 3252, 269, 11048, 267, 29252, 681, 5308, 13250, 666, 16578, 5027, 3441, 267, 3940, 3765, 325, 13783, 267, 543, 9245, 20188, 829, 2135, 9179, 267, 15217, 1128, 580, 908, 513, 1533, 540, 19842, 19261, 26582, 538, 16221, 2068, 2829, 267, 1519, 18383, 269, 21452, 267, 12675, 4598, 547, 17173, 15128, 814, 1044, 7152, 547, 22652, 19842, 11411, 267, 5732, 7586, 4328, 18383, 10335, 998, 1463, 11118, 25570, 640, 543, 9940, 12982, 15202, 780, 11693, 519, 7347, 12205, 1063, 5626, 11605, 543, 18383, 2619, 30986, 267, 621, 3587, 10423, 602, 10128, 2618, 6139, 8427, 7459, 883, 6671, 2126, 26336, 4564, 606, 1898, 28627, 11562, 13589, 2417, 7634, 269, 11569, 267, 16861, 1239, 2303, 602, 5042, 15515, 24173, 3797, 630, 30274, 1070, 2566, 2359, 2553, 267, 543, 11009, 2861, 2853, 666, 24705, 15889, 2640, 593, 4791, 4093, 538, 2550, 3413, 21719, 609, 18383, 269, 1280, 3236, 267, 513, 19747, 6417, 4693, 5342, 676, 918, 1952, 1415, 1696, 620, 269, 7000, 602, 5216, 4374, 540, 1895, 2861, 24399, 3366, 547, 1713, 20214, 538, 18383, 10335, 543, 2518, 6454, 16863, 3379, 547, 7227, 4289, 8060, 267, 23831, 3841, 775, 547, 519, 10626, 540, 5626, 6304, 538, 5883, 713, 11342, 2960, 2783, 780, 2026, 649, 3136, 547, 4434, 938, 1702, 17640, 547, 519, 1950, 16799, 1063, 2566, 267, 4160, 267, 543, 18383, 267, 621, 3788, 14063, 602, 3782, 7426, 2226, 513, 11455, 5133, 10771, 3102, 1416, 21214, 1312, 14278, 11043, 543, 1875, 874, 29108, 11043, 4485, 269, 1635, 5807, 21769, 1063, 17172, 5505, 267, 24004, 28748, 267, 16895, 267, 543, 24027, 3782, 4648, 267, 649, 666, 11441, 2509, 17306, 3461, 19721, 5574, 3358, 547, 2232, 1367, 2115, 1247, 8195, 14344, 519, 7915, 6988, 30343, 713, 4241, 6389, 540, 14374, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 12626, 1923, 31839, 9820, 454, 29590, 5829, 2960, 2152, 454, 2691, 596, 1995, 513, 5906, 3510, 602, 1085, 4100, 596, 267, 707, 1560, 13847, 513, 15483, 18571, 540, 10399, 602, 3432, 909, 707, 2295, 2557, 543, 2014, 1082, 824, 30717, 630, 874, 9713, 264, 2589, 563, 4407, 891, 2067, 6114, 666, 581, 5363, 538, 513, 5963, 5906, 1483, 3734, 3510, 267, 950, 12178, 616, 16494, 267, 519, 4606, 540, 4250, 596, 1995, 910, 971, 607, 2566, 543, 4160, 910, 666, 11874, 1764, 707, 1134, 5630, 543, 1072, 563, 2691, 2566, 543, 4160, 1831, 1360, 7920, 610, 5312, 267, 789, 949, 723, 513, 2942, 1764, 593, 1072, 543, 1134, 5630, 267, 3226, 593, 519, 5920, 543, 519, 1072, 540, 519, 2960, 267, 607, 1134, 607, 593, 519, 1696, 11340, 987, 14003, 540, 1034, 2960, 2175, 269, 634, 6932, 2361, 540, 2618, 617, 12938, 1108, 568, 8547, 593, 519, 1523, 602, 2500, 2359, 540, 2960, 2175, 3322, 7156, 540, 519, 2404, 3929, 2188, 563, 763, 3621, 1353, 540, 7553, 543, 540, 519, 15629, 2242, 602, 13173, 519, 3309, 3929, 2833, 267, 1634, 607, 2618, 657, 11703, 3053, 328, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 10907, 928, 257, 607, 851, 540, 834, 4047, 22483, 1299, 32362, 1315, 15302, 1299, 17148, 1315, 16164, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 14675, 5071, 476, 6200, 256, 5620, 596, 2479, 14478, 513, 7260, 543, 8068, 875, 3579, 519, 3280, 2360, 941, 286, 2107, 19557, 547, 707, 5172, 5152, 543, 2219, 827, 875, 519, 7405, 32131, 865, 5863, 1927, 286, 2334, 781, 782, 7064, 547, 1945, 1572, 3280, 1374, 2439, 3383, 267, 1018, 568, 3280, 1374, 4010, 286, 4270, 267, 621, 781, 519, 1184, 540, 2870, 543, 22392, 4992, 547, 3986, 9423, 267, 2436, 621, 781, 538, 9413, 267, 7641, 2982, 267, 3381, 3756, 267, 610, 1256, 2575, 269, 898, 3322, 1210, 2027, 2645, 543, 2553, 547, 2594, 267, 12575, 267, 543, 3575, 1114, 21089, 547, 1711, 1945, 1007, 543, 2189, 780, 4131, 781, 1491, 513, 1900, 1394, 538, 942, 547, 1451, 827, 930, 2038, 23806, 538, 713, 2361, 269, 7982, 538, 519, 1554, 267, 972, 729, 513, 2780, 1572, 519, 2549, 27004, 602, 1004, 6068, 1317, 621, 1185, 1390, 2934, 585, 1818, 2575, 543, 8888, 4992, 269, 2368, 2442, 3292, 899, 6478, 8110, 2739, 267, 5548, 5060, 324, 24484, 267, 543, 700, 3430, 823, 595, 10443, 593, 891, 5904, 269, 4634, 2462, 3549, 899, 18329, 8551, 1500, 741, 4583, 3756, 593, 873, 2439, 3080, 2731, 16517, 3364, 827, 519, 2549, 27004, 729, 602, 621, 1223, 1489, 606, 1569, 800, 1572, 519, 11473, 1677, 2120, 269, 2060, 713, 1039, 6823, 267, 3755, 5828, 741, 2549, 27004, 5904, 883, 2407, 1532, 31500, 7641, 2504, 801, 3930, 256, 1358, 1223, 946, 519, 11473, 1677, 2120, 547, 9192, 3308, 2609, 609, 3280, 547, 3132, 9735, 7044, 269, 1280, 1383, 267, 789, 1522, 4670, 2576, 4730, 13176, 1247, 4946, 1187, 3280, 2360, 899, 556, 14620, 610, 16079, 547, 1118, 621, 3280, 1256, 811, 15813, 780, 3086, 12997, 267, 649, 723, 6266, 540, 4359, 2029, 547, 948, 721, 609, 3280, 1374, 269, 1809, 519, 2856, 3788, 519, 1482, 1107, 4466, 3860, 2081, 547, 3142, 2984, 547, 1272, 998, 3280, 269, 2913, 781, 2119, 938, 1688, 693, 1373, 3280, 9858, 6000, 256, 5994, 649, 1616, 547, 1711, 513, 838, 809, 344, 5790, 585, 513, 20807, 539, 2777, 6429, 269, 1284, 666, 1265, 4277, 4992, 1472, 721, 899, 1212, 21294, 9885, 267, 11397, 19711, 267, 610, 6148, 1256, 26866, 619, 269, 3973, 267, 649, 666, 1689, 1346, 4992, 676, 3432, 532, 873, 909, 267, 23646, 873, 1524, 267, 2482, 1359, 873, 1927, 267, 543, 1454, 811, 256, 1635, 3257, 713, 267, 649, 3513, 1711, 513, 669, 3739, 8301, 1995, 602, 2306, 13588, 1745, 899, 789, 616, 1318, 3330, 519, 20807, 539, 2777, 780, 1103, 3932, 267, 3280, 1374, 4249, 513, 2629, 1909, 538, 519, 7900, 6575, 267, 2523, 950, 621, 2501, 547, 8874, 269, 4635, 5499, 2409, 543, 4066, 267, 5159, 4739, 9159, 17391, 2833, 602, 4734, 9434, 24221, 593, 9458, 269, 1924, 1985, 942, 596, 4585, 513, 7260, 610, 6432, 547, 707, 5172, 19820, 267, 1589, 827, 519, 6909, 1158, 540, 3280, 1374, 3297, 621, 782, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5141, 19861, 689, 1585, 530, 5942, 3817, 454, 1607, 2376, 6257, 7607, 3301, 2854, 585, 519, 2549, 27004, 3126, 540, 5904, 267, 543, 6257, 519, 2549, 27004, 5308, 5665, 1062, 543, 922, 16755, 589, 4629, 306, 543, 5651, 874, 5308, 269, 901, 568, 519, 1292, 2376, 267, 2549, 27004, 12229, 590, 5902, 269, 6423, 849, 519, 1644, 4930, 968, 8649, 27004, 5769, 543, 18058, 12229, 5608, 968, 8649, 27004, 8535, 12229, 5608, 968, 8649, 27004, 14691, 5678, 5608, 543, 968, 8649, 27004, 8081, 543, 20904, 12229, 892, 585, 3606, 1344, 827, 3301, 4881, 593, 2549, 580, 553, 563, 763, 2549, 27004, 7620, 6462, 1134, 8153, 3301, 10643, 971, 607, 6478, 8110, 2739, 267, 18329, 8551, 685, 5548, 5060, 324, 24484, 267, 543, 700, 3430, 823, 595, 269, 2290, 540, 519, 1101, 782, 2987, 14633, 12449, 543, 3381, 11049, 15004, 267, 1715, 974, 330, 779, 11473, 1677, 2120, 267, 3323, 593, 519, 2549, 27004, 269, 634, 11473, 1677, 2120, 729, 835, 540, 519, 1906, 17960, 585, 519, 968, 15927, 4216, 892, 2549, 580, 553, 630, 1220, 271, 267, 476, 4968, 271, 267, 543, 476, 6110, 271, 264, 602, 1031, 3381, 27061, 267, 3850, 513, 3593, 547, 2490, 1010, 2549, 27004, 883, 519, 4099, 540, 606, 3003, 8613, 2504, 24194, 269, 1715, 974, 330, 779, 2663, 1840, 540, 11473, 26850, 518, 13087, 519, 1101, 1875, 31059, 642, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 895, 5071, 257, 607, 851, 540, 834, 25807, 19489, 300, 5058, 8121, 4811, 1315, 17912, 1315, 13129, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 596, 786, 3579, 3533, 563, 307, 21822, 590, 26041, 24535, 1141, 596, 616, 2469, 543, 950, 596, 2503, 547, 581, 1394, 563, 10111, 787, 513, 674, 7644, 4306, 589, 2839, 918, 3951, 1519, 513, 6668, 9126, 602, 786, 1832, 596, 3636, 538, 606, 6595, 563, 8855, 602, 949, 711, 723, 513, 5365, 538, 519, 15113, 865, 798, 711, 7048, 593, 873, 585, 1818, 3346, 610, 8905, 4466, 269, 1358, 666, 849, 3111, 538, 3665, 4411, 563, 28406, 519, 24781, 454, 32306, 1100, 10250, 540, 707, 3643, 269, 25526, 17395, 681, 308, 17668, 23360, 670, 26041, 269, 630, 3963, 711, 581, 21464, 543, 4584, 909, 824, 1004, 779, 454, 331, 7867, 543, 1491, 602, 1753, 1932, 267, 952, 596, 1294, 1022, 8094, 2710, 711, 4584, 5810, 267, 3441, 15949, 2471, 610, 6821, 267, 610, 11145, 7320, 563, 4306, 17751, 10396, 5990, 623, 26059, 543, 2057, 2144, 5317, 519, 6316, 540, 10092, 543, 14178, 873, 563, 4041, 288, 12717, 717, 2969, 2464, 6789, 9358, 674, 18853, 5990, 300, 454, 8196, 588, 3796, 543, 19235, 2864, 982, 16246, 936, 31966, 543, 6821, 865, 607, 711, 547, 2014, 3441, 563, 8855, 2110, 11912, 666, 3441, 7320, 7226, 543, 1689, 1216, 6030, 563, 291, 2177, 685, 307, 22743, 12717, 29851, 17988, 610, 11642, 563, 6826, 2015, 622, 547, 824, 1004, 454, 20124, 676, 18148, 590, 6387, 19161, 636, 593, 24296, 680, 1662, 454, 8196, 2199, 15945, 267, 14060, 543, 645, 261, 24871, 454, 6635, 337, 633, 676, 1857, 3560, 454, 8196, 519, 1286, 11614, 610, 6288, 5402, 865, 1569, 547, 10766, 1811, 543, 5397, 1811, 568, 2312, 563, 4910, 1051, 3484, 1633, 543, 13184, 269, 3367, 519, 4191, 10213, 596, 1018, 547, 798, 1472, 12418, 563, 24876, 1259, 547, 1866, 952, 513, 2619, 568, 7522, 454, 28444, 675, 602, 707, 2915, 568, 896, 2500, 1852, 3226, 1472, 1004, 267, 13184, 267, 543, 7031, 563, 16605, 707, 2915, 593, 513, 2110, 1291, 1472, 13265, 563, 29490, 9126, 543, 10822, 707, 2915, 779, 1093, 334, 16382, 596, 616, 543, 1491, 621, 1753, 269, 0, 5475, 519, 27575, 540, 519, 26315, 267, 15584, 543, 824, 22242, 540, 5840, 10841, 2105, 24398, 269, 31291, 328, 267, 543, 621, 729, 972, 789, 4718, 2696, 269, 898, 779, 2182, 547, 4952, 1018, 971, 606, 1995, 1131, 1745, 899, 2507, 572, 4370, 519, 7083, 540, 20520, 609, 1480, 4064, 563, 19853, 6609, 540, 519, 6429, 568, 7000, 538, 519, 1433, 540, 31519, 7498, 27269, 1572, 968, 1492, 6149, 540, 519, 6607, 892, 585, 922, 13085, 20842, 675, 27280, 267, 22272, 529, 22178, 25625, 814, 1279, 1044, 25343, 543, 17028, 7458, 267, 689, 3504, 12977, 547, 2413, 6377, 14446, 9858, 563, 763, 9791, 12942, 540, 519, 28202, 821, 1765, 299, 777, 529, 32303, 25625, 454, 299, 777, 529, 32303, 25625, 568, 835, 540, 519, 10475, 10007, 5018, 3875, 2053, 538, 519, 23573, 269, 1775, 2005, 568, 3769, 538, 519, 6609, 540, 2696, 781, 28202, 821, 267, 543, 267, 2687, 547, 930, 5640, 267, 568, 519, 6149, 593, 799, 2696, 5206, 519, 476, 1015, 16710, 906, 2336, 4407, 15388, 519, 10007, 267, 594, 8068, 602, 930, 16627, 5018, 968, 338, 1952, 10921, 892, 543, 930, 1866, 5018, 968, 331, 777, 529, 22178, 25625, 892, 538, 1747, 540, 968, 338, 1952, 10921, 9731, 292, 345, 2131, 1408, 476, 2764, 281, 1724, 918, 297, 309, 454, 292, 345, 2131, 1408, 476, 2764, 281, 1724, 715, 4353, 454, 2026, 594, 25653, 4514, 267, 594, 4121, 1082, 2413, 13400, 5640, 3494, 602, 519, 6426, 941, 26159, 22272, 529, 22178, 25625, 2864, 982, 1094, 653, 10921, 563, 763, 2707, 540, 519, 13065, 4667, 547, 6565, 689, 519, 16627, 540, 519, 12355, 2262, 590, 777, 597, 1373, 27235, 8655, 547, 1094, 653, 10921, 269, 1879, 693, 519, 942, 267, 590, 777, 597, 265, 729, 1031, 547, 4766, 519, 7777, 22178, 584, 924, 1262, 267, 2436, 6986, 630, 299, 1794, 584, 924, 264, 610, 14919, 630, 299, 777, 529, 32303, 25625, 1040, 1403, 596, 2671, 1250, 22906, 609, 23316, 267, 20801, 1524, 547, 519, 5377, 585, 811, 25727, 538, 519, 3723, 17084, 563, 2507, 24708, 512, 553, 17632, 593, 519, 15174, 540, 707, 23157, 267, 609, 513, 4544, 10260, 593, 1142, 512, 553, 1088, 269, 1411, 786, 723, 891, 512, 553, 17632, 547, 1413, 693, 543, 865, 596, 786, 3314, 782, 519, 12981, 540, 519, 7083, 2507, 1765, 301, 13246, 476, 1428, 281, 4343, 268, 4375, 563, 763, 6426, 568, 4904, 609, 865, 1454, 1469, 602, 621, 568, 2653, 547, 26777, 1883, 3877, 607, 649, 1224, 585, 1620, 269, 1403, 596, 2461, 899, 803, 267, 2469, 1394, 543, 556, 268, 15105, 519, 15102, 547, 5862, 513, 4605, 540, 13400, 10207, 609, 3638, 3877, 2636, 519, 6426, 547, 2097, 547, 1272, 267, 543, 666, 948, 596, 1745, 811, 4448, 547, 519, 1650, 563, 2252, 596, 1131, 899, 547, 6443, 938, 966, 7709, 1592, 585, 3776, 9540, 645, 2255, 267, 17290, 9990, 4858, 576, 2280, 540, 519, 13600, 267, 5225, 1129, 909, 693, 519, 5377, 540, 713, 5816, 2022, 563, 265, 306, 777, 597, 568, 6508, 689, 519, 5259, 2262, 590, 1952, 327, 6400, 269, 634, 3504, 16380, 543, 14564, 1031, 519, 2165, 590, 1952, 327, 6400, 968, 19990, 6149, 892, 547, 3277, 547, 519, 700, 777, 529, 32303, 25625, 6149, 269, 4438, 13400, 2053, 267, 519, 1261, 3691, 9749, 1031, 519, 2165, 590, 777, 597, 547, 4766, 22178, 584, 924, 269, 898, 7012, 1406, 2394, 519, 5664, 12698, 602, 713, 4224, 2968, 1634, 607, 22272, 529, 910, 22178, 25625, 1765, 31142, 585, 4544, 6149, 543, 6508, 689, 519, 2262, 22178, 21065, 564, 267, 519, 3504, 14655, 2262, 585, 4544, 563, 1262, 9213, 13049, 619, 15395, 2165, 22178, 584, 924, 585, 6986, 4837, 344, 12627, 543, 519, 2165, 22272, 529, 22178, 25625, 585, 32630, 14919, 4224, 563, 300, 2177, 8025, 14877, 15382, 17920, 5174, 2969, 6224, 19836, 19781, 4041, 307, 2336, 10376, 3923, 267, 649, 2811, 16089, 513, 1007, 3908, 24737, 819, 2067, 6149, 25231, 2280, 693, 513, 2027, 3902, 269, 898, 781, 2139, 1152, 1282, 602, 3923, 269, 1452, 10865, 25231, 7410, 616, 2813, 538, 513, 1360, 3908, 1297, 585, 23456, 585, 11755, 995, 1862, 23249, 11655, 543, 616, 2386, 547, 6133, 856, 2336, 13014, 2386, 547, 6443, 519, 834, 21918, 1243, 7232, 1288, 9314, 257, 7216, 16819, 5903, 547, 581, 711, 1881, 1142, 3923, 827, 519, 1985, 13600, 569, 4858, 576, 2280, 543, 1022, 14232, 7981, 11370, 903, 14727, 3326, 1987, 725, 649, 723, 269, 6178, 909, 1934, 912, 17829, 593, 519, 834, 21918, 1243, 7232, 1288, 9314, 257, 5903, 543, 938, 966, 7709, 338, 786, 581, 711, 1881, 1101, 593, 519, 3908, 24737, 819, 25231, 7410, 543, 723, 519, 4316, 547, 6718, 873, 693, 513, 2027, 3902, 1354, 789, 616, 2139, 547, 519, 2489, 1857, 269, 0, 2791, 4312, 5433, 4411, 1354, 269, 6884, 621, 781, 4411, 3544, 269, 1809, 1018, 952, 594, 5143, 596, 602, 834, 322, 1245, 257, 3884, 1405, 1483, 286, 1703, 781, 1100, 6219, 610, 7274, 1572, 834, 322, 1245, 257, 538, 2257, 269, 1284, 666, 1405, 2268, 519, 2179, 540, 834, 322, 1245, 257, 538, 1945, 269, 5502, 621, 781, 827, 1018, 781, 10691, 972, 563, 8489, 2549, 594, 286, 1772, 513, 1007, 17245, 827, 519, 1983, 649, 946, 547, 1265, 938, 1259, 1472, 269, 6787, 596, 616, 606, 27478, 25433, 267, 513, 25061, 5521, 267, 610, 1175, 2576, 856, 585, 513, 588, 2651, 267, 707, 2634, 568, 7900, 835, 540, 922, 1034, 4909, 2533, 1107, 621, 779, 10188, 269, 4208, 616, 930, 540, 721, 1434, 693, 4466, 938, 1259, 267, 1247, 1866, 616, 711, 286, 6153, 4044, 2209, 616, 2111, 547, 946, 1312, 3965, 543, 9345, 2507, 8145, 1897, 532, 1141, 789, 723, 1044, 267, 543, 31935, 1141, 789, 2461, 2469, 269, 2368, 3173, 3494, 649, 1628, 513, 5042, 610, 2790, 4786, 950, 649, 6330, 267, 513, 2186, 540, 6177, 779, 3750, 2070, 540, 938, 10450, 267, 513, 2070, 602, 666, 581, 29352, 543, 8947, 538, 938, 2247, 269, 1703, 814, 1044, 827, 24239, 1296, 540, 4661, 10838, 3744, 827, 2436, 3425, 543, 824, 11864, 2965, 1106, 891, 5042, 7851, 610, 711, 269, 634, 4417, 540, 15870, 610, 6820, 19024, 532, 7010, 814, 4957, 519, 4901, 827, 12445, 269, 15870, 12153, 513, 12863, 267, 811, 13128, 4044, 1049, 4480, 602, 1281, 711, 4125, 2679, 513, 2790, 4786, 269, 2060, 15870, 267, 649, 3274, 4431, 547, 8846, 543, 949, 711, 5963, 1174, 1141, 649, 616, 563, 288, 3140, 2272, 689, 476, 2735, 276, 540, 519, 1279, 7555, 7521, 1063, 715, 1408, 338, 645, 2129, 337, 543, 15751, 18160, 3823, 519, 14496, 540, 519, 7061, 7344, 6609, 540, 10570, 9259, 543, 8343, 540, 7061, 2829, 609, 2463, 547, 519, 10462, 6240, 543, 7061, 1303, 836, 2211, 269, 853, 18732, 930, 4583, 21575, 267, 3627, 5246, 756, 12245, 24747, 518, 267, 3627, 26791, 13852, 267, 1325, 664, 1306, 1051, 267, 6424, 645, 2129, 332, 543, 1866, 269, 21624, 1570, 827, 519, 4583, 1523, 540, 834, 8967, 809, 344, 2962, 693, 513, 3845, 257, 607, 20926, 676, 15751, 18160, 267, 606, 1383, 540, 1010, 771, 921, 5501, 693, 519, 2470, 540, 1875, 2000, 665, 1275, 607, 513, 12343, 540, 7061, 1303, 836, 2211, 799, 568, 18562, 875, 5536, 538, 519, 7122, 960, 563, 2735, 276, 3040, 8212, 454, 301, 13086, 1648, 1522, 581, 513, 8959, 4603, 269, 769, 936, 24239, 1296, 519, 2029, 814, 711, 1152, 8959, 547, 1832, 922, 9153, 540, 10464, 267, 2973, 543, 2922, 1648, 267, 621, 849, 3361, 2101, 15166, 1886, 1127, 543, 13087, 811, 6046, 9604, 1247, 519, 6046, 3653, 1966, 568, 1869, 711, 12193, 269, 0, 14483, 7459, 547, 10994, 853, 20942, 19905, 28857, 538, 2550, 609, 693, 8084, 26253, 723, 2370, 1764, 593, 2589, 267, 1759, 593, 1239, 689, 513, 3213, 577, 8735, 5623, 540, 476, 6078, 2090, 563, 31319, 22915, 3788, 513, 5458, 2068, 11411, 5001, 267, 543, 17091, 609, 590, 28857, 538, 26253, 2550, 568, 1455, 267, 855, 1100, 3044, 6304, 6818, 547, 14867, 2589, 267, 11339, 715, 663, 7236, 14465, 518, 329, 2465, 267, 11022, 267, 540, 5410, 523, 15842, 5803, 779, 11233, 267, 11062, 267, 2136, 8003, 269, 968, 4407, 15084, 2126, 540, 24802, 6654, 5563, 971, 607, 1591, 592, 4345, 568, 6225, 267, 621, 568, 711, 2312, 2436, 15084, 2126, 540, 26253, 7506, 26253, 10335, 2223, 14465, 518, 329, 2465, 4967, 563, 763, 476, 6078, 2090, 3769, 476, 11260, 274, 5171, 543, 476, 1015, 2126, 6688, 269, 4107, 540, 519, 2090, 941, 5342, 538, 6281, 1416, 7740, 538, 5375, 2342, 267, 3345, 3013, 267, 543, 519, 10787, 5101, 269, 589, 2698, 540, 476, 1321, 2090, 3769, 1453, 267, 2185, 3769, 1152, 4079, 267, 476, 866, 3769, 1453, 543, 4079, 267, 543, 538, 3670, 2090, 267, 519, 16045, 2085, 2039, 729, 15458, 269, 7324, 519, 2090, 609, 4080, 6502, 267, 519, 1611, 2085, 24132, 689, 476, 272, 269, 272, 547, 476, 4097, 269, 277, 1296, 269, 8278, 22915, 10335, 24132, 689, 7646, 547, 4049, 267, 543, 2126, 546, 15342, 24132, 689, 476, 1015, 3764, 547, 476, 274, 3275, 563, 763, 2689, 4843, 16198, 540, 22521, 32104, 270, 656, 756, 8438, 10659, 267, 5711, 11216, 267, 543, 6926, 778, 31725, 269, 769, 476, 1691, 2090, 602, 3379, 22521, 32104, 270, 656, 756, 8438, 10659, 547, 22521, 28335, 4805, 267, 2550, 4951, 5594, 3152, 2518, 6454, 538, 2589, 609, 519, 4999, 267, 855, 519, 1764, 593, 2298, 540, 1272, 729, 711, 3648, 1114, 269, 27275, 8801, 2621, 267, 1519, 27506, 540, 27150, 267, 29083, 540, 26253, 267, 543, 21155, 592, 4345, 267, 941, 4080, 676, 519, 2550, 945, 4607, 519, 4999, 543, 519, 22521, 32104, 1700, 21671, 2550, 269, 2290, 1353, 4080, 2147, 3928, 540, 15084, 4187, 538, 1453, 5701, 609, 32104, 1152, 543, 609, 606, 15084, 270, 3122, 1355, 4999, 693, 476, 274, 3275, 685, 1246, 5346, 563, 1103, 2185, 2090, 540, 5711, 11216, 267, 968, 302, 1537, 11216, 949, 1118, 1100, 3017, 538, 2474, 540, 1434, 610, 5140, 2518, 6454, 538, 12256, 543, 1453, 693, 476, 1691, 547, 476, 2764, 2395, 1246, 5346, 3379, 547, 21897, 2223, 2687, 547, 519, 2689, 269, 634, 2689, 619, 4063, 602, 972, 729, 2693, 2370, 610, 1100, 3017, 538, 2298, 540, 1272, 585, 12256, 543, 1453, 2016, 5711, 11216, 267, 4352, 789, 4063, 519, 1970, 2298, 540, 2963, 593, 713, 1888, 563, 26668, 2090, 11117, 519, 1764, 540, 6926, 778, 31725, 593, 26253, 2550, 609, 543, 1510, 590, 28857 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 610, 1332, 856, 540, 1852, 269, 9791, 25984, 13479, 630, 1097, 534, 27627, 264, 18742, 616, 519, 1034, 5906, 585, 707, 9640, 269, 4340, 547, 595, 2106, 628, 807, 717, 2532, 650, 267, 667, 30470, 267, 1912, 6185, 1421, 543, 4791, 18915, 6757, 6048, 693, 519, 2160, 540, 17996, 27259, 26616, 12524, 267, 621, 568, 7543, 547, 2995, 11617, 952, 513, 1216, 2707, 3568, 4544, 25984, 13479, 610, 19826, 27627, 269, 1703, 616, 936, 476, 273, 267, 1822, 2249, 540, 4544, 25984, 13479, 4857, 543, 693, 2547, 476, 3199, 616, 1634, 547, 3132, 13802, 602, 666, 581, 14686, 585, 9640, 543, 3425, 563, 268, 29318, 1107, 634, 1079, 1292, 4551, 547, 1449, 585, 616, 13687, 7578, 543, 661, 269, 19546, 269, 634, 16501, 4441, 616, 1447, 982, 835, 12733, 8108, 1770, 829, 476, 1911, 1984, 4106, 619, 563, 268, 21019, 1107, 4340, 547, 17996, 4982, 710, 3194, 267, 1082, 7504, 5411, 946, 7601, 23253, 610, 2472, 602, 2270, 7601, 23253, 547, 1832, 2757, 5374, 13688, 2973, 269, 901, 666, 19890, 1291, 547, 9765, 5944, 1164, 7601, 2157, 538, 519, 1216, 269, 634, 16501, 9516, 1377, 585, 7601, 538, 6704, 1216, 568, 476, 272, 269, 274, 8406, 13624, 269, 3683, 942, 267, 11506, 2157, 666, 1291, 547, 513, 2898, 3984, 540, 1072, 2152, 267, 1519, 6797, 543, 8459, 5821, 563, 13014, 17610, 898, 568, 18610, 543, 11162, 454, 3080, 540, 519, 1655, 2081, 547, 16102, 707, 7504, 779, 1216, 568, 547, 3888, 606, 13128, 530, 622, 17243, 269, 4201, 11703, 13184, 530, 622, 516, 3464, 267, 971, 607, 681, 527, 2151, 530, 622, 516, 3464, 267, 616, 513, 1883, 5057, 538, 4227, 1216, 6165, 543, 3653, 269, 4201, 11703, 530, 622, 516, 3464, 18359, 1216, 676, 3246, 1152, 607, 1454, 1216, 607, 519, 7504, 666, 4235, 693, 1022, 2016, 942, 563, 305, 527, 2151, 13128, 530, 622, 516, 3464, 5838, 2973, 267, 4195, 1216, 593, 3747, 2429, 519, 554, 1513, 4554, 540, 16374, 269, 19672, 899, 2653, 3562, 268, 30236, 535, 870, 338, 267, 16243, 5374, 512, 893, 338, 543, 3728, 1201, 650, 17901, 782, 948, 1832, 519, 6704, 1604, 2922, 543, 2635, 269, 3143, 991, 585, 10792, 6464, 602, 666, 682, 778, 883, 519, 512, 893, 267, 1175, 513, 2241, 28103, 609, 513, 11453, 593, 513, 2834, 4493, 568, 2614, 547, 1832, 707, 530, 622, 17243, 2973, 269, 4201, 11703, 530, 622, 516, 3464, 849, 1683, 18151, 6604, 676, 27200, 519, 1272, 4783, 540, 26240, 5652, 19498, 602, 666, 10141, 4639, 20407, 3644, 563, 7712, 476, 4572, 272, 267, 681, 527, 2151, 530, 622, 516, 3464, 723, 3177, 5855, 6954, 1216, 3435, 585, 7504, 5411, 2066, 3345, 3013, 269, 17214, 538, 519, 7330, 543, 20483, 676, 519, 1655, 15549, 344, 538, 519, 1870, 267, 681, 527, 2151, 530, 622, 516, 3464, 616, 519, 3501, 1259, 547, 1832, 707, 7504, 779, 1216, 3579, 267, 4195, 543, 2973, 2429, 519, 1032, 563, 2690, 811, 1344, 3643, 281, 681, 527, 2151, 24322, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8225, 267, 4643, 1115, 21275, 267, 3047, 454, 6124, 26850, 1478, 11473, 570, 1389, 1411, 593, 513, 12875, 540, 21419, 779, 8235, 16323, 454, 3383, 2130, 3683, 21419, 281, 6987, 337, 831, 14111, 8092, 540, 20463, 8225, 6611, 10837, 454, 25823, 1248, 779, 7599, 21419, 814, 519, 1152, 1634, 5277, 12647, 3564, 4541, 3047, 267, 543, 1007, 1239, 689, 519, 18706, 7236, 14361, 779, 16986, 6293, 2488, 606, 10578, 476, 274, 5937, 8038, 1478, 540, 891, 8652, 21666, 12647, 543, 15798, 693, 519, 5087, 15393, 3148, 269, 19378, 9931, 267, 18706, 7236, 9117, 16986, 2319, 1291, 267, 3177, 513, 11461, 4663, 607, 646, 4843, 519, 3381, 693, 519, 1977, 2983, 26491, 5742, 10554, 538, 5842, 12770, 267, 15663, 602, 519, 7299, 15627, 616, 27105, 4557, 19507, 543, 519, 1239, 814, 1044, 2681, 1242, 267, 1312, 585, 3308, 1198, 563, 22349, 25348, 16514, 540, 519, 4303, 454, 2710, 558, 631, 976, 269, 589, 7823, 593, 21419, 3957, 1310, 6778, 1684, 558, 538, 834, 763, 7083, 540, 519, 681, 902, 257, 1141, 31530, 4777, 30001, 519, 8258, 540, 1379, 543, 7475, 590, 4768, 517, 781, 12081, 269, 769, 1931, 547, 1294, 519, 4087, 267, 596, 991, 547, 4945, 593, 519, 3239, 543, 979, 547, 519, 3312, 3135, 269, 630, 10870, 24002, 593, 21419, 281, 476, 1691, 4113, 476, 4375, 12664, 476, 271, 16357, 590, 267, 476, 2412, 4113, 476, 1839, 12664, 476, 1321, 16357, 654, 264, 11196, 1691, 269, 4792, 4113, 267, 910, 2412, 269, 5655, 4113, 264, 3933, 320, 27213, 267, 834, 307, 11939, 910, 14136, 13355, 9855, 540, 21275, 257, 8940, 12500, 7578, 26020, 6983, 2483, 291, 3317, 902, 2311, 332, 6664, 476, 280, 267, 21275, 21419, 545, 267, 21275, 9855, 267, 21419, 545, 9855, 267, 11875, 760, 810, 573, 9855, 267, 700, 17999, 9855, 267, 4643, 1115, 590, 9855, 267, 667, 3317, 902, 22014, 1877, 476, 280, 267, 5131, 2037, 9871, 2664, 553, 454, 307, 11939, 630, 332, 3019, 264, 910, 9504, 267, 519, 1863, 22605, 454, 288, 5176, 2407, 681, 9996, 31438, 538, 519, 7943, 538, 713, 2487, 18706, 7236, 3239, 269, 681, 9996, 630, 280, 5392, 5195, 267, 610, 476, 272, 267, 276, 2767, 12919, 2066, 264, 568, 21275, 781, 2034, 4102, 7599, 269, 22175, 14099, 2938, 1934, 568, 593, 519, 21275, 1922, 5217, 21571, 540, 681, 9996, 269, 3345, 593, 681, 9996, 568, 909, 543, 29352, 476, 6246, 5232, 547, 519, 2451, 269, 634, 3239, 729, 3144, 538, 7298, 1769, 609, 519, 18706, 7236, 14361, 7522, 268, 4120, 8254, 593, 20029, 269, 476, 1015, 267, 476, 1001, 274, 563, 305, 9996, 267, 21275, 781, 2034, 4102, 7599, 269, 570, 2586, 676, 18706, 7236, 14361, 538, 7298, 1769, 593, 476, 1001, 274, 268, 6021, 268, 1015, 269, 898, 729, 827, 476, 272, 269, 277, 2929, 5998, 689, 681, 9996, 269, 630, 15862, 15894, 281, 8331, 32434, 12195, 4211, 531, 27700, 270, 22129, 3163, 4659, 264, 3933, 320, 27213, 267, 968, 305, 9996, 9855, 540, 21275, 892, 8940, 12500, 7578, 26020, 6983, 2483, 291, 23775, 590, 25352, 267, 9855, 681, 9996, 267, 18706, 7236, 6611, 8154, 267, 6611, 8154, 715, 5535, 27449, 267, 700, 17999, 9855, 267, 18706, 7236, 12005, 267, 715, 5535, 27449, 31396, 267, 21275, 267, 715, 14505, 808, 680, 2836, 27700, 1975, 659, 3163, 454, 25823, 1248, 781, 7599, 681, 9996, 454, 305, 9996, 781, 4303, 538, 519, 6129, 1315, 1234, 320, 2073, 3288, 2034, 320, 700, 10044, 829, 6264, 324, 3960, 320, 1019, 21275, 334, 267, 1799, 2602, 546, 718, 320, 521, 25352, 18706, 7236, 715, 14505, 270, 2005, 26515, 454, 288, 5176, 2407, 681, 9996, 31438, 538, 519, 7943, 538, 713, 2487, 18706, 7236, 3239, 269, 681, 9996, 630, 280, 5392, 5195, 267, 610, 476, 272, 267, 276, 2767, 12919, 2066, 264, 568, 21275, 781, 2034, 4102, 7599, 269, 22175, 14099, 2938, 1934, 568, 593, 519, 21275, 1922, 5217, 21571, 540, 681, 9996, 269, 3345, 593, 681, 9996, 568, 909, 543, 29352, 476, 6246, 5232, 547, 519, 2451, 269, 634, 3239, 729, 3144, 538, 7298, 1769, 609, 519, 18706, 7236, 14361, 7522, 268, 4120, 8254, 593, 20029, 269, 476, 1015, 267, 476, 1001, 274, 269, 1948, 22349, 25348, 1948, 25823, 1248, 454, 299, 15607, 807, 631, 732, 267, 2034, 4102, 1634, 1560, 540, 5277, 593, 21419, 269, 630, 15862, 568, 7376, 1227, 8476, 689, 8331, 781, 18706, 7236, 5692, 264, 634, 10720, 568, 4904, 609, 5277, 30691, 267, 971, 607, 2802, 2033, 543, 15655, 267, 543, 568, 835, 540, 519, 1082, 15798, 543, 12647, 602, 581, 329, 1168, 601, 21419, 781, 5087, 8701, 3148, 269, 630, 20124, 5491, 281, 8331, 32434, 12195, 4211, 531, 27700, 270, 3008, 296, 14727, 1941, 749, 264, 3933, 320, 27213, 267, 834, 307, 11939, 910, 14136, 13355, 9855, 540, 21275, 257, 8940, 12500, 7578, 26020, 6983, 2483, 301, 14505, 18706, 7236, 267, 21275, 9855, 267, 9891, 3590, 267, 18706, 7236, 6611, 8154, 267, 700, 15607, 807, 631, 732, 267, 700, 17999, 9855, 267, 18514, 28805, 267, 9855, 21419, 545, 267, 28805, 16071, 454, 3674, 972, 9170, 538, 519, 3859, 1062, 602, 649, 917, 596, 1223, 979, 585, 513, 8799, 16702, 286, 21275, 781, 688, 5414, 7599, 21419, 568, 835, 269, 634, 13792, 1158, 568, 1932, 2484, 689, 519, 3141, 547, 723, 5277, 1216, 593, 922, 2627, 269, 1809, 5210, 616, 1175, 1318, 585, 30691, 899, 15655, 543, 2802, 2033, 547, 2095, 267, 2870, 11999, 15798, 899, 713, 835, 267, 700, 15607, 807, 631, 732, 563, 288, 5277, 10720, 593, 21275, 779, 7599, 589, 7301, 12258, 528, 24463, 540, 700, 15607, 807, 631, 732, 1107, 519, 2034, 28376, 1634, 1560, 540, 5277, 593, 21275, 779, 4102, 7599, 267, 21419, 269, 898, 779, 3677, 982, 8235, 32493, 593, 3047, 563, 299, 15607, 807, 631, 732, 267, 3254, 538, 1934, 538, 1239, 5833, 676, 8331, 781, 18706, 7236, 14361, 267, 568, 519, 2034, 4102, 1634, 1560, 540, 5277, 593, 21275, 781, 7599, 21419, 19601, 310, 1600, 6611, 17421, 540, 519, 4303, 281, 700, 15607, 807, 631, 732, 454, 307, 11939, 781, 5580, 5790, 630, 11499, 2681, 1040, 3371, 15655, 6675, 616, 7745, 6306, 676, 3859, 11158, 1769, 543, 519, 676, 335, 20094, 9192, 547, 1106, 7135, 899, 2802, 2033, 543, 1035, 25485, 2940, 269, 634, 688, 2763, 4776, 5166, 6053, 1085, 520, 1562, 4544, 543, 11158, 20966, 540, 1769, 269, 13722, 538, 519, 5790, 267, 519, 688, 2763, 7140, 883, 513, 1159, 690, 540, 1950, 5214, 6675, 602, 25309, 827, 476, 3445, 260, 540, 519, 7298, 1769, 689, 519, 6129, 269, 630, 290, 13072, 281, 808, 12195, 270, 22498, 264, 3933, 320, 27213, 267, 834, 307, 11939, 910, 14136, 13355, 9855, 540, 21275, 257, 8940, 12500, 7578, 26020, 6983, 2483, 291, 3317, 902, 2311, 332, 6664, 476, 280, 267, 16592, 2311, 332, 6664, 267, 21275, 9855, 267, 21419, 545, 9855, 267, 7849, 31420, 267, 11875, 760, 810, 573, 9855, 267, 700, 17999, 9855, 267, 4643, 1115, 590, 9855, 267, 5131, 2037, 9871, 2664, 553, 454, 307, 11939, 630, 332, 3019, 264, 910, 9504, 267, 519, 1863, 22605, 454, 5575, 2518, 1283, 4919, 4786, 540, 21419, 269, 898, 729, 1500, 1210, 1239, 689, 8331, 781, 18706, 7236, 14361, 269, 12005, 5950, 2904, 476, 1428, 267, 476, 1001, 274, 269, 630, 290, 13072, 281, 8331, 32434, 12195, 4211, 531, 27700, 270, 3008, 296, 32434, 295, 308, 4338, 299, 14727, 1941, 749, 270, 2171, 714, 2006, 264, 3933, 320, 27213, 267, 834, 307, 11939, 910, 14136, 13355, 9855, 540, 21275, 257, 8940, 12500, 7578, 26020, 6983, 2483, 301, 14505, 18706, 7236, 267, 9891, 3590, 267, 21275, 9855, 267, 6820, 5440, 4919, 267, 18706, 7236, 6611, 8154, 267, 476, 274, 667, 13088, 267, 5440, 4919, 21476, 267, 28805, 21275, 267, 9855, 21419, 545, 454, 8794, 1239, 689, 7730, 2026, 18706, 7236, 14361, 267, 3744, 723, 2813, 519, 1101, 2518, 1283, 4919, 4786, 540, 590, 4405, 985, 7599, 21419, 267, 4758, 3173, 513, 476, 274, 5937, 1907, 585, 1565, 811, 827, 835, 540, 519, 1034, 3047, 3697, 543, 4277, 10600, 538, 519, 3859, 1062, 269, 12005, 5950, 2904, 476, 1428, 267, 476, 1001, 274, 269, 1962, 1315, 454, 13312, 8183, 540, 519, 4835, 2497, 540, 21419, 2687, 547, 519, 4628, 21630, 10053, 27984, 4117, 2203, 269, 630, 290, 13072, 281, 22398, 341, 1231, 784, 264, 3933, 320, 27213, 267, 834, 307, 11939, 910, 14136, 13355, 9855, 540, 21275, 257, 8940, 12500, 7578, 26020, 6983, 2483, 25823, 1248, 9855, 267, 21419, 545, 5403, 619, 341, 326, 267, 667, 1619, 334, 4117, 17738, 267, 4139, 12856, 267, 21419, 545, 30894, 267, 9855, 21419, 545, 267, 5403, 619, 590, 341, 326, 267, 5080, 21419, 545, 267, 5131, 2037, 9871, 2664, 553, 454, 288, 2203, 540, 21419, 781, 4835, 2497, 910, 9504, 267, 519, 1863, 22605, 454, 5719, 561, 262, 324, 879, 4508, 728, 1147, 21419, 2483, 15430, 775, 540, 22014, 1877, 543, 4826, 593, 21275, 9855, 21419, 30216, 1546, 4177, 4197, 593, 12472, 540, 5020, 593, 3047, 454, 17572, 281, 307, 11939, 16968, 4732, 341, 326, 910, 9504, 267, 519, 1863, 22605, 454, 290, 817, 7236, 16986, 12034, 5070, 546, 17480, 538, 2142, 2280, 593, 21275, 781, 9649, 7599, 21419, 630, 12294, 8666, 264, 602, 616, 9380, 539, 899, 21601, 756, 1014, 5070, 546, 17480, 593, 3047, 630, 21639, 8666, 1040, 634, 6505, 2934, 538, 519, 2539, 16986, 8666, 616, 711, 12269, 855, 1283, 4919, 2934, 1851, 519, 546, 17480, 269, 630, 290, 13072, 281, 8331, 32434, 17092, 910, 26627, 704, 8666, 282, 8331, 32434, 12195, 910, 2539, 8666, 264, 3933, 320, 27213, 267, 834, 307, 11939, 910, 14136, 13355, 9855, 540, 21275, 257, 8940, 12500, 7578, 26020, 6983, 2483, 299, 1077, 16071, 267, 13192, 267, 7101, 541, 16071, 267, 16592, 16071, 267, 772, 653, 704, 16071, 454, 307, 11939, 267, 12432, 3144, 1282, 18706, 7236, 8038, 2421, 476, 1220, 276, 268, 6860, 268, 1626, 267, 4114, 26305, 1018, 21419, 1131, 1413, 899, 547, 519, 1480, 3750, 281, 513, 688, 5414, 10538, 8608, 11303, 676, 513, 4557, 6681, 267, 17824, 880, 688, 2763, 269, 634, 10538, 568, 1813, 547, 8652, 21666, 5536, 1818, 909, 519, 688, 2763, 267, 799, 729, 24858, 585, 3744, 4974, 519, 8331, 30576, 4526, 5692, 2592, 538, 476, 2735, 271, 268, 10037, 269, 1809, 18706, 7236, 666, 1294, 998, 519, 688, 2763, 538, 18342, 269, 630, 290, 13072, 281, 8331, 32434, 12195, 264, 3933, 320, 27213, 267, 834, 1015, 29055, 12700, 827, 21275, 781, 7720, 976, 257, 8940, 12500, 7578, 26020, 6983, 2483, 25823, 1248, 9855, 267, 9891, 3590, 267, 7849, 27413, 267, 5274, 16685, 267, 590, 626, 9047, 9891, 267, 700, 17999, 9855, 267, 21275, 332, 3019, 267, 476, 1015, 9855, 267, 21275, 700, 17999, 454, 1015, 24262, 3025, 1058, 917, 827, 907, 865, 3579, 563, 307, 11939, 267, 21275, 781, 4102, 7599, 538, 922, 2067, 2681, 454, 3080, 540, 21275, 781, 24262, 267, 834, 307, 11939, 257, 543, 568, 849, 519, 4102, 835, 585, 519, 4541, 269, 1306, 1134, 607, 1373, 519, 4102, 7599, 547, 1022, 4541, 538, 938, 3859, 1062, 269, 2311, 2547, 693, 713, 1448, 1022, 1811, 1862, 774, 3518, 333, 841, 585, 4528, 607, 540, 476, 1724, 281, 1015, 267, 476, 1704, 5412, 476, 1220, 277, 454, 17442, 570, 20346, 586, 25315, 17505, 5067, 17485, 3331, 374, 5371, 657, 13121, 24634, 657, 679, 1714, 590, 626, 9047, 9891, 546, 27475, 26270, 826, 557, 561, 6403, 638, 18480, 865, 3691, 19448, 15988, 545, 773, 521, 6759, 331, 5866, 267, 513, 684, 4302, 679, 25315, 17505, 1100, 26270, 826, 557, 989, 7699, 521, 3626, 1558, 8457, 563, 25823, 1248, 781, 7599, 594, 777, 28127, 267, 6029, 519, 6505, 911, 4979, 21571, 269, 3487, 540, 519, 4158, 1858, 5526, 593, 519, 1318, 910, 519, 20337, 658, 25170, 568, 538, 9043, 593, 519, 1318, 18215, 269, 634, 1804, 28188, 1621, 601, 1512, 568, 2282, 519, 5377, 282, 547, 922, 2539, 1318, 568, 519, 26079, 540, 519, 14356, 21933, 3438, 730, 267, 15168, 514, 269, 630, 290, 817, 7236, 24463, 264, 3933, 320, 27213, 267, 834, 1015, 29055, 12700, 827, 21275, 781, 7720, 976, 257, 8940, 12500, 7578, 26020, 6983, 1862, 0, 30789, 1325, 633, 519, 15350, 540, 13303, 9710, 2928, 282, 21398, 10498, 11555, 26177, 306, 454, 19365, 5459, 267, 9400, 267, 10732, 22358, 630, 289, 26309, 267, 4789, 994, 2005, 568, 606, 9058, 1650, 540, 10100, 543, 27465, 538, 519, 3068, 540, 1390, 8594, 269, 1703, 568, 1945, 2523, 813, 16226, 693, 519, 1259, 1200, 32249, 27277, 543, 4998, 1143, 941 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 293, 264, 568, 519, 19618, 11439, 3196, 540, 19168, 267, 9967, 540, 519, 8136, 630, 16598, 1070, 13108, 630, 294, 301, 1070, 543, 19168, 5794, 10414, 269, 634, 2155, 6387, 2987, 16644, 3971, 540, 519, 19168, 20331, 17086, 568, 519, 5518, 540, 19168, 267, 945, 568, 849, 519, 18678, 4108, 19524, 540, 519, 27079, 15050, 5149, 630, 289, 294, 308, 1916, 1692, 1419, 941, 10120, 7980, 6976, 888, 302, 6113, 2435, 2367, 27408, 268, 15767, 941, 6976, 3368, 607, 1454, 829, 1554, 607, 519, 29843, 267, 8391, 476, 272, 338, 630, 528, 476, 1321, 323, 1040, 901, 729, 9039, 519, 1447, 513, 1164, 3232, 13230, 267, 6697, 936, 513, 1032, 547, 519, 4747, 540, 513, 1507, 15354, 10040, 563, 1692, 1705, 7980, 1205, 6976, 538, 10120, 2053, 888, 5445, 941, 6976, 676, 945, 1197, 6964, 873, 585, 519, 8653, 540, 741, 4579, 269, 1677, 3251, 3177, 585, 267, 789, 2356, 6410, 689, 4579, 547, 4579, 543, 267, 950, 891, 1223, 711, 581, 2097, 676, 267, 789, 759, 9285, 547, 32531, 663, 720, 563, 1692, 1082, 7980, 1131, 513, 16099, 723, 888, 1103, 513, 2110, 267, 2199, 5859, 630, 324, 3052, 269, 513, 27693, 610, 3540, 2112, 1070, 513, 5918, 651, 1223, 4440, 7048, 593, 513, 3196, 6697, 547, 827, 476, 2412, 1700, 2568, 260, 540, 1010, 667, 1276, 344, 781, 2551, 269, 19744, 13137, 7012, 1405, 782, 968, 30893, 2074, 538, 26124, 6186, 712, 6100, 630, 31861, 8303, 267, 22307, 4536, 10788, 1645, 543, 561, 17415, 513, 2777, 267, 476, 1724, 628, 2540, 8094, 1692, 1454, 1131, 513, 10120, 7952, 1942, 888, 2252, 596, 4941, 513, 811, 17031, 7952, 267, 609, 2161, 476, 16020, 3723, 5443, 267, 476, 4335, 818, 7129, 267, 476, 4335, 2367, 27408, 268, 15767, 543, 476, 7742, 29843, 267, 602, 3790, 1472, 476, 5197, 876, 533, 775, 267, 476, 21857, 476, 1822, 20430, 267, 610, 476, 21857, 271, 575, 829, 1554, 269, 26427, 543, 2367, 27408, 268, 15767, 616, 1360, 7199, 267, 855, 789, 616, 8036, 547, 4339, 543, 602, 1942, 949, 581, 4502, 621, 563, 1692, 1454, 1131, 513, 14500, 1942, 538, 10120, 2053, 888, 763, 1942, 540, 519, 14500, 9775, 9170, 689, 476, 6110, 547, 476, 7785, 9489, 829, 4009, 3723, 543, 789, 798, 513, 2603, 540, 8076, 960, 269, 1284, 616, 711, 1175, 6158, 827, 513, 3735, 5664, 12698, 544, 6416, 1934, 269, 634, 3735, 5664, 6502, 568, 950, 28151, 8593, 856, 540, 946, 543, 519, 3889, 941, 3710, 811, 607, 513, 32031, 585, 519, 14547, 563, 1692, 1454, 729, 513, 3138, 2378, 540, 3694, 538, 519, 5664, 12698, 888, 4913, 621, 1131, 1034, 2693, 1942, 1472, 476, 273, 268, 274, 533, 775, 829, 3138, 2378, 563, 268, 1548, 568, 2860, 4214, 2376, 888, 268, 1548, 616, 1079, 1292, 3252, 540, 5027, 888, 268, 2052, 649, 946, 1004, 781, 888, 268, 1548, 1572, 7135, 888, 268, 1548, 1281, 20153, 657, 1611, 538, 5259, 888, 268, 5808, 12985, 3206, 888, 268, 1548, 568, 21576, 2687, 547, 645, 1794, 514, 888, 268, 1215, 798, 596, 960, 856, 476, 12893, 5258, 676, 476, 276, 888, 268, 1548, 568, 519, 1884, 7716, 540, 1073, 341, 5573, 888, 268, 6904, 540, 519, 1739, 568, 711, 3020, 540, 21780, 601, 781, 960, 888, 2791, 786, 581, 5461, 454, 268, 1548, 1281, 15865, 1611, 593, 18882, 888, 268, 1548, 568, 519, 2495, 540, 519, 2262, 21482, 573, 888, 268, 1548, 568, 513, 3844, 4661, 1383, 888, 268, 9894, 596, 2479, 5873, 13357, 540, 11023, 628, 20575, 529, 10515, 2988, 770, 320, 888, 268, 6904, 2165, 6257, 519, 21800, 27808, 3350, 540, 519, 4064, 4724, 1142, 824, 28866, 888, 268, 1548, 1705, 519, 7849, 1436, 2920, 798, 888, 268, 1548, 616, 519, 1034, 1271, 3601, 540, 782, 2339, 888, 268, 1548, 568, 519, 3196, 602, 30193, 2527, 689, 2597, 888, 268, 1548, 729, 519, 1034, 1455, 1641, 540, 10120, 16712, 2575, 888, 268, 1548, 666, 513, 1599, 581, 1031, 585, 286, 0, 21581, 2626, 281, 2349, 2105, 1565, 538, 476, 274, 6113, 3446, 2979, 454, 12749, 1655, 4267, 547, 519, 2243, 16938, 1432, 476, 274, 6113, 3446, 2979, 1053, 1451, 14872, 454, 1103, 3791, 3446, 267, 707, 1126, 786, 1451, 912, 268, 18527, 543, 6498, 1369, 476, 1911, 7498, 268, 13760, 519, 2078, 1063, 8691, 543, 6498, 7498, 268, 6478, 2042, 5473, 2185, 4238, 7498, 268, 17773, 593, 513, 1297, 1899, 7498, 268, 5384, 547, 519, 8792, 7498, 268, 2480, 4705, 4446, 543, 16514, 28977, 7498, 268, 13760, 1858, 543, 15943, 563, 17829, 945, 616, 3168, 585, 606, 2626, 547, 519, 2243, 16938, 1432, 476, 274, 6113, 3446, 2979, 1053, 1451, 286, 14872, 1419, 2307, 519, 1739, 2055, 912, 6930, 492, 497, 1548, 3446, 798, 1053, 1451, 2979, 888, 268, 4569, 769, 3791, 3446, 267, 1053, 1451, 17447, 267, 8454, 267, 543, 8691, 543, 875, 547, 2268, 2597, 543, 4320, 269, 1358, 4019, 891, 1983, 547, 1483, 8996, 7653, 267, 899, 1818, 1689, 610, 1739, 519, 5528, 585, 513, 2241, 11600, 563, 268, 1548, 798, 1053, 1451, 538, 476, 276, 628, 3446, 2979, 888, 268, 1548, 798, 1053, 1451, 538, 476, 277, 628, 3446, 2979, 888, 268, 1548, 798, 1053, 1451, 538, 476, 278, 628, 3446, 2979, 888, 6930, 492, 497, 1548, 798, 476, 1321, 628, 3446, 2979, 1053, 1451, 888, 3528, 476, 1321, 628, 3446, 267, 1034, 1053, 786, 723, 6192, 10789, 594, 267, 10789, 4083, 267, 543, 16387, 267, 865, 1164, 1153, 20650, 949, 1616, 547, 1445, 593, 513, 2362, 1377, 6128, 1576, 971, 607, 2776, 20412, 639, 610, 26344, 5852, 2507, 26344, 6248, 3252, 267, 14759, 267, 543, 23483, 3252, 269, 14572, 25066, 4834, 563, 268, 1548, 798, 1053, 1451, 538, 476, 279, 628, 3446, 2979, 888, 268, 1548, 798, 1053, 1451, 538, 3446, 476, 273, 2979, 888, 268, 1548, 798, 1053, 1451, 538, 3446, 476, 276, 2979, 888, 6930, 492, 497, 1548, 798, 1053, 1451, 538, 476, 273, 526, 3446, 2979, 888, 13553, 17603, 1831, 4966, 538, 1840, 543, 12408, 267, 1373, 2111, 547, 3533, 543, 8308, 1039, 543, 10208, 835, 268, 543, 1079, 18251, 2338, 609, 18304, 909, 547, 476, 1911, 269, 1358, 2811, 849, 4397, 547, 27655, 782, 519, 18304, 540, 4946, 1079, 835, 18251, 2338, 2507, 4841, 1451, 827, 9642, 543, 1256, 2338, 676, 30010, 3688, 610, 10203, 676, 1000, 657, 563, 268, 1548, 2186, 540, 2979, 798, 1053, 1451, 538, 476, 276, 628, 3446, 888, 268, 1548, 798, 3214, 1451, 538, 2034, 3446, 2979, 888, 268, 1548, 798, 596, 1451, 538, 476, 272, 560, 3446, 2979, 888, 21581, 2626, 281, 4804, 2979, 609, 1775, 4712, 585, 476, 274, 6113, 3446, 1053, 2338, 543, 4238, 1210, 7366, 267, 9937, 1299, 3283, 454, 278, 824, 4267, 454, 274, 6113, 3446, 568, 513, 2462, 1032, 585, 1565, 2979, 256, 8866, 1451, 827, 8691, 543, 6498, 267, 4685, 883, 8454, 267, 543, 1256, 1376, 12719, 2127, 543, 829, 12281, 269, 6258, 875, 547, 1489, 707, 1126, 676, 3695, 1018, 786, 581, 8345, 538, 3791, 3446, 2979, 563, 23612, 27240, 619, 786, 3136, 547, 1293, 1315, 1039, 30779, 625, 267, 12183, 1564, 267, 546, 1307, 267, 20453, 267, 543, 13362, 12014, 269, 1358, 786, 849, 3136, 2324, 593, 519, 4569, 1523, 540, 1818, 1689, 269, 5753, 945, 917, 741, 18827, 543, 25513, 4569, 12700, 786, 267, 2949, 267, 723, 606, 4443, 942, 4946, 1315, 10203, 2724, 269, 4841, 945, 723, 606, 1620, 540, 25513, 786, 723, 4429, 9596, 3791, 3446, 2979, 2228, 585, 1863, 269, 6744, 476, 274, 6113, 6103, 4569, 10632, 543, 8342, 4569, 6096, 15099, 20308, 6657, 4804, 269, 590, 680, 1662, 9596, 568, 606, 8366, 10888, 2979, 1565, 1982, 1031, 676, 811, 982, 476, 2412, 28985, 3214, 585, 1187, 2979, 2259, 563, 1103, 3791, 3446, 267, 621, 10593, 547, 811, 7294, 3584, 281, 4359, 8691, 543, 6498, 267, 3270, 543, 1297, 2631, 267, 9511, 543, 5506, 269, 1635, 519, 1439, 540, 3791, 3446, 267, 707, 1126, 786, 723, 6591, 519, 1983, 547, 2347, 2790, 2979, 267, 960, 609, 8454, 267, 7447, 267, 4612, 11708, 543, 3589, 5506, 543, 4093, 563, 3849, 1288, 267, 12408, 267, 8691, 267, 543, 6498, 2262, 2042, 269, 476, 1724, 269, 9524, 2789, 4238, 609, 2898, 2338, 269, 476, 1691, 269, 5565, 9912, 1840, 543, 12408, 2262, 2042, 269, 476, 1428, 269, 5565, 9912, 8691, 543, 6498, 2262, 2042, 269, 476, 1626, 269, 5565, 9912, 6404, 5106, 2262, 2042, 563, 9596, 3791, 3446, 2979, 1765, 325, 10330, 267, 1858, 267, 12980, 267, 543, 865, 1454, 811, 269, 901, 1576, 568, 13988, 609, 5871, 11759, 4441, 269, 1403, 596, 2811, 7487, 713, 5048, 267, 621, 1797, 649, 2811, 2348, 8373, 15205, 5007, 2200, 593, 938, 3896, 563, 13043, 2069, 3587, 811, 6946, 538, 3791, 3446, 269, 20640, 4458, 29419, 1451, 519, 17950, 540, 8691, 543, 6498, 267, 875, 547, 960, 609, 17447, 267, 7403, 267, 1239, 7664, 267, 24275, 543, 811, 269, 4065, 2593, 779, 4804, 7732, 2488, 1585, 960, 9248, 267, 2228, 3756, 267, 3211, 543, 824, 3730, 2200, 602, 3382, 3791, 3446, 2979, 538, 2407, 563, 2171, 4312, 1688, 335, 17673, 476, 2918, 1644, 2055, 585, 596, 267, 2147, 547, 16938, 1432, 476, 274, 6113, 3446, 2979, 1053, 1451, 286, 14872, 865, 596, 666, 15983, 1265, 519, 2626, 256, 1432, 798, 596, 1451, 538, 476, 280, 628, 3446, 2979, 888, 280, 628, 3446, 2979, 2356, 6212, 593, 10789, 594, 267, 855, 666, 1331, 824, 4359, 6128, 971, 607, 16387, 267, 10789, 4083, 267, 2776, 4211, 531, 1529, 639, 610, 26344, 5852, 269, 901, 568, 519, 1032, 950, 789, 6101, 1125, 543, 8831, 741, 1620, 543, 3498, 540, 13392, 543, 12825, 3252, 607, 1134, 607, 824, 4359, 6310, 2035, 269, 2710, 554, 690, 342, 11301, 1053, 1451, 2979, 888, 763, 1053, 540, 670, 690, 342, 11301, 3427, 540, 654, 3558, 8154, 543, 654, 19123, 787, 941, 6026, 513, 3638, 543, 9867, 6437, 2507, 1809, 1346, 941, 267, 538, 513, 2631, 267, 519, 4295, 5396, 540, 670, 690, 342, 11301, 281, 519, 2296, 267, 13004, 543, 2257, 540, 519, 530, 714, 8973, 1158, 282, 519, 5049, 649, 2811, 1134, 14092, 638, 20557, 609, 998, 519, 9035, 540, 16452, 25260, 32289, 1053, 1655, 1451, 2979, 888, 10743, 1451, 2979, 1655, 950, 789, 1935, 519, 1641, 607, 1945, 789, 2972, 2507, 2755, 1382, 2982, 602, 1702, 540, 2979, 5013, 568, 1271, 267, 4425, 29993, 1767, 519, 1655, 1259, 585, 1053, 547, 917, 2979, 5013, 568, 676, 1210, 873, 5781, 543, 3384, 1620, 540, 10230, 1894, 23130, 1058, 513, 2875, 1451, 538, 476, 279, 628, 3446, 2979, 888, 763, 2101, 2979, 22204, 585, 476, 279, 628, 3446, 6437, 616, 1297, 2631, 543, 4238, 267, 7223, 267, 9511, 543, 8901, 2631, 267, 6482, 267, 543, 1239, 2079, 543, 5506, 2507, 14572, 1483, 1158, 2042, 609, 7787, 2338, 630, 10175, 9981, 267, 17447, 543, 8454, 1040, 1432, 3446, 798, 1053, 1451, 4834, 888, 22091, 11306, 1299, 12307, 563, 22923, 781, 6788, 7914, 7494, 538, 476, 278, 628, 543, 476, 279, 628, 3446, 950, 1565, 827, 7215, 543, 4834, 269, 1358, 2253, 547, 946, 4632, 543, 4194, 3818, 9912, 1483, 8996, 2042, 563, 21581, 2626, 281, 476, 274, 6113, 3446, 2979, 476, 271, 5655, 24798, 1432, 3446, 798, 1053, 1451, 8454, 888, 294, 10232, 476, 272, 543, 476, 273, 281, 634, 2596, 1523, 540, 8454, 568, 5189, 267, 609, 1806, 899, 5969, 513, 14735, 883, 3160, 2694, 269, 6103, 476, 274, 281, 634, 3450, 540, 8454, 3587, 811, 6101, 269, 8866, 1451, 827, 6746, 2209, 543, 32159, 269, 6103, 476, 275, 281, 8866, 1376, 547, 960, 609, 543, 5635, 8454, 1547, 1432, 3446, 798, 1053, 1451, 9511, 888, 1103, 1250, 1153, 267, 3339, 1053, 1491, 621, 20153, 558, 648, 1032, 630, 16149, 1032, 540, 1164, 1153, 264, 8259, 596, 3576, 4359, 10774, 662, 26549, 5049, 538, 1647, 1153, 799, 4847, 596, 547, 1491, 621, 4195, 2006, 1032, 269, 901, 568, 1317, 630, 520, 2547, 538, 1250, 1153, 264, 596, 2461, 2838, 547, 1491, 10789, 476, 272, 1354, 2921, 16387, 269, 476, 275, 3445, 5784, 563, 21581, 2626, 281, 11621, 2861, 1565, 538, 476, 274, 6113, 3446, 2979, 1432, 3446, 798, 1053, 1451, 533, 655, 323, 553, 888, 4263, 519, 1034, 2596, 1377, 267, 1453, 538, 8772, 3446, 786, 1451, 2338, 267, 519, 1931, 540, 4238, 630, 303, 4932, 291, 3008, 264, 799, 568, 6026, 676, 1034, 607, 7490, 19196, 2224, 3733, 31351, 589, 2863, 590, 826, 267, 621, 568, 606, 2653, 1259, 585, 519, 1453, 547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 535, 11921, 568, 4503, 610, 711, 269, 7053, 267, 519, 5386, 6575, 666, 581, 11368, 998, 513, 3992, 593, 1210, 10344, 547, 2995, 513, 1650, 563, 8448, 6176, 281, 901, 1433, 814, 4465, 12964, 17758, 1519, 519, 631, 1682, 685, 14893, 13815, 269, 0, 307, 1901, 8862, 768, 267, 610, 19248, 29646, 267, 568, 835, 540, 519, 1034, 8731, 13586, 17494, 267, 9960, 538, 519, 6367, 1564, 540, 519, 2539, 2831, 267, 607, 1134, 607, 540, 18495, 267, 543, 9967, 540, 1896, 2249, 267, 12077, 282, 519, 11439, 543, 796, 28534, 6902, 519, 1279, 543, 2110, 29438, 5523, 267, 610, 3376, 11746, 2914, 768, 6902, 855, 602, 1034, 4749, 9648, 538, 6628, 267, 568, 519, 1151, 1756, 267, 799, 7575, 827, 267, 543, 814, 513, 2834, 5180, 2212, 267, 23401, 513, 25449, 269, 898, 568, 689, 835, 267, 547, 8938, 18126, 543, 20733, 538, 3259, 2433, 519, 1560, 568, 7768, 540, 513, 1297, 540, 13994, 4327, 14034, 267, 610, 10549, 267, 676, 799, 621, 1140, 2851, 3294, 547, 519, 17011, 540, 519, 24026, 563, 763, 2589, 676, 799, 519, 840, 1606, 775, 540, 713, 13442, 949, 581, 23754, 539, 267, 616, 1346, 540, 17494, 538, 2489, 267, 971, 607, 15353, 282, 966, 558, 1746, 282, 575, 1342, 1465, 282, 30724, 3878, 6902, 897, 545, 282, 543, 6366, 18834, 281, 519, 3461, 7959, 513, 2604, 538, 1978, 2694, 540, 519, 17737, 282, 799, 267, 593, 13346, 922, 1747, 267, 6140, 7472, 513, 669, 3739, 14815, 538, 519, 2539, 17987, 267, 610, 538, 519, 454, 288, 811, 1978, 267, 543, 8197, 519, 1152, 21205, 568, 267, 519, 1163, 13955, 540, 835, 610, 811, 4773, 540, 519, 21431, 3294, 563, 290, 675, 281, 910, 1323, 9058, 1297, 540, 14319, 723, 1044, 10931, 3766, 6479, 267, 543, 6836, 267, 609, 1585, 1967, 2433, 6862, 666, 971, 4763, 540, 2360, 2408, 1147, 3064, 4506, 267, 952, 519, 7411, 540, 1163, 2454, 519, 11746, 11988, 581, 2808, 282, 607, 267, 538, 519, 3801, 267, 13980, 616, 4749, 7745, 1055, 543, 26809, 2433, 7186, 2348, 1439, 15735, 713, 20599, 609, 513, 1379, 540, 20344, 267, 621, 4166, 4203, 2231, 922, 5449, 2450, 267, 543, 2300, 2572, 519, 1482, 24360, 20517, 269, 1284, 4927, 267, 4061, 267, 1533, 1152, 1346, 14319, 799, 2408, 547, 581, 519, 1034, 3759, 20160, 563, 272, 269, 634, 1739, 9976, 1808, 540, 8496, 269, 715, 537, 742, 518, 267, 729, 12349, 267, 543, 3370, 267, 676, 519, 3751, 540, 5333, 2433, 910, 2201, 519, 1554, 3105, 547, 2921, 519, 1808, 267, 519, 3461, 568, 547, 31831, 689, 1426, 1310, 12129, 267, 11489, 827, 476, 278, 610, 476, 279, 522, 262, 22018, 538, 519, 10543, 267, 950, 513, 3443, 3385, 1058, 581, 5423, 267, 540, 513, 533, 842, 543, 513, 3368, 540, 1216, 267, 476, 273, 610, 476, 274, 12063, 269, 540, 1434, 4195, 7423, 267, 543, 476, 273, 12063, 269, 540, 3694, 267, 2759, 883, 6094, 21100, 6902, 4946, 513, 6190, 6712, 540, 6070, 281, 538, 713, 1533, 267, 621, 568, 547, 581, 13881, 2433, 16172, 1310, 267, 513, 536, 4593, 3726, 543, 513, 4837, 540, 3043, 2914, 710, 616, 547, 581, 15179, 539, 269, 2201, 519, 8011, 532, 6640, 267, 646, 11129, 547, 1491, 689, 476, 273, 547, 476, 274, 1951, 916, 540, 519, 3597, 540, 519, 5256, 22513, 630, 21691, 2988, 18754, 2083, 1460, 11792, 267, 700, 4700, 6394, 538, 15489, 267, 543, 29656, 5102, 591, 1242, 282, 6986, 1216, 610, 7401, 949, 4196, 607, 513, 6174, 269, 1403, 519, 4915, 8317, 15353, 267, 1022, 23599, 949, 581, 1750, 14954, 267, 855, 1510, 24948, 621, 282, 610, 267, 2178, 16693, 949, 581, 31067, 267, 538, 1931, 547, 2638, 519, 19210, 282, 855, 952, 267, 711, 5976, 9227, 891, 14365, 2293, 267, 519, 8869, 581, 15653, 267, 519, 9570, 568, 547, 581, 7368, 267, 543, 519, 3461, 1058, 14365, 712, 547, 1964, 267, 607, 4166, 607, 519, 19210, 7449, 1938, 269, 6168, 1079, 3108, 1310, 267, 835, 3368, 540, 519, 1739, 7041, 1058, 581, 2016, 267, 12077, 2433, 22358, 267, 27552, 2053, 1016, 3916, 539, 630, 5632, 558, 601, 786, 2626, 519, 1482, 3483, 5148, 543, 2824, 18300, 540, 1085, 2459, 3415, 267, 4557, 9274, 1142, 6902, 4195, 13708, 2692, 613, 267, 476, 277, 610, 476, 278, 9274, 2433, 2569, 519, 2898, 883, 513, 5386, 8869, 267, 543, 1106, 621, 883, 1079, 10240, 4926, 267, 676, 1797, 540, 513, 18359, 2433, 891, 616, 547, 581, 3144, 693, 1079, 1114, 2053, 269, 4438, 519, 5106, 267, 607, 1134, 607, 1310, 28720, 1142, 10240, 639, 267, 4617, 7401, 1058, 581, 4847, 538, 2941, 1190, 1951, 7676, 1206, 269, 1879, 519, 21431, 568, 30461, 267, 513, 1666, 517, 540, 26185, 267, 543, 519, 22232, 2732, 267, 949, 1586, 581, 759, 9285, 547, 269, 1403, 267, 875, 324, 557, 328, 267, 519, 13442, 1058, 581, 26809, 5892, 547, 1210, 519, 2034, 9570, 267, 1152, 519, 3152, 3368, 540, 621, 267, 610, 267, 513, 6712, 540, 661, 1186, 558, 6070, 267, 568, 547, 581, 13950, 563, 273, 269, 634, 1505, 540, 8876, 1055, 519, 11746, 2914, 768, 267, 5227, 676, 4173, 27231, 577, 342, 663, 339, 267, 568, 607, 5205, 281, 634, 3461, 1590, 15179, 835, 5559, 540, 519, 5256, 535, 1716, 1079, 20422, 544, 1941, 902, 267, 1354, 14254, 282, 543, 267, 538, 519, 10543, 267, 1079, 3108, 1310, 513, 1769, 1139, 518, 269, 2201, 519, 3791, 6640, 267, 519, 1739, 8869, 568, 11338, 547, 581, 3144, 1354, 14254, 267, 543, 4553, 676, 1804, 1494, 687, 540, 4617, 7401, 2433, 6875, 540, 29881, 13708, 2692, 613, 267, 476, 1321, 9274, 282, 6070, 540, 21431, 6229, 476, 736, 9274, 267, 543, 10060, 4486, 781, 12853, 630, 320, 5888, 540, 30341, 3282, 543, 6378, 10448, 12659, 8932, 264, 476, 273, 9274, 282, 519, 2898, 547, 581, 5918, 569, 11368, 281, 1614, 3108, 1310, 267, 476, 272, 12063, 269, 540, 5641, 528, 268, 11798, 568, 547, 581, 15179, 539, 538, 513, 7484, 540, 14132, 14482, 320, 267, 543, 7368, 2899, 610, 7466, 693, 2147, 11996, 269, 1403, 519, 21431, 581, 1869, 17477, 267, 513, 524, 569, 3122, 267, 9967, 540, 3160, 2694, 540, 5144, 543, 1216, 267, 609, 476, 274, 12063, 269, 540, 5641, 528, 268, 11798, 267, 1590, 581, 22280, 538, 519, 10543, 267, 799, 568, 3622, 11327, 540, 519, 5551, 1198, 563, 274, 269, 634, 2063, 540, 891, 25727, 630, 553, 789, 616, 642, 664, 569, 18908, 1194, 1070, 568, 602, 799, 4569, 24586, 267, 606, 3284, 6139, 322, 776, 540, 12670, 267, 25015, 7682, 539, 547, 723, 4362, 6902, 543, 585, 799, 519, 1459, 3751, 540, 2398, 17892, 4378, 10696, 1864, 609, 513, 2140, 267, 543, 27404, 585, 1272, 2433, 519, 1739, 616, 922, 5820, 2433, 6875, 2083, 902, 540, 6986, 17646, 267, 476, 272, 12063, 5919, 32314, 5256, 535, 1716, 267, 476, 271, 1951, 916, 6902, 21431, 5498, 539, 267, 476, 272, 270, 273, 12063, 5919, 32314, 3597, 540, 795, 531, 777, 267, 543, 4874, 577, 6135, 6070, 630, 10903, 26369, 2000, 730, 737, 8932, 1070, 540, 1142, 476, 272, 270, 273, 12063, 5919, 519, 2898, 547, 581, 5265, 6404, 609, 513, 6190, 7274, 540, 9932, 267, 865, 607, 547, 1106, 606, 1528, 4231, 267, 799, 949, 581, 6825, 3143, 269, 476, 272, 269, 674, 691, 615, 267, 1491, 32314, 3597, 540, 795, 531, 777, 267, 4874, 577, 6135, 6070, 267, 540, 1142, 476, 273, 1085, 745, 1255, 282, 1085, 2459, 3415, 630, 1993, 22176, 653, 334, 1070, 476, 272, 1085, 745, 921, 282, 13708, 2692, 613, 267, 476, 1015, 9274, 2433, 891, 4930, 616, 849, 547, 581, 4646, 883, 606, 1528, 4231, 609, 9932, 267, 543, 547, 581, 7074, 3143, 269, 476, 273, 269, 634, 3461, 1058, 267, 585, 1896, 2395, 3105, 547, 519, 946, 540, 713, 16185, 267, 7747, 513, 1360, 9793, 2732, 267, 9967, 540, 3443, 3385, 267, 543, 1769, 10448, 1426, 282, 855, 646, 11129, 2523, 547, 946, 2892, 1540, 14074, 267, 971, 607, 1200, 337, 902, 267, 3092, 269, 2991, 891, 4549, 2218, 3800, 267, 513, 7401, 17898, 3019, 995, 540, 519, 1528, 4231, 267, 3143, 269, 476, 272, 267, 568, 547, 581, 3144, 1169, 1079, 3108, 267, 585, 1079, 610, 1614, 2395, 267, 2394, 513, 14815, 540, 519, 21431, 581, 5433, 538, 519, 24026, 282, 950, 835, 7401, 17898, 3019, 995, 540, 519, 1528, 4231, 267, 3143, 269, 476, 273, 267, 568, 547, 581, 2016, 1169, 1079, 3108, 267, 11489, 519, 13442, 581, 26809, 269, 9701, 621, 267, 2705, 267, 3111, 540, 1967, 267, 476, 273, 610, 476, 274, 3349, 17898, 3019, 995, 338, 540, 4195, 5641, 528, 268, 11798, 616, 547, 581, 3144, 676, 519, 5023, 267, 610, 513, 524, 569, 3122, 267, 9967, 30109, 540, 713, 3282, 267, 11129, 547, 581, 13950, 269, 634, 733, 18182, 540, 713, 1505, 929, 644, 1836, 32625, 267, 602, 519, 946, 540, 971, 3742, 11955, 267, 1058, 581, 9859, 676, 513, 1236, 559, 995, 10629, 267, 593, 2272, 540, 519, 1570, 3017, 538, 519, 3023, 267, 2085, 267, 543, 11156, 540, 2043, 269, 1261, 20991, 24616, 267, 602, 607, 519, 12117, 540, 519, 16185, 267, 476, 272, 267, 7494, 5673, 593, 519, 2298, 540, 519, 5256, 535, 1716, 282, 1416, 1058, 581, 3144, 267, 602, 519, 3597, 540, 519, 12443, 1790, 18754, 2083, 1460, 11792, 267, 543, 711, 540, 513, 838, 21874, 3099, 267, 581, 5697, 585, 519, 3483, 282, 543, 602, 1256, 540, 519, 9758, 3597, 267, 1152, 519, 1199, 1638, 776, 851, 568, 547, 581, 5102, 591, 1242, 2433, 538, 713, 1533, 267, 621, 17648, 513, 26070, 7990, 563, 4002, 17265, 891, 1630, 16556, 556, 2173, 12203, 267, 621, 3587, 10423, 602, 741, 9030, 12117, 568, 6508, 689, 519, 5256, 535, 1716, 267, 5265, 5916, 609, 27290, 1625, 326, 520, 2231, 282, 1498, 621, 3112, 581, 17792, 267, 602, 519, 25581, 5820, 723, 267, 538, 547, 1889, 21431, 2275, 1162, 267, 9863, 8449, 3811, 269, 1809, 782, 1346, 5061, 2348, 1044, 1634, 547, 519, 2564, 1158, 585, 5553, 267, 621, 568, 547, 721, 513, 2339, 540, 1147, 3064, 2763, 267, 602, 513, 812, 267, 899, 4569, 24586, 267, 1058, 723, 519, 2498, 1258, 6670, 547, 2709, 713, 12440, 540, 2357, 332, 604, 1872, 525, 607, 1919, 540, 1010, 1378, 8798, 267, 543, 3489, 689, 519, 10424, 1688, 267, 513, 575, 2830, 31444, 331, 267, 585, 799, 1866, 723, 585, 2250, 6502, 267, 547, 6150, 538, 642, 664, 8206, 715, 599, 267, 649, 616, 5483, 602, 267, 538, 513, 1880, 2013, 267, 1010, 5910, 2105, 1808, 814, 849, 8959, 269, 910, 2372, 871, 2044, 3788, 519, 1482, 267, 2436, 4988, 609, 25918, 1229, 25243, 267, 610, 609, 986, 7714, 563, 25821, 640, 814, 267, 11338, 267, 1044, 5227, 585, 519, 8851, 540, 713, 13542, 727, 9468, 656, 540, 519, 1480, 1560, 267, 2523, 1310, 2921, 513, 1490, 7416, 561, 1314, 894, 538, 519, 6640, 269, 910, 4284, 5974, 593, 519, 2552, 5799, 723, 6376, 539, 267, 602, 538, 7606, 945, 1185, 13881, 513, 1139, 518, 540, 22229, 267, 519, 11746, 2914, 768, 1223, 581, 14360, 547, 1114, 2694, 540, 519, 17737, 267, 676, 1797, 540, 3167, 31168, 6537, 689, 513, 11308, 1448, 267, 543, 5402, 9859, 547, 519, 1560, 267, 865, 602, 621, 1223, 19952, 581, 3362, 30461, 563, 15563, 267, 972, 568, 1776, 3759, 20160, 1505, 540, 608, 32558, 908, 713, 21431, 6902, 543, 799, 814, 4749, 1044, 13984, 609, 519, 5551, 1198, 269, 8422, 610, 2185, 2395, 267, 7173, 328, 268, 3585, 547, 519, 946, 540, 6679, 11955, 267, 689, 835, 547, 1614, 7401, 17898, 3019, 995, 338, 540, 513, 3070, 540, 25188, 541, 1242, 17059, 3415, 630, 273, 9274, 538, 476, 275, 12063, 269, 540, 1216, 1070, 568, 547, 581, 3144, 1614, 2053, 513, 6377, 1547, 593, 519, 8772, 1554, 267, 513, 1625, 3101, 8869, 267, 7768, 540, 1608, 558, 601, 543, 795, 531, 777, 267, 689, 476, 274, 547, 476, 277, 9274, 1142, 267, 9935, 607, 519, 3461, 568, 6410, 609, 3152, 610, 1447, 7411, 267, 1590, 581, 13950, 1354, 14254, 6902, 855, 646, 1058, 14365, 712, 547, 2638, 13481, 269, 769, 2013, 713, 9570, 6961, 711, 18481, 3532, 267, 922, 5106, 949, 581, 15469, 676, 519, 4835, 946, 543, 5007, 3498, 540, 5641, 528, 268, 11798, 269, 4438, 519, 8574, 540, 519, 21431, 267, 1416, 1590, 581, 3144, 711, 547, 14443, 922, 3356, 6902, 607, 621, 814, 1044, 4767, 267, 593, 519, 2547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1692, 3509, 20242, 1206, 6496, 589, 6129, 20175, 19937, 21277, 576, 454, 6701, 596, 13110, 540, 9878, 8101, 5201, 3790, 3923, 1310, 3923, 286, 24613, 3859, 568, 707, 1655, 914, 585, 2462, 9806, 267, 543, 1631, 267, 7064, 547, 6129, 20175, 267, 621, 568, 14949, 543, 12863, 982, 2479, 1354, 563, 1607, 568, 1018, 596, 786, 1265, 856, 912, 26422, 20175, 568, 606, 1977, 1648, 1870, 3964, 676, 9400, 4210, 753, 517, 1299, 9400, 595, 8735, 538, 476, 2735, 276, 269, 898, 3459, 607, 661, 5308, 11272, 5295, 269, 769, 476, 2735, 279, 621, 729, 882, 629, 8215, 6129, 20175, 269, 769, 476, 1960, 271, 519, 2754, 4607, 2724, 532, 547, 1376, 5663, 3859, 9075, 269, 769, 476, 1960, 273, 3323, 11288, 873, 547, 5561, 563, 1432, 1772, 6129, 20175, 888, 26422, 20175, 568, 1634, 547, 2511, 267, 5478, 267, 543, 1683, 513, 5318, 5044, 540, 1164, 26024, 3859, 3167, 1949, 2429, 519, 7330, 267, 585, 6469, 543, 1870, 3252, 563, 2005, 568, 11338, 26656, 547, 1448, 856, 602, 8331, 11338, 814, 2965, 1031, 6129, 20175, 779, 4359, 1591, 2029, 585, 741, 1858, 3292, 563, 4913, 8331, 568, 711, 519, 1152, 835, 945, 814, 11967, 6129, 20175, 3688, 269, 9891, 6764, 592, 572, 476, 273, 267, 513, 4642, 1922, 3241, 7077, 267, 1305, 513, 1158, 2594, 585, 4742, 519, 1101, 3859, 7077, 547, 8038, 1472, 519, 8608, 267, 849, 18252, 6129, 20175, 3859, 2281, 563, 2467, 616, 6266, 540, 2013, 2090, 856, 972, 9001, 6129, 20175, 2472, 267, 689, 2777, 5411, 267, 6990, 267, 543, 3506, 267, 25137, 6634, 3230, 538, 519, 1184, 540, 2469, 3859, 563, 26422, 20175, 814, 2965, 5063, 6074, 547, 6460, 922, 5663, 6498, 883, 513, 6216, 20642, 1870, 1572, 7665, 324, 517, 9891, 267, 1247, 6129, 20175, 786, 1445, 4481, 593, 519, 7082, 543, 3028, 2427, 267, 16459, 25675, 8440, 563, 763, 8257, 3459, 609, 513, 1269, 29218, 2929, 2883, 5092, 676, 6129, 20175, 779, 7649, 543, 519, 1158, 779, 3056, 18261, 540, 13339, 530, 2378, 619, 267, 570, 1014, 329, 514, 11809, 517, 724, 10224, 590, 2438, 13503, 528, 3213, 269, 630, 307, 313, 306, 1916, 3963, 634, 20520, 2986, 7665, 324, 517, 9891, 888, 763, 6662, 568, 547, 3986, 519, 4295, 4238, 540, 519, 1079, 3549, 1510, 16471, 873, 269, 968, 1607, 11834, 786, 849, 14458, 1312, 10721, 3889, 267, 4227, 3790, 267, 1247, 5355, 4398, 543, 2870, 811, 26227, 4213, 2223, 6129, 20175, 16628, 8751, 654, 518, 1676, 7150, 1282, 513, 5437, 476, 1556, 7658, 935, 12401, 563, 16655, 324, 517, 9891, 786, 6023, 2504, 543, 6639, 5647, 267, 4758, 6129, 20175, 519, 12588, 547, 1445, 14311, 593, 9750, 922, 2344, 2671, 1996, 922, 30347, 267, 971, 607, 8225, 9891, 563, 293, 30480, 634, 9046, 2986, 9891, 6052, 29283, 454, 26422, 20175, 568, 15548, 538, 519, 2504, 543, 9042, 540, 3859, 8440, 267, 543, 789, 2709, 513, 2647, 2039, 540, 1587, 5079, 563, 23530, 8440, 616, 4244, 2959, 540, 1648, 269, 1358, 616, 16922, 540, 3859, 2281, 602, 2981, 24106, 630, 663, 711, 1152, 1769, 264, 883, 5122, 1379, 563, 288, 2698, 1305, 9967, 540, 25675, 8440, 267, 27196, 267, 9075, 267, 543, 12679, 1562, 568, 1572, 513, 9891, 5295, 7233, 269, 2353, 713, 666, 581, 11751, 689, 519, 1870, 563, 12234, 267, 789, 2285, 513, 10018, 585, 476, 1839, 1296, 267, 7429, 1866, 945, 1683, 1152, 476, 1015, 1296, 269, 19452, 267, 950, 9140, 689, 873, 267, 789, 786, 3142, 543, 1305, 909, 9075, 543, 8726, 596, 2154, 1863, 540, 5279, 563, 1692, 3509, 20242, 1206, 6496, 589, 6129, 20175, 19937, 21277, 576, 454, 303, 20094, 2334, 6129, 20175, 5510, 619, 454, 26422, 20175, 3302, 999, 1896, 3688, 267, 782, 1644, 547, 3859, 1648, 267, 899, 3859, 8440, 267, 2698, 1949, 267, 3859, 2281, 267, 2698, 8122, 10784, 1122, 3603, 3859, 1949, 267, 543, 3859, 6007, 4859, 563, 4131, 779, 2007, 538, 6693, 26422, 20175, 9891, 7754, 1564, 454, 26422, 20175, 2488, 476, 275, 3126, 540, 25675, 8440, 269, 1358, 616, 20979, 585, 1585, 3156, 912, 2710, 596, 6999, 547, 11126, 707, 10715, 9806, 286, 3973, 6129, 20175, 589, 4149, 7685, 8440, 568, 585, 596, 269, 589, 4149, 7685, 2488, 519, 1034, 2500, 1591, 543, 6574, 26910, 720, 8440, 596, 666, 2322, 593, 707, 8122, 563, 26422, 20175, 5189, 519, 1158, 779, 1360, 1101, 476, 6110, 2914, 3430, 25675, 8470, 267, 799, 6920, 596, 666, 723, 811, 1379, 982, 2479, 1354, 538, 513, 1507, 2230, 609, 1447, 8440, 593, 707, 32072, 563, 26422, 20175, 2473, 4149, 7685, 25675, 8440, 1683, 476, 4510, 260, 811, 1379, 829, 8470, 267, 4611, 811, 1379, 538, 4130, 5624, 267, 609, 1447, 8440, 269, 901, 1259, 596, 666, 4228, 1648, 2504, 3274, 676, 9001, 3606, 32072, 1858, 547, 1039, 811, 8440, 2663, 952, 596, 7287, 563, 5445, 849, 5838, 519, 6574, 7145, 2139, 538, 513, 3959, 3859, 8470, 2221, 267, 693, 513, 2594, 31771, 476, 2420, 269, 279, 18336, 6546, 5267, 2777, 5411, 1205, 811, 5122, 1379, 267, 811, 8112, 267, 811, 22059, 267, 543, 2539, 5122, 1648, 3790, 563, 26422, 20175, 661, 4149, 7685, 5838, 476, 3607, 260, 811, 1379, 829, 8470, 982, 3044, 8440, 269, 15439, 2322, 267, 789, 2981, 811, 7943, 883, 5201, 454, 292, 4149, 7685, 616, 3710, 609, 7665, 324, 517, 3859, 2281, 267, 12419, 909, 547, 476, 736, 260, 4398, 543, 666, 581, 1336, 538, 476, 17168, 310, 267, 476, 27628, 310, 267, 610, 476, 31973, 310, 5079, 563, 26422, 20175, 623, 4149, 7685, 616, 9112, 609, 606, 19782, 1190, 695, 532, 1194, 1374, 3859, 2281, 602, 4991, 7759, 540, 513, 1297, 540, 519, 10727, 7965, 540, 6671, 4395, 3346, 8440, 563, 303, 4149, 7685, 8440, 1683, 476, 278, 260, 3152, 8470, 2773, 543, 909, 547, 476, 866, 4939, 3467, 1648, 936, 519, 1101, 476, 1839, 1296, 540, 5106, 563, 3719, 602, 568, 711, 782, 281, 6129, 20175, 13437, 10022, 263, 623, 4149, 7685, 264, 8440, 941, 3957, 607, 513, 1283, 1685, 518, 538, 782, 1346, 476, 276, 4096, 1464, 4255, 5645, 856, 676, 667, 301, 309, 23834, 267, 519, 1158, 779, 4102, 4199, 540, 4830, 1648, 4648, 543, 20774, 2787, 1560, 269, 8409, 4255, 2874, 540, 912, 26794, 2986, 6129, 20175, 9891, 7754, 1564, 454, 2467, 616, 3875, 5383, 540, 2469, 3859, 676, 9001, 6129, 20175, 2472, 912, 26422, 20175, 814, 2965, 7283, 538, 3859, 1648, 2754, 585, 811, 982, 476, 3374, 1296, 269, 634, 1870, 729, 8547, 538, 476, 2735, 276, 269, 17451, 2094, 267, 6129, 20175, 814, 1044, 17975, 3859, 8440, 585, 6469, 543, 4853, 2344, 269, 769, 713, 2872, 543, 1082, 1866, 267, 972, 616, 6266, 540, 1870, 602, 979, 543, 2097, 563, 10303, 519, 2883, 5092, 538, 25675, 8440, 568, 1713, 267, 596, 1454, 1732, 3972, 593, 513, 2754, 602, 814, 3254, 547, 581, 1934, 585, 1082, 1296, 563, 3080, 540, 519, 1034, 1898, 2188, 538, 10916, 3859, 1379, 568, 519, 7145, 6060, 540, 513, 8470, 269, 3502, 782, 25675, 8440, 616, 519, 1482, 269, 589, 2362, 7145, 20823, 6920, 7864, 8440, 547, 7001, 519, 1360, 1482, 7274, 540, 1648, 563, 26422, 20175, 3091, 606, 2872, 3056, 476, 2420, 269, 279, 260, 4398, 20823, 267, 799, 568, 5111, 476, 2568, 268, 3583, 260, 2362, 982, 519, 15712, 563, 23530, 8440, 616, 513, 9645, 5092, 585, 1312, 267, 2777, 5411, 543, 5010, 3906, 269, 1924, 267, 789, 991, 547, 1174, 602, 789, 786, 2063, 269, 6129, 20175, 8440, 856, 3333, 1441, 30347, 538, 4096, 1464, 267, 1648, 2504, 267, 12159, 3928, 267, 543, 27864, 1198, 563, 26422, 20175, 8440, 616, 9112, 609, 14463, 6227, 547, 9004, 11158, 21324, 267, 7601, 13210, 585, 3063, 4222, 267, 543, 789, 1683, 513, 2582, 476, 1839, 4458, 10018, 602, 6227, 519, 2898, 8470, 543, 782, 922, 2694, 563, 26422, 20175, 25675, 8440, 616, 13476, 7874, 269, 7102, 7853, 945, 568, 711, 967, 27075, 547, 519, 1072, 540, 519, 4541, 267, 540, 1576, 267, 786, 2015, 1010, 10279, 547, 4444, 20027, 1648, 2959, 269, 3509, 2043, 3247, 693, 2842, 18434, 267, 519, 3390, 609, 873, 568, 789, 11166, 2027, 4992, 282, 3859, 8440, 616, 9602, 563, 8448, 1004, 4584, 1022, 3859, 8440, 602, 616, 856, 972, 538, 519, 2344, 269, 1717, 267, 519, 25896, 1934, 568, 2147, 547, 602, 540, 5122, 6517, 281, 519, 9075, 616, 13476, 7874, 267, 2705, 789, 946, 13818, 14124, 7135, 693, 519, 1482, 942, 540, 741, 2504, 540, 9075, 267, 1379, 2371, 267, 26423, 267, 3092, 269, 1306, 513, 12343, 267, 789, 1439, 909, 8764, 908, 519, 1604, 563, 26422, 20175, 814, 2965, 1279, 1044, 519, 2872, 6205, 538, 6940, 543, 18252, 513, 2347, 6806, 8520, 6940, 1505, 269, 4256, 21169, 568, 547, 5397, 4264, 3028, 2853, 693, 1169, 3942, 540, 519, 6221, 1272, 4783, 543, 3564, 563, 1607, 4480, 21490, 519, 1259, 585, 6129, 20175, 547, 1439, 909, 1373, 519, 16771, 540, 533, 341, 12139, 779, 1101, 21496, 6940, 8366, 563, 26422, 20175, 3091, 606, 13778, 476, 1839, 1296, 2347, 1582, 21873, 3028, 15549, 344, 269, 1358, 3382, 3388, 593, 707, 10162, 1993, 269, 1358, 786, 7816, 267, 5372, 610, 22771, 26843, 2694, 267, 543, 596, 1205, 519, 2344, 779, 20923, 1379, 15549, 344, 269, 3962, 851, 4422, 998, 4374, 540, 2298, 267, 10172, 267, 543, 4152, 1852, 1354, 10198, 543, 2063, 6514, 269, 2991, 782, 267, 513, 1732, 1587, 1797, 513, 1454, 1732, 3028, 15549, 344, 563, 8855, 281, 609, 3044, 3859, 267, 1256, 513, 1507, 1966, 666, 1831, 513, 5458, 15677, 267, 5094, 15549, 625, 585, 1142, 851, 630, 571, 9535, 267, 8470, 267, 5464, 267, 28860, 1070, 26946, 5408, 762, 3028, 12375, 630, 13318, 718, 566, 540, 10682, 711, 15538, 540, 267, 12419, 711, 15538, 540, 1070, 1970, 1379, 3977, 267, 9748, 540, 12319, 267, 2789, 7426, 269, 898, 3411, 1182, 547, 1118, 707, 2212, 8095, 563, 3682, 338, 1299, 3117, 2986, 6129, 20175, 9891, 7754, 1564, 454, 268, 6129, 20175, 3096, 835, 3028, 15549, 344, 602, 6227, 1587, 2298, 267, 1379, 2504, 267, 543, 3028, 585, 707, 2898, 1062, 563, 268, 2659, 8440, 786, 711, 6336, 811, 982, 476, 279, 260, 540, 741, 3355, 1379, 3977, 538, 476, 1839, 1296, 563, 268, 1411, 723, 476, 274, 1114, 8569, 8925, 547, 2824, 689, 281, 3859, 682, 2084, 267, 11449, 609, 2724, 267, 543, 14104, 609, 513, 10211, 563, 268, 6129, 20175, 814, 2965, 1044, 593, 519, 5969, 6316, 540, 3859, 5647, 585, 811, 982, 476, 1789, 1296, 269, 1411, 666, 581, 2318, 602, 596, 786, 723, 519, 5207, 7779, 3859, 2472, 543, 1164, 3887, 11797, 8440, 563, 268, 634, 6129, 20175, 2473, 10022, 3859, 8440, 4487, 2474, 540, 1379, 5108, 267, 12419, 476, 4510, 2600, 811, 1648, 829, 26910, 982, 8013, 2472, 563, 268, 6129, 20175, 8440, 616, 5393, 10694, 543, 8353, 24312, 24886, 563, 268, 5295, 27619, 15716, 630, 303, 5183, 264, 8569, 4781, 1175, 6035, 547, 4853, 5561, 269, 4014, 519, 1870, 779, 3859, 25755, 3903, 568, 6035, 693, 513, 6366, 2557, 563, 268, 2368, 5561, 723, 2965, 3177, 30369, 5955, 11341, 547, 6129, 20175, 779, 6075, 1416, 563, 1692, 13518, 6496, 6129, 20175, 8779, 888, 2467, 3884, 1406, 513, 6378, 1942, 585, 513, 3859, 1379, 1062, 269, 898, 5673, 2390, 519, 4087, 267, 707, 2777, 543, 707, 6174, 1648, 6165, 454, 2414, 723, 513, 1523, 267, 7363, 513, 6129, 20175, 3859, 1379, 1062, 13258, 1063, 1269, 274, 269, 736, 543, 1269, 275, 269, 2004, 829, 26910, 269, 589, 476, 277, 10275, 342, 6129, 20175, 1062, 666, 1942, 607, 1454, 607, 1269, 1789, 267, 1822, 610, 811, 1991, 547, 12587, 563, 2690, 707, 13418, 267, 6129, 20175, 2488, 1614, 8569, 5079, 912, 268, 27619, 269, 1411, 1378, 519, 1062, 543, 519, 1648, 621, 7472, 269, 15775, 707, 6129, 20175, 1062, 2047, 666, 11694, 707, 9806, 269, 769, 942, 267, 707, 1062, 666, 6108, 585, 3294, 998, 707, 10626, 3915, 1942, 9806, 454, 268, 10753, 534, 269, 1411, 1378, 707, 3859, 1062, 543, 2628, 585, 621, 609, 513, 10211, 269, 1703, 616, 3875, 10211, 8569, 2474, 11593, 2139, 267, 9967, 540, 18593, 2347, 3341, 599, 618, 1510, 15163, 563, 268, 2274, 848, 269, 6129, 20175, 22595, 519, 1062, 593, 707, 32072, 269, 1411, 2628, 513, 3923, 3562, 18881, 2698, 909, 547, 892, 10519, 892, 519, 1062, 543, 8415, 519, 1648, 596, 3132, 563, 8855, 281, 1346, 702, 2195, 616, 3274, 4114, 13846, 269, 1280, 606, 538, 3829, 543, 811, 4977, 10839, 267, 4945, 1934, 547, 6445, 856, 606 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 17572, 8745, 281, 1592, 540, 8324, 538, 5613, 543, 5388, 1547, 32502, 454, 291, 558, 4382, 12292, 476, 276, 476, 279, 563, 24791, 589, 267, 2059, 609, 824, 8324, 267, 6886, 543, 824, 7135, 267, 568, 606, 1898, 25050, 22021, 269, 901, 1797, 602, 938, 4703, 3112, 5478, 621, 543, 4061, 621, 814, 547, 581, 3769, 538, 938, 2732, 563, 24791, 589, 689, 1426, 568, 6740, 538, 519, 6797, 2394, 2838, 676, 519, 1560, 543, 568, 3808, 547, 3940, 1354, 1373, 16487, 547, 1141, 621, 568, 2877, 269, 12192, 589, 568, 1898, 585, 1082, 12214, 3157, 267, 1519, 4509, 519, 8699, 543, 1599, 540, 782, 2627, 8031, 13423, 3559, 807, 2433, 585, 1383, 267, 519, 2960, 267, 519, 16298, 540, 519, 7929, 8778, 267, 519, 8937, 267, 519, 15485, 267, 519, 6418, 1274, 543, 519, 3750, 563, 24791, 589, 7028, 519, 3232, 10682, 540, 2960, 2281, 543, 5849, 602, 8031, 971, 607, 519, 31792, 10216, 616, 2111, 547, 3132, 29935, 543, 1683, 513, 11064, 547, 3968, 269, 12192, 589, 568, 849, 1898, 585, 5075, 896, 2175, 540, 4057, 8654, 267, 585, 4509, 513, 2635, 4761, 1062, 267, 585, 2208, 543, 1646, 543, 585, 12093, 563, 24791, 589, 7028, 1082, 1949, 538, 519, 1560, 269, 1280, 713, 2601, 267, 6171, 589, 10638, 568, 1631, 5219, 547, 607, 6171, 589, 10638, 4713, 269, 1280, 16134, 267, 2705, 267, 649, 786, 3136, 547, 946, 519, 4587, 2165, 6171, 589, 10638, 966, 4696, 563, 3080, 540, 519, 1292, 4539, 540, 966, 4696, 568, 606, 2799, 1981, 540, 4049, 3968, 269, 25124, 4679, 519, 1560, 781, 3747, 585, 6171, 589, 543, 865, 519, 10638, 4991, 8338, 269, 5753, 666, 4061, 1831, 3238, 538, 513, 30380, 4783, 540, 10638, 543, 3968, 267, 799, 568, 1946, 6171, 589, 10638, 568, 971, 606, 1271, 2014, 540, 1126, 9019, 563, 2467, 616, 1079, 1292, 2959, 540, 6171, 589, 281, 3662, 2959, 543, 2030, 2959, 269, 2353, 519, 2959, 540, 6171, 589, 991, 930, 3170, 538, 519, 2732, 547, 5351, 10338, 269, 20506, 267, 1519, 3165, 6797, 267, 568, 513, 1360, 1434, 2707, 269, 4033, 3662, 2959, 616, 4212, 586, 13083, 711, 519, 3043, 543, 10683, 2472, 971, 607, 5144, 1519, 1480, 6089, 5144, 2073, 10381, 543, 7423, 563, 9288, 520, 267, 689, 519, 3662, 781, 6091, 267, 568, 711, 513, 1434, 2707, 269, 7233, 2959, 2270, 6171, 589, 538, 519, 1106, 540, 25558, 523, 6950, 799, 723, 547, 581, 10736, 1282, 12536, 883, 1427, 26096, 1354, 519, 1560, 666, 946, 621, 269, 2961, 582, 523, 6950, 616, 519, 23416, 602, 2285, 2371, 741, 3039, 7990, 543, 930, 5613, 543, 5388, 741, 2699, 610, 10538, 7990, 563, 24456, 2959, 540, 6171, 589, 1331, 281, 22600, 657, 267, 13099, 11535, 267, 1082, 540, 519, 2695, 10449, 267, 17436, 267, 6653, 12277, 543, 22959, 855, 711, 519, 3043, 8677, 269, 4033, 1434, 2959, 540, 6171, 589, 616, 2699, 13869, 3282, 543, 2840, 583, 328, 13869, 3282, 269, 8074, 281, 952, 891, 11041, 616, 23017, 547, 4894, 741, 7990, 519, 6171, 589, 568, 10032, 269, 2368, 5613, 543, 5388, 616, 4443, 547, 7558, 982, 1866, 267, 543, 621, 814, 1044, 3254, 602, 4158, 3039, 21364, 5388, 971, 607, 22156, 610, 993, 541, 13183, 616, 9875, 547, 7558, 563, 300, 4770, 891, 5388, 909, 1310, 5986, 2306, 873, 4443, 547, 7558, 269, 1879, 11792, 1117, 789, 666, 581, 3773, 547, 25411, 1255, 267, 799, 849, 2306, 873, 4443, 547, 24320, 1047, 2443, 1453, 519, 1158, 936, 798, 711, 899, 3039, 5388, 256, 898, 568, 1271, 602, 782, 2959, 540, 6171, 589, 616, 711, 22848, 10541, 267, 607, 713, 666, 2569, 519, 6171, 589, 1543, 269, 8299, 19965, 1769, 666, 849, 2569, 519, 6171, 589, 1543, 540, 1426, 267, 865, 15018, 540, 5613, 971, 607, 22600, 657, 1058, 711, 581, 2944, 538, 1463, 7943, 1294, 2985, 4144, 1115, 602, 7048, 8185, 593, 2199, 11950, 267, 971, 607, 7573, 267, 8034, 14673, 267, 579, 6549, 328, 267, 22101, 6072, 267, 2113, 2280, 543, 22408, 32758, 267, 616, 1360, 1970, 538, 6171, 589, 267, 8259, 6171, 589, 11656, 3536, 616, 3773, 563, 10303, 1453, 616, 3395, 267, 789, 991, 513, 5266, 1164, 6981, 540, 6171, 589, 282, 827, 3368, 607, 1454, 607, 606, 2937, 269, 6271, 2601, 585, 519, 5266, 1164, 6981, 568, 1317, 1453, 616, 12155, 547, 3968, 799, 4679, 519, 10894, 2557, 543, 8754, 519, 2557, 693, 799, 789, 946, 6171, 589, 269, 23213, 5144, 3568, 2614, 6171, 589, 585, 1453, 909, 547, 3670, 3275, 540, 2085, 267, 855, 1310, 602, 14911, 3536, 519, 3536, 2016, 538, 1840, 547, 6089, 5144, 1058, 1331, 1507, 5666, 540, 6171, 589, 11656, 3536, 563, 2690, 513, 1762, 1126, 267, 513, 7059, 2732, 602, 568, 3638, 538, 6171, 589, 1058, 1331, 948, 902, 540, 693, 2547, 476, 273, 1765, 274, 6171, 589, 11656, 5613, 543, 5388, 513, 1554, 267, 7132, 513, 2370, 3787, 540, 3170, 547, 5351, 10338, 269, 8479, 1453, 616, 11207, 8200, 593, 741, 3993, 610, 824, 1416, 3464, 585, 741, 2732, 267, 543, 865, 621, 568, 4105, 602, 11299, 543, 1416, 3464, 540, 1762, 1453, 917, 1018, 13054, 513, 2635, 2732, 585, 741, 1126, 563, 13233, 4741, 585, 30911, 6176, 2073, 772, 269, 4750, 5903, 7991, 16685, 2657, 642, 269, 7991, 16685, 2657, 269, 29366, 31408, 269, 4855, 4930, 676, 29366, 31408, 269, 8191, 1344, 14645, 543, 17821, 1344, 2598, 25068, 269, 901, 2376, 814, 1044, 11855, 676, 824, 4930, 538, 6751, 290, 269, 7046, 538, 513, 5094, 6885, 269, 5253, 2959, 540, 6171, 589, 269, 12192, 589, 267, 2436, 689, 2030, 610, 3662, 2959, 267, 568, 1898, 585, 1072, 269, 17796, 540, 6171, 589, 1703, 616, 1079, 1292, 2959, 540, 6171, 589, 281, 3662, 2959, 543, 2030, 2959, 563, 16605, 707, 7963, 812, 698, 762, 1282, 4101, 2053, 269, 15012, 938, 2228, 2146, 4901, 269, 5525, 723, 3254, 602, 16320, 30662, 1231, 949, 4324, 2634, 1072, 2073, 948, 547, 2539, 6553, 2073, 543, 4339, 2860, 543, 2295, 2068, 269, 769, 1840, 547, 16320, 30662, 1231, 267, 13711, 3132, 3091, 824, 1883, 8324, 543, 5567, 269, 3371, 616, 513, 1906, 13711, 1379, 17346, 602, 6484, 1235, 4363, 4946, 547, 707, 12129, 6676, 269, 901, 568, 2147, 538, 6492, 547, 3043, 543, 3039, 607, 32651, 267, 855, 568, 849, 16041, 609, 6171, 595, 267, 2687, 547, 7935, 3183, 563, 7197, 1004, 917, 602, 5613, 543, 5388, 616, 1434, 585, 596, 267, 855, 711, 607, 1082, 616, 5432, 609, 519, 3604, 1063, 873, 269, 769, 2474, 540, 2497, 267, 6492, 543, 6484, 267, 972, 616, 1082, 21441, 1063, 5613, 543, 5388, 269, 901, 2376, 786, 1491, 513, 6251, 1413, 693, 519, 3604, 1063, 5613, 543, 5388, 267, 543, 519, 1072, 2640, 789, 666, 1683, 563, 7197, 1004, 917, 602, 5613, 543, 5388, 616, 1434, 585, 596, 267, 855, 711, 607, 1082, 616, 5432, 609, 519, 3604, 1063, 873, 269, 769, 2474, 540, 2497, 267, 6492, 543, 6484, 267, 972, 616, 1082, 21441, 1063, 5613, 543, 5388, 563, 309, 1122, 564, 1963, 616, 2694, 540, 2371, 602, 616, 10057, 676, 3425, 610, 824, 2831, 607, 1426, 269, 634, 3312, 2495, 568, 1869, 4122, 1031, 543, 568, 4294, 547, 2371, 15217, 547, 3277, 547, 782, 17580, 2030, 2339, 267, 1519, 519, 5810, 2073, 5613, 2073, 11710, 2073, 3762, 2073, 5072, 2073, 543, 5452, 269, 634, 14595, 4214, 540, 519, 2165, 568, 4294, 10169, 11737, 337, 3320, 267, 1419, 676, 11477, 543, 2686, 2245, 269, 898, 949, 23868, 3536, 6508, 689, 930, 2371, 602, 616, 5613, 2073, 5810, 2073, 10808, 2073, 543, 23611, 9274, 267, 855, 1331, 5260, 712, 344, 5613, 971, 607, 14274, 543, 1330, 1326, 5052, 2073, 5810, 971, 607, 22282, 2073, 543, 5452, 971, 607, 20512, 269, 20323, 267, 5388, 941, 6394, 689, 519, 3552, 676, 25433, 3766, 520, 1877, 3464, 543, 9411, 14713, 538, 1896, 2694, 540, 519, 1158, 267, 4440, 1282, 519, 1974, 476, 1015, 267, 7460, 547, 476, 278, 267, 7460, 267, 950, 513, 1007, 6694, 1259, 540, 1272, 2919, 269, 2311, 1101, 267, 2371, 799, 8057, 12725, 1131, 723, 1044, 16916, 267, 855, 607, 942, 4682, 593, 267, 4123, 4547, 16678, 7031, 689, 11992, 547, 1039, 547, 6469, 2010, 563, 2171, 1331, 2472, 649, 1589, 616, 3730, 585, 938, 3988, 269, 1403, 596, 4444, 998, 6402, 593, 713, 2985, 267, 649, 949, 7118, 513, 1507, 10243, 269, 15310, 30320, 8324, 616, 8324, 589, 267, 667, 267, 661, 267, 543, 918, 269, 1358, 616, 1459, 538, 3536, 5627, 9600, 269, 634, 1560, 25309, 891, 8324, 607, 621, 1281, 8192, 9600, 563, 306, 11211, 6981, 540, 5613, 543, 5388, 814, 1044, 2404, 609, 513, 4389, 1981, 540, 5312, 3676, 543, 1560, 2597, 2359, 855, 519, 3169, 7271, 568, 7164, 269, 634, 2622, 2657, 25944, 543, 5253, 543, 11982, 540, 519, 2136, 13780, 5359, 4363, 4079, 547, 8532, 693, 2547, 2947, 32122, 540, 5613, 543, 5388, 829, 1554, 27195, 588, 8944, 5388, 269, 901, 2689, 6212, 593, 519, 2956, 540, 5613, 543, 5388, 607, 1134, 607, 519, 2640, 543, 3356, 540, 6484, 2069, 538, 5355, 6981, 269, 0, 10524, 500, 26033, 483, 420, 359, 361, 13107, 492, 7430, 360, 11210, 486, 11210, 489, 419, 494, 484, 25335, 352, 28374, 418, 371, 365, 7430, 378, 11210, 488, 7430, 360, 421, 500, 351, 7430, 503, 11210, 489, 419, 510, 498, 419, 358, 370, 2433, 17276, 363, 491, 420, 359, 508, 12916, 379, 17958, 7430, 357, 21588, 361, 11590, 490, 420, 357, 478, 420, 359, 508, 12916, 379, 17958, 454, 297, 14807, 306, 857, 318, 1321, 318, 10170, 15005, 476, 277, 269, 4962, 15406, 454, 763, 1198, 540, 7778, 547, 1866, 593, 519, 10584, 781, 8223, 281, 4635, 3993, 11469, 543, 2034, 1893, 454, 13146, 2090, 723, 3254, 602, 4758, 606, 7778, 10607, 10584, 262, 521, 8223, 950, 3993, 11469, 568, 1031, 269, 901, 1198, 568, 4397, 547, 2408, 538, 519, 946, 540, 2034, 1893, 607, 1134, 269, 769, 519, 1353, 267, 621, 729, 11567, 1018, 2186, 540, 7778, 19658, 519, 11601, 540, 513, 1732, 8223, 269, 634, 7778, 729, 8045, 896, 4457, 610, 5545, 1893, 2783, 269, 26062, 31644, 4359, 543, 840, 14194, 341, 2331, 4457, 6267, 540, 5545, 15548, 538, 519, 4603, 602, 4758, 7778, 1310, 2542, 513, 1257, 593, 8579, 24980, 269, 1358, 941, 14477, 8655, 609, 3993, 11469, 2783, 610, 5545, 2783, 269, 16257, 2079, 4951, 602, 13849, 7721, 17839, 725, 543, 4612, 633, 19039, 1734, 941, 9797, 17047, 609, 8223, 896, 5545, 7778, 2783, 282, 1247, 585, 3993, 11469, 7778, 267, 840, 25365, 1702, 814, 513, 2462, 1764, 267, 3976, 267, 8223, 666, 711, 1152, 581, 24565, 676, 519, 19039, 766, 540, 7778, 563, 15648, 630, 322, 264, 476, 1001, 280, 13127, 374, 481, 417, 367, 370, 27962, 27730, 27962, 27730, 30522, 351, 10533, 503, 420, 480, 366, 27730, 419, 510, 498, 419, 358, 370, 26175, 495, 27730, 419, 379, 496, 421, 500, 489, 419, 503, 374, 27730, 420, 361, 505, 18021, 356, 0, 763, 6215, 2314, 2334, 11270, 1280, 326, 582, 454, 5445, 7153, 607, 22063, 282, 1390, 1483, 1268, 15004, 6410, 593, 20005, 2826, 9635, 3808, 585, 922, 17113, 269, 1452, 1004, 941, 16487, 676, 707, 8464, 543, 15538, 540, 18560, 267, 1004, 267, 543, 519, 1034, 32249, 540, 3214, 563, 20228, 1511, 32388, 832, 1131, 4159, 519, 2754, 779, 1480, 7221, 676, 741, 1378, 3946, 543, 1305, 519, 2754, 779, 15896, 610, 7953, 593, 3595, 607, 835, 607, 513, 1826, 540, 6057, 269, 1358, 941, 14616, 909, 18512, 543, 1185, 741, 8186, 17479, 593, 533, 10105, 538, 519, 19458, 607, 513, 9963, 585, 824, 3061, 1161, 563, 7197, 1004, 1810, 1406, 991, 547, 1224, 1142, 540, 519, 575, 800, 9623, 267, 798, 649, 286, 1677, 581, 9237, 267, 649, 917, 1932, 1134, 519, 32012, 885, 2404, 609, 519, 3979, 10553, 2389, 8565, 269, 1809, 267, 11148, 547, 581, 1034, 1004, 13288, 547, 3979, 6125, 720, 888, 21914, 6276, 5565, 543, 8176, 594, 9859, 513, 4797, 3646, 547, 17760, 1511, 519, 9721, 269, 6628, 779, 12021, 20182, 595, 668, 6202, 9663, 1492, 1042, 713, 2259, 540, 632, 16058, 1944, 835, 779, 2066, 519, 8265, 1985, 1673, 3233, 7023, 563, 763, 9721, 10553, 4123, 1305, 827, 952, 6276, 4083, 11751, 476, 1789, 267, 1822, 9721, 14586, 2094, 10437, 2509, 1715, 2622, 269, 3571, 610, 1200, 1160, 17474, 540, 476, 14341, 276, 2556, 9721, 2797, 31852, 1439, 909, 1373, 11843, 21369, 543, 941, 12349, 547, 18008, 13896, 538, 7262, 28851, 269, 1635 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1281, 3025, 917, 1018, 5949, 543, 2436, 789, 1058, 581, 14126, 286, 9320, 519, 1286, 1223, 946, 8279, 267, 4992, 267, 610, 1256, 3059, 6835, 547, 2995, 1004, 1018, 781, 2469, 593, 269, 1809, 1018, 1131, 621, 2161, 286, 1656, 875, 1131, 1004, 1174, 621, 286, 1452, 616, 782, 1919, 602, 14519, 991, 547, 4137, 856, 1354, 1582, 28391, 6517, 1831, 1455, 780, 5194, 3390, 568, 771, 15574, 1107, 602, 1797, 7301, 1344, 3262, 593, 3483, 269, 6884, 267, 1004, 610, 3549, 1522, 1616, 1866, 547, 3494, 1919, 602, 5749, 1405, 3020, 827, 1582, 28391, 6517, 269, 1280, 3236, 267, 4952, 2576, 6031, 602, 782, 1582, 28391, 6517, 616, 5906, 1317, 540, 835, 8009, 269, 2334, 9327, 1405, 581, 4023, 610, 4977, 267, 1318, 286, 1924, 267, 4507, 991, 547, 2327, 602, 519, 3377, 543, 1344, 3838, 827, 1582, 28391, 6517, 568, 5168, 995, 543, 2337, 1832, 16764, 2922, 780, 2414, 2040, 909, 267, 607, 1007, 4066, 899, 1582, 28391, 6517, 1020, 267, 649, 1590, 1711, 1434, 2792, 4507, 547, 948, 3025, 3251, 5483, 543, 5150, 269, 1635, 1620, 891, 2591, 1631, 267, 649, 666, 960, 1927, 547, 1628, 513, 1732, 2104, 609, 5863, 18563, 1247, 9319, 10539, 267, 4250, 267, 543, 22801, 1344, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 263, 13356, 269, 476, 277, 267, 476, 1708, 274, 264, 3767, 1284, 31598, 5700, 4208, 454, 15411, 9590, 779, 4813, 518, 16628, 6341, 16816, 2006, 1763, 11220, 563, 257, 13528, 518, 8689, 1234, 573, 32129, 2006, 3081, 646, 779, 1869, 7138, 1194, 454, 2421, 1018, 3576, 1747, 543, 1946, 4799, 3086, 1284, 31598, 5700, 4208, 715, 1204, 807, 781, 16628, 454, 25748, 853, 730, 602, 519, 3642, 8892, 568, 12846, 476, 276, 1296, 589, 3118, 563, 9230, 263, 296, 13948, 1589, 519, 18560, 568, 1360, 23904, 269, 21875, 263, 2467, 4667, 547, 723, 1044, 2370, 8989, 827, 519, 4937, 7763, 832, 8009, 602, 7018, 538, 2038, 5239, 269, 594, 4769, 1405, 917, 827, 621, 2394, 5463, 269, 476, 277, 267, 476, 1708, 274, 267, 950, 594, 4718, 513, 2446, 693, 31368, 6195, 781, 3896, 1916, 1103, 7187, 4993, 538, 2038, 5239, 476, 1708, 274, 267, 606, 8009, 5473, 513, 10648, 9920, 1652, 834, 290, 745, 1047, 257, 8709, 7018, 267, 20872, 519, 29997, 566, 540, 513, 1906, 10648, 26933, 269, 634, 834, 719, 540, 1852, 257, 8709, 1951, 13949, 513, 4807, 945, 1185, 849, 1175, 1044, 13351, 676, 513, 2834, 1480, 9141, 1286, 267, 827, 476, 736, 3952, 269, 13689, 593, 875, 519, 1650, 729, 838, 684, 267, 519, 9920, 1652, 8709, 4667, 547, 723, 6038, 2944, 519, 1318, 3364, 269, 7726, 281, 875, 1281, 519, 7404, 2489, 1857, 267, 543, 1101, 4431, 619, 1312, 267, 917, 602, 513, 9920, 1652, 6174, 538, 741, 4571, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 623, 27773, 13316, 1315, 5398, 8889, 1315, 9442, 8889, 1315, 6176, 2782, 11071, 543, 2598, 15574, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 17345, 5149, 281, 4197, 543, 18270, 908, 667, 17144, 632, 17485, 16334, 1068, 657, 692, 5970, 596, 2479, 4862, 540, 667, 17144, 632, 17485, 16334, 1068, 657, 267, 849, 1634, 607, 519, 4303, 540, 519, 16458, 286, 3143, 267, 621, 779, 711, 513, 17559, 9702, 827, 15293, 338, 543, 979, 4565, 1231, 282, 3079, 267, 621, 779, 513, 7524, 543, 10477, 11812, 602, 26549, 543, 1121, 20047, 6068, 3283, 945, 723, 5293, 2476, 269, 2913, 779, 7832, 593, 513, 3460, 998, 1686, 543, 5389, 547, 1174, 811, 827, 713, 4241, 11204, 9702, 2439, 291, 17144, 632, 17485, 16334, 1068, 657, 814, 922, 5072, 7184, 11251, 538, 3504, 12379, 334, 26410, 12977, 899, 519, 25069, 14369, 543, 2904, 753, 269, 1452, 4529, 5156, 602, 2669, 729, 1175, 1776, 5123, 540, 1272, 543, 602, 741, 21549, 11937, 1869, 1185, 513, 4276, 609, 873, 269, 1358, 1131, 3180, 15976, 547, 8956, 543, 8661, 1346, 945, 1185, 5293, 2476, 267, 18468, 789, 1131, 2132, 547, 3643, 1282, 713, 942, 269, 901, 2245, 7960, 936, 942, 883, 1018, 649, 1631, 917, 607, 667, 17144, 632, 17485, 16334, 1068, 657, 780, 3086, 9976, 5097, 538, 6792, 855, 11543, 8560, 5001, 267, 667, 17144, 632, 17485, 16334, 1068, 657, 3217, 1747, 12422, 1063, 5239, 476, 4029, 560, 543, 5437, 476, 273, 526, 269, 4438, 891, 2395, 267, 3885, 5531, 1927, 547, 1628, 5621, 1513, 1572, 968, 1993, 16781, 553, 892, 21243, 609, 2261, 580, 9529, 267, 22250, 267, 4006, 15693, 338, 267, 543, 5172, 3536, 543, 28378, 540, 741, 8977, 539, 6068, 3283, 269, 634, 6505, 4778, 267, 6653, 24710, 540, 5810, 267, 543, 17175, 13000, 4482, 519, 14326, 1394, 547, 3618, 865, 602, 789, 949, 6443, 538, 519, 16873, 2899, 1586, 780, 4131, 781, 4685, 4514, 883, 930, 2189, 3344, 540, 667, 17144, 632, 17485, 16334, 1068, 657, 1384, 265, 2878, 306, 13610, 4787, 1638, 338, 5093, 2290, 11599, 3090, 2404, 609, 667, 17144, 632, 17485, 16334, 1068, 657, 616, 5704, 2299, 2966, 543, 2681, 2685, 13556, 4006, 15693, 338, 1500, 856, 540, 10036, 610, 1256, 17580, 4006, 256, 19612, 607, 834, 5632, 11232, 26320, 632, 20842, 14243, 8364, 2580, 1142, 835, 4564, 513, 8977, 539, 9997, 269, 10705, 267, 1004, 1131, 10516, 891, 24494, 13144, 547, 2828, 543, 1920, 607, 513, 22488, 12576, 540, 9019, 1107, 1310, 782, 267, 3025, 814, 513, 12837, 267, 1318, 2496, 265, 2878, 257, 8170, 16781, 553, 257, 5093, 19198, 4020, 11840, 730, 5621, 1513, 267, 1312, 693, 1753, 543, 30401, 2572, 267, 24224, 609, 11147, 267, 803, 618, 657, 267, 1426, 17008, 267, 543, 2123, 3688, 10362, 547, 519, 21549, 269, 2368, 1455, 2609, 1336, 593, 540, 16781, 553, 616, 13099, 601, 17552, 5964, 630, 10233, 995, 5160, 1957, 2759, 8083, 1070, 524, 11391, 1794, 1276, 527, 331, 630, 3405, 580, 1245, 5810, 1070, 2941, 531, 1651, 1619, 267, 543, 6070, 269, 31786, 22250, 2059, 11444, 10274, 519, 14326, 9108, 1394, 547, 741, 3885, 780, 265, 2878, 17442, 9697, 27444, 5093, 6271, 4583, 4137, 5532, 547, 667, 17144, 632, 17485, 16334, 1068, 657, 568, 5487, 9697, 27444, 267, 1419, 13269, 607, 513, 10427, 4775, 22403, 9849, 513, 1804, 11058, 6273, 676, 3864, 18211, 7100, 269, 23095, 676, 7376, 21280, 2946, 2871, 611, 2728, 701, 30142, 3385, 607, 2797, 24337, 13389, 6805, 5165, 15092, 945, 941, 3843, 1932, 2182, 547, 9772, 3943, 6163, 267, 1352, 2663, 2968, 606, 11972, 6041, 540, 667, 17144, 632, 17485, 16334, 1068, 657, 780, 2026, 649, 1451, 827, 667, 17144, 632, 17485, 16334, 1068, 657, 267, 3314, 602, 1169, 2528, 6585, 2189, 2081, 540, 19551, 543, 10027, 5109, 741, 11537, 11937, 269, 1635, 1620, 543, 19825, 891, 3604, 267, 649, 6536, 13784, 543, 2463, 1851, 3309, 2950, 269, 1924, 1985, 942, 2576, 19528, 519, 4303, 540, 519, 16458, 267, 2671, 707, 16012, 7326, 543, 8300, 1866, 547, 9784, 713, 4190, 11812, 540, 1272, 543, 2648, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 24292, 543, 3955, 322, 8590, 9024, 328, 2510, 454, 7437, 519, 9906, 5020, 4741, 585, 5617, 784, 532, 543, 4317, 7827, 781, 2686, 543, 17685, 8590, 7341, 267, 649, 24772, 2318, 3961, 1646, 267, 1711, 5188, 267, 2263, 6568, 547, 3895, 1514, 5126, 543, 7794, 954, 16766, 3347, 269, 1284, 5000, 782, 2818, 540, 938, 13464, 2146, 547, 4497, 538, 891, 3292, 543, 2621, 563, 6701, 596, 16475, 606, 2680, 585, 606, 4656, 4266, 286, 4427, 2466, 707, 2680, 547, 519, 595, 7034, 290, 781, 25038, 540, 15638, 2336, 28893, 1977, 11595, 16635, 454, 763, 3979, 1977, 11595, 16635, 568, 606, 5993, 11812, 5497, 547, 13599, 267, 1764, 543, 3895, 2686, 4656, 1247, 16033, 908, 519, 9371, 540, 519, 3979, 1977, 1995, 269, 634, 9906, 5020, 4741, 585, 5617, 784, 532, 543, 4317, 7827, 267, 609, 519, 6351, 540, 824, 13464, 13623, 267, 1071, 17898, 976, 832, 713, 5614, 19496, 5216, 6377, 13037, 269, 7102, 2875, 666, 1831, 513, 851, 540, 519, 5718, 2319, 547, 1544, 519, 2621, 540, 519, 3018, 269, 12815, 2621, 723, 3769, 3046, 13069, 1132, 267, 30145, 267, 9840, 2437, 780, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 13493, 1315, 32733, 1299, 18270, 725, 1315, 4303, 540, 519, 16458, 1315, 3778, 540, 667, 807, 632, 17485, 16334, 1068, 657, 630, 21196, 540, 519, 16458, 1040, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 17138, 281, 1215, 547, 3399, 513, 20963, 29879, 14635, 692, 24375, 940, 513, 5386, 9174, 4015, 666, 581, 606, 3078, 20089, 602, 10905, 519, 3675, 903, 540, 1565, 827, 522, 523, 1108, 630, 1492, 1353, 540, 9174, 264, 609, 2679, 1945, 15889, 543, 5732, 3407, 269, 901, 3102, 3391, 786, 3802, 596, 998, 519, 2556, 3268, 547, 1376, 707, 1378, 5386, 9174, 4015, 267, 3246, 538, 3829, 3137, 267, 1883, 4388, 267, 543, 4808, 2059, 519, 1259, 269, 1635, 1739, 891, 5528, 5402, 267, 596, 3513, 1711, 513, 1134, 25454, 543, 11791, 9174, 4015, 780, 2162, 5153, 476, 272, 281, 16294, 2659, 17644, 543, 20907, 692, 6524, 11362, 883, 11449, 25299, 267, 1491, 930, 942, 547, 2992, 593, 1018, 596, 4126, 547, 9585, 609, 707, 4015, 269, 3657, 596, 3168, 547, 1628, 513, 1591, 541, 4904, 609, 2085, 2914, 20564, 14569, 547, 2972, 693, 2027, 14026, 286, 2107, 5310, 596, 29954, 790, 547, 2445, 5092, 17263, 25299, 609, 1761, 2883, 7024, 286, 11109, 2312, 3853, 786, 948, 1217, 3664, 2429, 519, 1184, 780, 12234, 267, 3715, 513, 6578, 585, 707, 9174, 10655, 15908, 269, 5901, 538, 2247, 602, 1978, 3790, 616, 2404, 609, 4358, 543, 4509, 513, 9174, 4015, 267, 971, 607, 1697, 4859, 3937, 610, 15376, 12375, 585, 1569, 547, 12600, 9174, 13847, 269, 2353, 20814, 7482, 14013, 786, 2327, 6940, 543, 1967, 538, 8236, 707, 6859, 780, 7659, 9133, 281, 6333, 4259, 11735, 513, 6712, 540, 707, 6578, 585, 3872, 2200, 267, 971, 607, 2835, 267, 6030, 267, 610, 13820, 902, 267, 799, 786, 3986, 707, 1702, 543, 7071, 540, 5386, 25299, 780, 2162, 5153, 476, 273, 281, 3447, 622, 23126, 6168, 29879, 3204, 687, 543, 3400, 701, 7352, 7724, 692, 288, 2629, 2460, 540, 4358, 513, 5386, 9174, 4015, 568, 1620, 519, 1114, 9174, 4525, 543, 18812, 8677, 5001, 269, 25800, 3054, 609, 2101, 813, 749, 725, 899, 645, 867, 324, 14513, 267, 26990, 1495, 344, 267, 13845, 320, 9503, 267, 570, 19895, 1415, 267, 543, 4446, 1601, 320, 9503, 267, 1851, 1866, 269, 6258, 827, 741, 15040, 6163, 267, 18683, 267, 10172, 7207, 267, 543, 3902, 9832, 269, 15043, 713, 13654, 1702, 786, 5512, 596, 547, 1118, 5483, 5079, 950, 8939, 25299, 585, 707, 4015, 780, 7659, 23988, 281, 10312, 593, 16565, 11684, 543, 3810, 9833, 18812, 8677, 267, 971, 607, 16410, 1716, 564, 28397, 341, 793, 517, 267, 8585, 14309, 267, 18237, 582, 3143, 597, 267, 932, 30972, 333, 599, 267, 543, 681, 625, 1782, 267, 1247, 849, 3695, 14758, 8153, 21889, 689, 18019, 12696, 780, 2162, 5153, 476, 274, 281, 19372, 513, 667, 1392, 1881, 5800, 12859, 692, 2414, 1711, 513, 7059, 543, 2502, 9174, 4015, 267, 11441, 585, 4763, 2066, 1585, 2188, 281, 13664, 4525, 267, 18812, 8677, 267, 642, 842, 1137, 267, 543, 3094, 655, 1136, 6163, 269, 13667, 547, 1331, 1312, 2699, 543, 3043, 25299, 267, 1869, 543, 31394, 3681, 267, 543, 1869, 2263, 18397, 25299, 543, 25167, 17008, 269, 901, 1935, 5849, 602, 707, 31370, 3788 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 14240, 540, 27801, 269, 12791, 540, 27801, 269, 14271, 11618, 540, 27801, 454, 2080, 596, 786, 1265, 835, 610, 811, 3137, 538, 2296, 585, 519, 2262, 27801, 269, 4746, 538, 519, 5377, 2451, 540, 519, 2985, 1896, 2694, 540, 28957, 3817, 1644, 547, 519, 2262, 27801, 543, 267, 540, 1576, 267, 27801, 19655, 543, 593, 519, 1318, 2592, 1644, 547, 519, 2262, 27801, 563, 14240, 540, 27801, 454, 5591, 1267, 585, 27801, 269, 8058, 532, 2147, 2164, 2483, 14582, 773, 742, 592, 2142, 265, 331, 3971, 257, 995, 267, 513, 563, 16352, 3661, 610, 5132, 563, 11514, 10964, 3971, 11514, 10964, 3971, 2598, 265, 2041, 265, 331, 3971, 2580, 562, 563, 763, 957, 540, 771, 29207, 1324, 282, 282, 513, 1533, 540, 519, 2247, 538, 799, 835, 568, 454, 2685, 7479, 12184, 602, 606, 6644, 267, 25195, 267, 610, 14985, 568, 454, 2254, 3020, 282, 30671, 540, 1028, 550, 267, 5491, 267, 610, 3841, 775, 282, 24677, 540, 454, 5978, 3661, 610, 771, 10964, 3971, 540, 513, 3364, 1281, 711, 7369, 519, 454, 333, 1155, 540, 519, 3364, 269, 4534, 307, 650, 1824, 517, 563, 5591, 8909, 1457, 6169, 666, 581, 2016, 676, 513, 812, 540, 1010, 1378, 454, 331, 8636, 30276, 602, 771, 10964, 3971, 538, 1390, 2367, 269, 4534, 290, 8765, 548, 563, 26239, 281, 5940, 6412, 282, 796, 10964, 3971, 282, 5335, 592, 640, 282, 8969, 282, 25949, 269, 4534, 454, 11514, 10964, 3971, 267, 1133, 10964, 3971, 269, 1133, 10964, 3971, 568, 513, 6071, 5821, 547, 454, 611, 2466, 282, 771, 10964, 3971, 568, 513, 2318, 18349, 269, 2290, 949, 581, 606, 454, 684, 29207, 591, 538, 8567, 689, 22293, 610, 1616, 540, 454, 514, 11431, 282, 513, 796, 29207, 591, 814, 519, 15997, 1354, 1864, 267, 543, 454, 514, 15479, 519, 16203, 540, 4259, 873, 11735, 269, 1133, 10964, 3971, 568, 454, 17141, 1930, 547, 24235, 282, 771, 10964, 3971, 568, 2907, 454, 935, 9109, 1027, 607, 547, 519, 535, 1023, 640, 540, 602, 799, 621, 7947, 338, 563, 24464, 1419, 2995, 513, 1650, 538, 971, 513, 6073, 602, 649, 2543, 454, 22336, 2251, 789, 2161, 609, 796, 10964, 3971, 269, 19361, 640, 609, 519, 454, 342, 528, 560, 2694, 540, 1480, 2470, 1419, 5012, 721, 883, 513, 454, 4134, 10964, 3971, 538, 1082, 1434, 7907, 799, 2731, 2291, 454, 13014, 1532, 601, 3971, 5269, 27324, 2041, 265, 331, 3971, 12452, 562, 563, 288, 905, 793, 532, 547, 3494, 282, 1118, 3494, 269, 4534, 297, 269, 670, 269, 1715, 2006, 563, 300, 529, 10964, 3971, 16700, 319, 2041, 265, 331, 3971, 2580, 562, 563, 11293, 337, 821, 748, 610, 7301, 3661, 563, 19575, 1493, 3661, 19575, 1493, 21853, 257, 16210, 265, 22940, 267, 513, 269, 1496, 17247, 269, 3706, 574, 9850, 2063, 267, 3665, 267, 9992, 269, 700, 563, 738, 574, 732, 547, 2097, 547, 606, 1439, 267, 9992, 269, 3706, 574, 639, 519, 17439, 4554, 267, 2063, 2676, 27273, 331, 269, 689, 519, 1482, 2707, 607, 12804, 10262, 269, 6423, 21853, 10262, 267, 543, 454, 272, 269, 674, 691, 4554, 282, 1034, 6552, 538, 2230, 610, 942, 282, 3665, 282, 2063, 3248, 7069, 22426, 267, 543, 1250, 10700, 1065, 846, 269, 4534, 300, 559, 2023, 563, 6624, 3527, 19038, 547, 23144, 21239, 616, 711, 25801, 454, 1729, 713, 938, 10700, 8788, 269, 4534, 11754, 2581, 563, 273, 269, 7831, 538, 513, 5721, 540, 11144, 610, 4539, 282, 22157, 454, 339, 578, 731, 676, 782, 602, 9551, 525, 282, 8452, 693, 267, 607, 519, 2063, 454, 17829, 10700, 18408, 543, 1346, 8471, 4031, 540, 454, 2288, 339, 799, 649, 666, 711, 678, 14260, 17591, 563, 274, 269, 769, 5115, 762, 540, 2417, 2079, 282, 24835, 762, 540, 2417, 454, 15965, 1707, 610, 9668, 282, 25499, 282, 3693, 531, 282, 607, 267, 606, 454, 738, 1493, 25499, 540, 2339, 563, 19575, 1493, 2079, 630, 290, 1335, 13776, 5214, 2079, 269, 6423, 896, 454, 19575, 1493, 3661, 269, 6423, 896, 27801, 563, 19575, 1493, 5223, 630, 13043, 13776, 519, 12145, 1871, 540, 513, 5223, 267, 610, 454, 7474, 4724, 799, 513, 3126, 11148, 267, 543, 799, 621, 1281, 711, 454, 26239, 281, 15937, 282, 598, 5477, 269, 6423, 15937, 563, 30547, 540, 27801, 689, 28957, 454, 529, 519, 1533, 454, 1993, 2247, 538, 799, 454, 320, 1268, 14659, 1945, 454, 1729, 581, 519, 2013, 609, 610, 1510, 972, 1373, 12170, 2963, 454, 11907, 6591, 998, 454, 24709, 269, 31838, 31510, 5436, 4978, 1331, 1346, 454, 1729, 519, 15554, 657, 31190, 454, 268, 9978, 4978, 454, 263, 10193, 4122, 1572, 13654, 4978, 454, 528, 4295, 4978, 454, 264, 616, 267, 896, 454, 11398, 1049, 1143, 267, 519, 24936, 1682, 454, 1993, 513, 3661, 2483, 268, 3870, 267, 543, 11291, 1344, 454, 514, 513, 1259, 602, 25495, 454, 821, 781, 840, 1410, 12371, 4978, 454, 528, 19165, 269, 898, 568, 513, 1826, 540, 5042, 454, 321, 5362, 543, 513, 9836, 5470, 454, 268, 538, 519, 5935, 454, 322, 2753, 1436, 269, 7216, 6898, 454, 1993, 1898, 4978, 454, 26200, 519, 24347, 956, 595, 7517, 454, 326, 4319, 856, 540, 17194, 2483, 267, 703, 757, 267, 13821, 267, 4664, 267, 1702, 267, 3092, 23102, 1729, 13951, 267, 543, 547, 1866, 267, 543, 547, 1174, 454, 267, 13821, 267, 15752, 2483, 268, 12563, 3271, 2524, 267, 12563, 3661, 454, 529, 513, 3376, 9135, 454, 1993, 18691, 269, 901, 7121, 2882, 454, 320, 2647, 3099, 454, 1993, 5615, 267, 7215, 267, 543, 4978, 454, 1993, 519, 2470, 454, 1993, 1702, 267, 24134, 267, 543, 519, 7787, 640, 454, 269, 13518, 7521, 454, 514, 26381, 1108, 7740, 454, 517, 2185, 2127, 281, 630, 272, 264, 519, 10952, 2483, 268, 15316, 519, 2065, 7158, 454, 4754, 4125, 3661, 454, 514, 513, 2696, 610, 834, 326, 16104, 2668, 1358, 1331, 281, 7009, 6139, 1143, 267, 3661, 454, 514, 519, 29686, 454, 1993, 835, 5601, 1510, 27102, 454, 268, 634, 1072, 3661, 2203, 454, 263, 295, 13696, 264, 568, 513, 5626, 1072, 2623, 1689, 2203, 2919, 454, 8234, 5829, 5615, 267, 3226, 454, 13146, 590, 792, 2583, 4429, 16665, 2592, 547, 27801, 0, 347, 634, 21960, 2006, 568, 1634, 607, 519, 29042, 9697, 540, 8738, 2742, 269, 19949, 2147, 547, 519, 21960, 2006, 616, 4330, 538, 3504, 21487, 12591, 269, 645, 3305, 753, 941, 10723, 17308, 569, 7314, 540, 519, 10609, 1067, 4658, 540, 3504, 17289, 269, 634, 21960, 2006, 729, 2899, 1634, 607, 519, 22118, 343, 9697, 540, 5487, 657, 563, 294, 25995, 10960, 1763, 26443, 454, 294, 25995, 568, 594, 11343, 538, 4427, 25781, 4000, 543, 21269, 2066, 16977, 296, 344, 476, 275, 267, 4968, 4009, 11465, 296, 525, 269, 4107, 890, 641, 296, 324, 538, 717, 25995, 3717, 2296, 269, 21784, 2989, 2249, 1634, 689, 717, 25995, 1331, 519, 932, 574, 3966, 345, 2465, 267, 4414, 2051, 984, 639, 267, 543, 8187, 13928, 269, 634, 2551, 540, 717, 25995, 568, 827, 476, 272, 269, 277, 2929, 269, 634, 3854, 540, 717, 25995, 568, 14465, 329, 592, 269, 0, 24127, 13797, 9668, 4160, 543, 10845, 14646, 12826, 2421, 609, 3606, 4967, 676, 519, 2278, 2596, 2835, 513, 4759, 540, 519, 829, 22040, 2835, 1895, 910, 328, 268, 19165, 3823, 922, 1646, 476, 9965, 991, 585, 1079, 547, 22975, 540, 14774, 1416, 610, 547, 19944, 340, 885, 538, 513, 1126, 781, 2078, 609, 1010, 3993, 4137, 269, 5131, 1557, 281, 14646, 12826, 2421, 543, 14774, 22975, 12826, 2421, 5156, 602, 14774, 7180, 729, 15859, 633, 538, 3425, 607, 621, 5526, 547, 581, 538, 2831, 11299, 269, 3493, 337, 10474, 3406, 12826, 2421, 13613, 3069, 12826, 2421, 1126, 1646, 14646, 12826, 2421, 729, 513, 25164, 3315, 560, 630, 3697, 1954, 644, 264, 543, 5156, 602, 2790, 1072, 4539, 267, 7654, 1519, 15754, 1652, 2618, 14527, 12826, 2421, 781, 3069, 540, 27865, 16552, 3366, 547, 519, 19862, 540, 1010, 14774, 22975, 8367, 476, 273, 513, 1126, 269, 5900, 16670, 3069, 568, 519, 4745, 960, 540, 14646, 12826, 2421, 543, 29827, 513, 1231, 10290, 630, 513, 1231, 10290, 1299, 12826, 2421, 267, 476, 1960, 272, 3738, 12826, 2421, 729, 2111, 547, 3095, 741, 2589, 547, 12583, 540, 14774, 22975, 543, 9668, 4352, 1158, 512, 542, 267, 13886, 968, 606, 6268, 540, 16369, 1759, 2390, 519, 1523, 540, 3354, 2223, 29827, 2892, 614, 630, 476, 3707, 271, 264, 2829, 621, 269, 30558, 2421, 781, 14774, 22975, 8367, 2829, 602, 952, 606, 10867, 568, 8572, 547, 1106, 513, 3636, 267, 15982, 543, 6024, 2078, 609, 922, 3993, 610, 14774, 4137, 267, 1287, 519, 1126, 786, 723, 835, 540, 519, 1453, 267, 14646, 267, 729, 25374, 585, 693, 513, 10821, 21543, 543, 519, 824, 1453, 941, 25374, 585, 676, 513, 6536, 3993, 538, 1200, 1378, 1753, 563, 289, 25717, 2421, 781, 7778, 540, 13613, 267, 519, 2360, 540, 22975, 543, 3051, 566, 267, 543, 2436, 2942, 2360, 666, 6268, 519, 5933, 540, 11605, 723, 1044, 4767, 538, 513, 3126, 540, 7422, 5342, 676, 887, 828, 1206, 517, 835, 1507, 1126, 3957, 14646, 729, 476, 1704, 3275, 2025, 950, 646, 729, 519, 14774, 22975, 8367, 269, 476, 272, 3662, 2090, 602, 6766, 13613, 3069, 543, 1382, 281, 561, 648, 333, 345, 543, 3771, 869, 476, 273, 14646, 12826, 2421, 630, 5002, 278, 268, 1960, 271, 264, 476, 2641, 2038, 27367, 1686, 476, 2420, 14774, 22975, 476, 2537, 7418, 547, 13613, 3069, 476, 274, 29827, 513, 1231, 10290, 630, 4489, 274, 268, 476, 1960, 280, 264, 476, 275, 9490, 3510, 1299, 3270, 540, 13613, 476, 276, 4651, 30512, 3347, 269, 901, 1557, 786, 4766, 543, 6218, 12826, 2421, 781, 3069, 540, 13613, 543, 14774, 22975, 8367, 519, 1557, 786, 4766, 519, 1079, 6436, 267, 20604, 909, 519, 9342, 543, 519, 12755, 621, 786, 1331, 5885, 1382, 676, 695, 3530, 518, 543, 900, 3205, 267, 513, 1231, 10290, 543, 3771, 869, 267, 2059, 609, 30852, 676, 678, 13616, 14646, 12826, 2421, 563, 289, 25717, 2421, 781, 14774, 22975, 8367, 814, 1614, 3334, 513, 6024, 2078, 1063, 513, 6349, 281, 6268, 540, 1382, 883, 22975, 835, 9880, 540, 519, 14774, 1282, 799, 942, 519, 5234, 1185, 1360, 2370, 942, 547, 6108, 609, 14646, 547, 1445, 2390, 1010, 3929, 543, 2123, 2115, 14646, 729, 2083, 4364, 543, 519, 269, 769, 31261, 15033, 2686, 7648, 538, 13613, 267, 1519, 8709, 1775, 329, 345, 754, 334, 1941, 12826, 2421, 781, 3069, 540, 14774, 22975, 19005, 1014, 29152, 2090, 281, 2360, 540, 12250, 5314, 519, 3310, 540, 2038, 13613, 593, 6689, 543, 2937, 3347, 267, 1519, 519, 1909, 540, 606, 4835, 2324, 2203, 4816, 2183, 8367, 269, 30558, 2421, 781, 3069, 540, 13613, 621, 568, 7543, 547, 1353, 13613, 543, 1126, 1646, 1510, 6236, 12826, 2421, 781, 960, 1010, 6436, 593, 1010, 6436, 593, 13613, 543, 593, 14774, 22975, 723, 1044, 930, 540, 519, 1034, 9565, 12591, 593, 519, 1888, 2016, 519, 2470, 540, 1010, 15364, 8367, 519, 4835, 269, 5369, 15351, 24608, 1353, 540, 519, 1126, 267, 476, 1428, 281, 280, 268, 7367, 16236, 543, 31366, 538, 26638, 543, 2038, 6689, 14646, 12826, 2421, 267, 544, 323, 4367, 538, 513, 3105, 1957, 267, 602, 593, 9668, 4160, 630, 3422, 271, 1070, 1775, 11516, 3481, 13713, 519, 538, 1250, 2070, 713, 8367, 6589, 811, 4794, 26476, 1176, 982, 798, 1866, 585, 519, 4791, 5013, 607, 649, 29742, 873, 563, 16920, 16670, 3069, 12090, 538, 519, 960, 540, 519, 21099, 31897, 14646, 12826, 2421, 519, 960, 540, 2802, 5505, 899, 598, 2784, 561, 648, 333, 345, 729, 31369, 547, 12826, 2421, 781, 8367, 998, 942, 519, 14774, 22975, 8367, 814, 4607, 1082, 30852, 267, 5631, 1317, 1382, 814, 1336, 1007, 2963, 593, 519, 1764, 540, 269, 20895, 543, 6218, 12826, 2421, 781, 14774, 22975, 8367, 519, 1101, 2203, 540, 13613, 602, 14646, 12826, 2421, 2813, 729, 1572, 519, 14774, 22975, 8367, 621, 10645, 602, 621, 729, 1898, 585, 513, 1126, 781, 5626, 1072, 547, 1106, 606, 13613, 547, 922, 3993, 4137, 646, 1767, 602, 1412, 1492, 1762, 1126, 781, 14000, 585, 1010, 563, 5226, 514, 617, 9926, 630, 1960, 274, 264, 26342, 602, 12826, 2421, 781, 1935, 13514, 513, 4161, 547, 25164, 24608, 3069, 855, 15109, 602, 1010, 556, 3887, 1998, 6672, 540, 713, 3069, 267, 609, 21817, 543, 1033, 16670, 267, 3573, 6268, 540, 12826, 2421, 781, 8367, 540, 14774, 22975, 676, 678, 13616, 538, 519, 476, 3192, 271, 338, 543, 476, 2735, 271, 338, 6700, 602, 513, 2484, 563, 22832, 3574, 7291, 543, 6218, 12826 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 1065, 25730, 2221, 543, 513, 3046, 14141, 540, 2055, 23366, 5205, 281, 5808, 786, 581, 6976, 286, 1215, 1454, 786, 789, 581, 6976, 286, 5808, 786, 2628, 286, 1809, 952, 519, 4052, 885, 267, 711, 519, 5126, 267, 540, 1065, 25730, 616, 519, 3020, 23578, 1448, 267, 972, 814, 585, 930, 942, 1044, 519, 20297, 540, 513, 3070, 269, 1280, 519, 2250, 476, 1839, 1296, 267, 6837, 2006, 3627, 1230, 14636, 12789, 1421, 945, 4564, 519, 24354, 1858, 267, 814, 6825, 1169, 8400, 540, 6837, 676, 10962, 513, 3915, 10912, 585, 513, 18322, 1308, 1353, 540, 8474, 543, 922, 29886, 2360, 607, 1134, 607, 7840, 585, 2048, 14363, 14319, 10200, 589, 2197, 8049, 827, 875, 1065, 25730, 1522, 2965, 960, 814, 606, 2653, 3070, 538, 1230, 14636, 779, 3915, 267, 1631, 1572, 15679, 476, 2412, 267, 519, 8189, 547, 5530, 3115, 9653, 1160, 1842, 1023, 585, 3979, 4892, 2920, 269, 1284, 1131, 1489, 713, 3915, 267, 10505, 519, 2243, 547, 1353, 267, 543, 1287, 2708, 519, 2009, 3435, 269, 1809, 649, 616, 711, 5461, 1848, 1261, 1985, 12134, 713, 2243, 281, 968, 6546, 15679, 476, 2412, 814, 2760, 1765, 8974, 2901, 24273, 610, 25743, 1765, 18478, 621, 547, 519, 5600, 6989, 5267, 938, 4145, 616, 12082, 711, 538, 519, 791, 24411, 640, 540, 1065, 25730, 855, 538, 1945, 811, 16650, 269, 1403, 649, 9959, 602, 519, 2175, 538, 3345, 4521, 526, 1446, 543, 3109, 3013, 616, 711, 538, 1410, 2364, 762, 855, 616, 3079, 10502, 1018, 596, 8910, 2503, 540, 513, 2146, 602, 585, 5553, 814, 5030, 538, 3013, 779, 3444, 327, 4202, 267, 1287, 1018, 616, 649, 547, 1118, 540, 519, 1158, 779, 9510, 9111, 9495, 1261, 1287, 6645, 721, 267, 968, 3080, 3112, 9101, 519, 2243, 676, 1688, 2914, 3058, 693, 519, 2250, 267, 771, 822, 12976, 519, 6411, 540, 835, 779, 11937, 267, 6862, 676, 19696, 513, 2487, 4266, 540, 18577, 11776, 269, 634, 2063, 10553, 14516, 814, 1044, 4666, 585, 513, 1360, 1279, 942, 269, 634, 2063, 17199, 547, 22036, 9503, 1280, 613, 814, 1044, 4666, 1454, 3476, 269, 1677, 23217, 3409, 519, 25982, 543, 771, 1144, 519, 10553, 14516, 568, 32742, 20221, 3288, 7047, 324, 269, 589, 4182, 7979, 1161, 922, 5481, 269, 1284, 941, 711, 972, 950, 6115, 18084, 519, 26609, 267, 855, 661, 28609, 717, 2714, 12340, 321, 2274, 583, 2763, 779, 17021, 814, 2495, 547, 721, 269, 1284, 941, 711, 972, 950, 8381, 992, 14355, 3576, 721, 883, 2622, 2782, 594, 267, 855, 649, 616, 1869, 9878, 856, 519, 533, 5014, 269, 1403, 7338, 16962, 779, 21184, 6927, 267, 1287, 865, 1281, 1010, 2921, 540, 22123, 12920, 902, 779, 1560, 269, 1403, 6723, 6115, 15385, 519, 26609, 6927, 267, 865, 1590, 1010, 678, 3578, 1652, 13287, 540, 519, 2196, 698, 622, 744, 2284, 25960, 3034, 3891, 1985, 2306, 713, 3532, 1448, 281, 968, 1103, 476, 5002, 280, 267, 5518, 5261, 20999, 570, 10762, 5143, 519, 2197, 602, 2048, 842, 3485, 550, 685, 3043, 521, 719, 615, 2996, 941, 4712, 547, 1294, 17051, 607, 2048, 2224, 995, 2818, 540, 519, 2146, 10200, 589, 3018, 2663, 9478, 23583, 267, 513, 3109, 812, 267, 729, 561, 2106, 3481, 3544, 5682, 6229, 267, 14967, 269, 634, 1164, 1448, 540, 519, 561, 2106, 4221, 5736, 814, 5293, 269, 1809, 519, 8823, 540, 1346, 3775, 5523, 540, 741, 2729, 1869, 2661, 593, 538, 519, 29886, 2360, 269, 11569, 267, 538, 3013, 972, 568, 513, 9490, 543, 3532, 3661, 602, 952, 596, 588, 629, 513, 3109, 1268, 476, 1015, 2053, 267, 519, 11702, 13515, 543, 519, 7067, 5956, 519, 4090, 519, 1028, 841, 656, 12772, 519, 17180, 269, 1284, 3494, 3043, 17282, 547, 581, 513, 1249, 540, 519, 16931, 2250, 267, 513, 32592, 550, 7963, 602, 666, 581, 1500, 547, 14897, 952, 1152, 649, 1810, 1406, 1413, 3034, 2171, 1985, 1413, 693, 519, 9998, 1686, 540, 519, 2136, 2276, 269, 968, 25567, 320, 5956, 538, 3109, 726, 8974, 543, 3043, 9111, 267, 1079, 2934, 602, 616, 711, 30137, 855, 14911, 269, 2048, 763, 2367, 945, 3357, 1927, 547, 1336, 519, 4830, 2136, 2276, 267, 6131, 547, 5191, 543, 7862, 267, 2901, 4371, 10437, 610, 941, 8348, 547, 6443, 3946, 609, 1346, 945, 1705, 16224, 519, 14787, 31611, 590, 269, 21546, 5206, 269, 2048, 14085, 540, 873, 5433, 7357, 6899, 827, 519, 1249, 267, 855, 9444, 1705, 789, 1745, 3743, 585, 621, 269, 4107, 540, 873, 1185, 15110, 1312, 741, 10437, 543, 741, 13613, 547, 5191, 689, 606, 4505, 5108, 267, 543, 789, 6785, 519, 1079, 941, 711, 796, 8588, 10200, 1879, 20665, 20338, 267, 726, 1495, 1229, 540, 741, 4703, 267, 726, 1495, 1229, 540, 741, 3885, 267, 543, 726, 1495, 1229, 540, 741, 4074, 267, 941, 4547, 547, 519, 12733, 540, 9098, 538, 476, 14065, 280, 267, 789, 1705, 711, 7620, 22036, 519, 21736, 10168, 602, 1131, 1266, 5285, 741, 28738, 344, 269, 2368, 540, 873, 941, 15685, 269, 2368, 540, 873, 954, 3405, 3072, 269, 12846, 1866, 23012, 609, 519, 3043, 25034, 3293, 22063, 945, 1185, 11124, 607, 789, 1185, 269, 2368, 1256, 6450, 8215, 1927, 267, 620, 2391, 896, 26637, 1408, 32365, 547, 23290, 11918, 652, 1144, 538, 476, 15757, 277, 269, 1261, 5170, 609, 22950, 337, 2084, 1018, 31611, 21546, 5206, 281, 968, 12626, 8436, 547, 9098, 1336, 602, 922, 18544, 2048, 629, 2224, 741, 22700, 525, 609, 703, 565, 2401, 762, 15746, 543, 2182, 6165, 10200, 6519, 22063, 941, 1166, 690, 3022, 267, 8945, 539, 883, 7674, 3564, 741, 11731, 267, 543, 21775, 538, 1454, 519, 1482, 6073, 607, 10437, 269, 901, 2048, 14551, 6165, 685, 12090, 538, 513, 2241, 1249, 540, 519, 1715, 2622, 1765, 1633, 729, 3808, 1652, 855, 10464, 4074, 729, 3908, 269, 1306, 1272, 21269, 2799, 538, 519, 12733, 267, 519, 9098, 1544, 1562, 1336, 538, 519, 20665, 20338, 606, 1256, 811, 3608, 2707, 540, 10464, 4074, 269, 24641, 25034, 3293, 22063, 941, 1869, 3656, 5396, 540, 519, 2296, 13862, 543, 3976, 13886, 547, 1978, 20038, 267, 3979, 10437, 9411, 519, 10125, 607, 30659, 269, 1401, 3319, 539, 689, 519, 20038, 540, 519, 13862, 267, 789, 2968, 2038, 3013, 779, 16832, 2324, 1362, 1765, 7257, 585, 5021, 14226, 267, 5827, 540, 1152, 8766, 4187, 3034, 2171, 1985, 10250, 519, 1646, 540, 711, 1152, 8474, 855, 849, 7292, 1016, 24503, 566, 543, 10168, 3294, 269, 968, 2690, 519, 1985, 476, 7742, 1296, 267, 1977, 1876, 5249, 547, 2569, 3109, 1004, 547, 513, 1362, 540, 2150, 13224, 1963, 543, 6318, 782, 3043, 2367, 547, 519, 1377, 540, 4961, 269, 769, 476, 13679, 271, 267, 9098, 32486, 602, 2048, 718, 7606, 4849, 27740, 525, 685, 941, 547, 4163, 7916, 269, 769, 476, 14917, 275, 267, 15930, 32486, 602, 1022, 2296, 30513, 945, 9310, 513, 10553, 1590, 2661, 607, 513, 10553, 540, 1200, 9393, 779, 4487, 269, 769, 476, 10204, 276, 267, 519, 9098, 10198, 5293, 513, 1876, 3850, 585, 519, 10982, 1897, 618, 540, 796, 745, 569, 10437, 28559, 17246, 27570, 18544, 689, 627, 6235, 2048, 320, 4168, 3043, 22700, 21736, 267, 1510, 606, 1931, 689, 513, 5126, 540, 519, 4708, 10200, 769, 602, 1482, 1876, 267, 519, 12733, 32486, 602, 2048, 718, 9640, 267, 12418, 267, 543, 554, 9233, 267, 1631, 10362, 267, 610, 602, 1934, 12898, 4927, 4866, 547, 1022, 10553, 685, 581, 25868, 543, 4421, 1055, 676, 519, 2199, 5939, 267, 519, 12434, 1031, 547, 1489, 2048, 1492, 4057, 540, 519, 1767, 25110, 10200, 2311, 602, 942, 267, 972, 1131, 723, 1869, 1044, 1004, 9800, 945, 1223, 3314, 17051, 543, 16543, 11836, 547, 6633, 1524, 11918, 652, 1144, 1152, 476, 3066, 1296, 1354, 269, 1809, 693, 519, 4098, 540, 519, 476, 1240, 628, 2540, 267, 1079, 3119, 5049, 941, 1671, 15590, 1441, 538, 3013, 269, 2048, 763, 1079, 1390, 15523, 540, 2486, 616, 711, 519, 3638, 543, 4057, 267, 855, 3043, 543, 3109, 16224, 3627, 595, 269, 2836, 327, 1735, 267, 3162, 10491, 779, 9972, 6845, 1807, 267, 10294, 593, 519, 14130, 6989, 538, 476, 7277, 279, 269, 2048, 4517, 782, 519, 5449, 267, 519, 4057, 607, 1134, 607, 519, 3638, 267, 4866, 547, 519, 5580, 1362, 267, 543, 616, 15197, 543, 5701, 607, 11224, 10200, 769, 476, 5908, 271, 267, 519, 5354, 540, 1004, 2713, 538, 3162, 10491, 543, 14967, 267, 3592, 3368, 540, 1346, 2713, 538, 11908, 267, 543, 827, 835, 21017, 540, 782, 590, 719, 615, 2996, 941, 593, 519, 4636, 2427, 540, 2836, 327, 1735, 779, 1899, 269, 634, 1533, 609, 519, 4102, 1297, 540, 20665, 4892, 729, 9098, 267, 1141, 538, 1978, 17521, 930, 476, 3583, 2600, 540, 782, 1004, 2978, 1819, 538, 11800, 269, 27819, 835, 21144, 628, 540, 782, 3043, 590, 719, 615, 2996, 11262, 10437, 267, 543, 2390, 741, 19758, 519, 2804, 4493, 540, 3013, 11652, 1454, 540, 519, 9533, 1158, 1765, 13195, 25517, 269, 769, 519, 5722, 10412, 2829, 267, 835, 21017, 540, 782, 3043, 4747, 729, 6508, 689, 8474, 269, 1635, 476, 7277, 271, 267, 10412, 3812, 676, 10553, 4074, 27648, 476, 6795, 2600, 540, 519, 2197, 779, 18666, 269, 634, 1357, 540, 713, 10553, 2486, 6905, 5087, 547, 519, 3138, 1682, 540, 1715, 4789, 267, 543, 2066, 519, 9533, 547, 4279, 6628, 267, 1141, 621, 13324, 513, 1390, 2804, 7004, 543, 12012, 519, 18330, 540, 1158, 1686, 269, 2048, 8005, 1197, 3081, 11633, 7169, 16224, 5206, 519, 14787, 18238, 808, 269, 670, 10849, 321, 1177, 332, 267, 2048, 338, 904, 10412, 10200, 9232, 454, 10527, 5763, 11063, 539, 3013, 676, 8474, 729, 711, 1175, 538, 1018, 519, 10437, 15504, 689, 519, 2244, 855, 538, 519, 10437, 2933, 269, 2048, 1103, 476, 5908, 271, 267, 10437, 607, 606, 10697, 941, 4502, 811, 982, 782, 540, 3013, 779, 5663, 267, 782, 540, 519, 16456, 338, 267, 782, 540, 519, 11327, 4390, 540, 519, 2136, 2276, 2322, 1927, 16224, 519, 23171, 14787, 6424, 654, 269, 2349, 697, 814, 7074, 269, 2048, 20228, 2314, 941, 519, 2582, 4102, 267, 676, 2484, 267, 2883, 10697, 540, 3959, 538, 519, 3003, 1977, 4346, 10200, 634, 9042, 540, 891, 10437, 1765, 685, 514, 4171, 4703, 602, 2724, 598, 613, 4705, 16224, 11339, 19124, 9652, 267, 513, 12370, 14787, 1765, 10090, 730, 1256, 811, 606, 322, 16736, 5763, 269, 10753, 753, 941, 3144, 856, 585, 6718, 267, 547, 581, 1065, 4660, 609, 1719, 269, 15928, 4507, 941, 31751, 1996, 519, 2150, 830, 569, 2669, 540, 513, 10553, 543, 519, 2530, 540, 1761, 12434, 269, 32013, 6455, 941, 3454, 539, 543, 711, 541, 1242, 269, 634, 642, 2056, 540, 519, 3109, 1560, 543, 519, 647, 837, 532, 540, 519, 3109, 1920, 2968, 606, 4346, 21349, 2933, 267, 6059, 547, 723, 4547, 538, 9937, 540, 6634, 540, 9489, 547, 24970, 31616, 3013, 269, 769, 476, 5908, 271, 972, 941, 811, 2929, 320, 2231, 829, 21027, 538, 519, 14967, 9503, 982, 9170, 3116, 538, 519, 2197, 3034, 2005, 779, 2182, 547, 2097, 909, 609, 513, 968, 342, 528, 560, 2460, 892, 540, 8474, 267, 855, 15983, 519, 7142, 1920, 9668, 729, 835, 540, 873, 269, 968, 2690, 1027, 851, 902, 941, 1455, 538, 519, 24970, 31616, 3162, 269, 589, 10553, 538, 930, 2694, 540, 519, 3148, 11542, 513, 476, 1789, 2600, 4960, 540, 1373, 4421, 538, 1010, 610, 1200, 10715, 269, 26062, 19317, 2600, 540, 954, 8063, 23194, 10032, 513, 1101, 7365, 543, 3368, 540, 873, 10032, 513, 6046, 1920, 1848, 634, 1198, 540, 713, 729, 14042, 269, 968, 1103, 513, 942, 950, 26313, 941, 18642, 543, 17051, 26218, 5191, 540, 3350, 267, 519, 851, 532, 540, 3109, 3885, 729, 513, 2186, 540, 12638, 269, 3371, 649, 1265, 519, 5072, 540, 1977, 5763, 543, 9111, 24568, 519, 585, 17416, 9552, 540, 519, 1034, 1271, 10697, 2139, 547, 1022, 1004, 267, 519, 1920, 269, 634, 9552, 729, 711, 10071, 531, 547, 3013, 779, 4473, 282, 621, 19658, 602, 4473, 269, 1635, 16245, 532, 513, 10553, 2486, 267, 3013, 2813, 519, 2804, 5748, 585, 922, 1390, 4603, 538, 9111, 269, 634, 4074, 1193, 1057, 602, 6079, 539, 32365, 779, 18326, 729, 26793, 269, 3013, 779, 16832, 2324, 1362, 11478, 607, 3959, 3564, 519, 7706, 540, 6214, 267, 6028, 3043, 4892, 1863, 547, 25041, 564, 741, 2648, 540, 5191, 543, 11180, 2418, 3034, 3891, 1985, 11828, 8474, 607, 519, 2014, 540, 519, 6406, 2782, 269, 968, 763, 4539, 540, 476, 7742, 1296, 540, 17760, 29713, 267, 540, 2112, 2390, 3109, 3885, 543, 3109, 1004, 267, 941, 7096, 269, 6145, 1753 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7818, 268, 5881, 277, 32542, 276, 1704, 277, 1315, 4165, 1664, 1912, 517, 1748, 31055, 281, 1323, 16503, 3603, 3778, 1315, 30227, 595, 269, 28529, 10961, 1470, 267, 6723, 674, 269, 6754, 476, 5881, 277, 32542, 28590, 271, 1315, 476, 7818, 268, 5881, 277, 32542, 28590, 276, 1315, 3828, 12351, 11416, 700, 1030, 2023, 3624, 543, 11814, 630, 19913, 858, 518, 13639, 3778, 264, 1315, 27239, 19258, 517, 476, 5881, 277, 32542, 18357, 280, 1315, 476, 7818, 268, 5881, 277, 32542, 18357, 273, 1315, 670, 3121, 24656, 281, 634, 10348, 781, 19186, 636, 1315, 4460, 589, 269, 590, 269, 4563, 14315, 476, 5881, 277, 32542, 4343, 273, 278, 1315, 476, 7818, 268, 5881, 277, 32542, 4343, 273, 271, 1315, 4432, 6665, 3465, 2917, 6490, 528, 8494, 807, 281, 1323, 1133, 17769, 11814, 832, 6651, 630, 19913, 858, 518, 3883, 585, 11814, 832, 264, 1315, 1530, 534, 744, 262, 301, 7002, 476, 5881, 277, 32542, 28883, 275, 1315, 476, 7818, 268, 5881, 277, 32542, 28883, 275, 1315, 4436, 903, 7754, 345, 619, 769, 2622, 2782, 4083, 3245, 623, 345, 269, 918, 303, 293, 310, 15660, 547, 26286, 4083, 630, 19913, 858, 518, 3883, 585, 11814, 832, 264, 1315, 7338, 700, 269, 808, 550, 345, 267, 23664, 776, 700, 269, 667, 1195, 548, 476, 5881, 277, 32542, 3393, 275, 279, 1315, 476, 7818, 268, 5881, 277, 32542, 3393, 275, 275, 1315, 634, 3203, 540, 5253, 31493, 20567, 281, 5071, 338, 1299, 9828, 630, 19913, 858, 518, 5071, 3883, 264, 1315, 962, 18676, 18000, 476, 5881, 277, 32542, 5325, 273, 277, 1315, 476, 7818, 268, 5881, 277, 32542, 5325, 273, 279, 1315, 2372, 559, 1206, 543, 2372, 2830, 16234, 281, 15147, 532, 21086, 630, 19913, 858, 518, 3883, 585, 11814, 832, 543, 5071, 619, 267, 264, 1315, 476, 5881, 277, 32542, 5325, 274, 275, 1315, 476, 7818, 268, 5881, 277, 32542, 5325, 274, 276, 1315, 645, 22324, 14717, 4526, 781, 18237, 268, 10000, 21989, 2986, 634, 476, 4198, 271, 338, 1315, 476, 5881, 277, 32542, 4366, 276, 279, 1315, 476, 7818, 268, 5881, 277, 32542, 4366, 276, 279, 1315, 634, 8779, 2541, 3883, 281, 634, 6348, 268, 32153, 781, 6651, 547, 12333, 11778, 630, 19913, 858, 518, 3883, 585, 5071, 619, 264, 1315, 6307, 8738, 651, 24261, 476, 5881, 277, 32542, 2004, 280, 280, 1315, 476, 7818, 268, 5881, 277, 32542, 2004, 280, 272, 1315, 17623, 16972, 10046, 9791, 1299, 4033, 595, 10984, 545, 654, 4100, 281, 589, 29120, 3778, 540, 8000, 23065, 1299, 25609, 630, 19913, 858, 518, 3883, 585, 11814, 832, 4700, 1315, 5261, 670, 269, 11709, 22084, 330, 25184, 476, 5881, 277, 32542, 276, 1724, 278, 1315, 476, 7818, 268, 5881, 277, 32542, 276, 1724, 279, 1315, 476, 1911, 13012, 540, 23413, 11276, 645, 8986, 281, 589, 2578, 27812, 9919, 30503, 1674, 630, 19913, 858, 518, 3883, 585, 11814, 832, 264, 1315, 1546, 324, 670, 1442, 523, 9440, 267, 8751, 670, 1442, 523, 9440, 476, 5881, 277, 32542, 24062, 278, 1315, 476, 7818, 268, 5881, 277, 32542, 24062, 276, 1315, 18753, 670, 9007, 16019, 1315, 15776, 12340, 623, 2088, 267, 15776, 12340, 18237, 265, 320, 476, 5881, 277, 32542, 19054, 276, 1315, 476, 7818, 268, 5881, 277, 32542, 19054, 273, 1315, 9214, 323, 1043, 29571, 1963, 281, 2107, 333, 4442, 2480, 2651, 27517, 18768, 1315, 7671, 7313, 345, 338, 326, 2967, 267, 7671, 7313, 345, 326, 2967, 476, 5881, 277, 32542, 28906, 311, 1315, 476, 7818, 268, 5881, 277, 32542, 28906, 274, 1315, 634, 12624, 540, 661, 24346, 281, 634, 2782, 4144, 776, 540, 31578, 612, 966, 517, 6762, 628, 1993, 523, 630, 19913, 858, 518, 13639, 3778, 264, 1315, 590, 826, 674, 29531, 476, 5881, 277, 32542, 24374, 277, 1315, 476, 7818, 268, 5881, 277, 32542, 24374, 278, 1315, 5463, 528, 908, 717, 712, 1091, 281, 2961, 1324, 267, 8738, 940, 267, 27006, 1315, 590, 826, 27347, 476, 5881, 277, 32542, 28766, 278, 1315, 476, 7818, 268, 5881, 277, 32542, 28766, 273, 1315, 31410, 5414, 781, 18043, 18361, 540, 12870, 19371, 31245, 630, 19913, 858, 518, 3883, 585, 11814, 832, 264, 1315, 22526, 661, 269, 31410, 5414, 476, 5881, 277, 32542, 29204, 274, 1315, 476, 7818, 268, 5881, 277, 32542, 29204, 277, 1315, 4446, 333, 13910, 23467, 281, 5071, 14313, 585, 7033, 828, 31108, 670, 11817, 630, 19913, 858, 518, 5071, 3883, 264, 1315, 570, 2088, 16164, 1676, 267, 25414, 17713, 4802, 476, 5881, 277, 32542, 20065, 275, 1315, 476, 7818, 268, 5881, 277, 32542, 20065, 272, 1315, 5403, 332, 677, 655, 11814, 17156, 1315, 595, 269, 700, 269, 16019, 476, 5881, 277, 32542, 22430, 272, 1315, 476, 7818, 268, 5881, 277, 32542, 22430, 271, 1315, 590, 17139, 728, 3057, 7632, 630, 19913, 858, 518, 3883, 585, 11814, 832, 264, 1315, 26304, 589, 269, 13332, 267, 631, 269, 3798, 7773, 9796, 928, 476, 5881, 277, 32542, 30306, 275, 1315, 476, 7818, 268, 5881, 277, 32542, 30306, 279, 1315, 674, 550, 517, 19371, 3281, 754, 1756, 267, 476, 3192, 271, 268, 2735, 276, 630, 19913, 858, 518, 3883, 585, 11814, 832, 264, 1315, 3627, 12532, 476, 5881, 277, 32542, 31134, 276, 1315, 476, 7818, 268, 5881, 277, 32542, 31134, 274, 1315, 4165, 1664, 24334, 6182, 785, 619, 281, 1977, 267, 2296, 267, 1656, 3864, 1315, 7812, 700, 269, 6519, 267, 7225, 603, 589, 269, 590, 643, 25352, 476, 5881, 277, 32542, 4391, 272, 272, 1315, 476, 7818, 268, 5881, 277, 32542, 4391, 272, 275, 1315, 31410, 5414, 781, 12870, 19371, 281, 589, 7353, 4919, 13129, 2060, 31245, 630, 19913, 858, 518, 3883, 585, 11814, 832, 264, 1315, 22526, 661, 269, 31410, 5414, 267, 13343, 31410, 5414, 476, 5881, 277, 32542, 4343, 278, 279, 1315, 476, 7818, 268, 5881, 277, 32542, 4343, 278, 276, 1315, 10361, 667, 816, 540, 15875, 5125, 281, 476, 6642, 271, 268, 4489, 277, 1315, 6754, 9995, 619, 476, 5881, 277, 32542, 4343, 280, 275, 1315, 476, 7818, 268, 5881, 277, 32542, 4343, 280, 280, 1315, 631, 5456, 268, 3066, 22947, 15015, 630, 19913, 858, 518, 13639, 3778, 3883, 264, 1315, 21142, 681, 269, 29216, 476, 5881, 277, 32542, 4375, 274, 273, 1315, 476, 7818, 268, 5881, 277, 32542, 4375, 274, 277, 1315, 589, 13198, 1111, 342, 25377, 645, 558, 828, 15815, 582, 3816, 20047, 281, 2622, 2782, 476, 273, 689, 519, 595, 1442, 335, 527, 630, 19913, 858, 518, 13639, 3778, 264, 1315, 918, 5055, 639, 13206, 518, 6352, 476, 5881, 277, 32542, 32076, 279, 1315, 476, 7818, 268, 5881, 277, 32542, 32076, 274, 1315, 1977, 30166, 8132, 281, 634, 8549, 11270, 538, 519, 8361, 14731, 13660, 30716, 15604, 11037, 7467, 630, 310, 5793, 11037, 3883, 264, 1315, 8176, 674, 269, 27293, 454, 5415, 6168, 4635, 901, 13505, 543, 11370, 3539, 7734, 6732, 912, 6826, 17610, 547, 14424, 3883, 31245, 6969, 16179, 454, 1607, 3135, 729, 2813, 585, 6300, 11825, 547, 5635, 1433, 5777, 543, 1265, 10464, 2835, 454, 663, 10464, 2852, 9499, 269, 589, 2603, 540, 10958, 2835, 543, 10958, 1257, 2835, 454, 732, 2322, 593, 9042, 676, 1082, 31680, 1433, 21625, 543, 10958, 29481, 4948, 563, 2791, 1175, 991, 547, 3406, 543, 1265, 873, 269, 3776, 3135, 2488, 1082, 1433, 6402, 547, 454, 16341, 2101, 29481, 585, 1433, 3877, 543, 1433, 19420, 976, 269, 1809, 581, 2386, 711, 1175, 454, 329, 2794, 883, 1022, 21869, 648, 3135, 547, 4444, 269, 11408, 4945, 834, 24718, 12313, 257, 7735, 547, 454, 4818, 732, 5777, 1101, 269, 1411, 1131, 581, 6126, 602, 875, 1454, 596, 1223, 4688, 676, 3257, 454, 1504, 3902, 6476, 563, 24246, 7734, 689, 14579, 13474, 454, 5978, 3804, 568, 547, 1265, 519, 10464, 652, 2835, 543, 2852, 9499, 585, 596, 267, 1312, 454, 2908, 543, 1031, 2835, 267, 689, 513, 1804, 1297, 540, 29481, 5001, 269, 17497, 938, 454, 1504, 3406, 9817, 30321, 1433, 5777, 689, 2475, 267, 5177, 267, 4516, 267, 5245, 267, 1715, 10215, 2676, 301, 5930, 4133, 267, 8581, 267, 5125, 267, 5333, 267, 543, 3567, 269, 2859, 29481, 689, 824, 454, 12248, 1845, 786, 581, 3773, 4166, 269, 6969, 9140, 689, 513, 4914, 1433, 4558, 610, 1433, 454, 3333, 641, 267, 581, 2386, 547, 2638, 519, 11288, 3681, 269, 898, 781, 711, 8966, 602, 11288, 454, 322, 746, 1491, 476, 273, 910, 274, 4374, 543, 1942, 1223, 581, 2789, 540, 513, 6469, 11288, 5279, 563, 24246, 13242, 7734, 543, 13242, 7956, 9248, 454, 31807, 3539, 1031, 2835, 543, 1031, 9499, 568, 4742, 811, 543, 811, 2442, 1851, 454, 3712, 5076, 1053, 585, 9494, 269, 7756, 2034, 1688, 2835, 1223, 723, 1114, 454, 1718, 1431, 269, 2142, 2386, 2638, 1031, 1433, 2783, 689, 519, 22673, 781, 6609, 563, 9827, 1082, 1433, 2344, 17541, 2322, 2835, 585, 9042, 689, 1507, 29481, 543, 1367, 454, 8688, 619, 269, 5269, 2386, 547, 2638, 4558, 2689, 585, 22673, 781, 10639, 950, 2139, 563, 2252, 596, 616, 538, 513, 31657, 547, 1205, 513, 1433, 610, 1837, 585, 707, 1362, 267, 596, 1131, 1732, 454, 577, 5366, 9140, 1007, 2835, 585, 5401, 11288, 563, 8923, 6423, 6435, 8525, 585, 5999, 454, 2958, 8973, 9768, 1315, 9768, 268, 1015, 1315, 9768, 1015, 267, 9768, 268, 1724, 1315, 9768, 1724, 267, 661, 3198, 1315, 661, 3198, 268, 1724, 267, 543, 8835, 0, 763, 3540, 5314, 540, 3504, 3624, 8057, 909, 593, 519, 5757, 8492, 540, 18708, 268, 570, 572, 11860, 21628, 267, 670, 342, 836, 3620, 334, 543, 13961, 11860, 21628, 563, 763, 11585, 540, 3624, 9674, 621, 689, 824, 2477, 540, 519, 1158, 585, 513, 1279, 942, 563, 763, 7414, 7909, 538, 519, 7532, 267, 519, 5318, 25307, 29415, 538, 519, 7178, 9390, 267, 570, 1329, 22767, 543, 27245, 1014, 29415, 538, 519, 5087, 543, 519, 1390, 22615, 28569, 543, 519, 4104, 540, 23347, 332, 3547, 327, 538, 519, 5045, 1185, 9674, 3624, 689, 519, 3544, 1158, 585, 513, 1279, 942, 269, 634, 4457, 3540, 5314, 25577, 1373, 796, 8882, 1663, 10642, 676, 1022, 5007, 1764, 563, 763, 1686, 540, 3504, 3624, 568, 695, 709, 4765, 538, 9814, 269, 15907, 476, 10204, 271, 645, 5861, 269, 513, 15913, 3957, 17578, 836, 729, 8547, 538, 3624, 269, 2991, 602, 932, 340, 15913, 12199, 936, 3624, 269, 4438, 519, 12081, 540, 932, 340, 15913, 267, 513, 7123, 7245, 729, 3964, 538, 3624, 269, 13961, 268, 2662, 836, 6874, 328, 267, 519, 1390, 14610, 540, 713, 15913, 3710, 519, 4279, 9931, 540, 3624, 538, 1931, 547, 1788, 519, 2197, 689, 4914, 12289, 563, 8170, 1576, 267, 646, 10288, 547, 6633, 782, 519, 2835, 540, 3624, 4849, 1346, 2835, 7282, 6683, 267, 4915, 267, 31826, 585, 519, 5137, 540, 1007, 3332, 538, 3624, 269, 1306, 513, 1267, 540, 799, 1082, 3140, 5013, 7282, 3504, 3624, 1223, 711, 581, 4547, 547, 18654, 1769, 269, 2991, 932, 340, 15913, 267, 17710, 540, 12390, 267, 19358, 543, 590, 2426, 30552, 770, 625, 12199, 936, 3624, 563, 4263, 2063, 267, 3624, 729, 13026, 676, 519, 15216, 11169, 538, 476, 14096, 280, 645, 5861, 269, 9603, 547, 519, 12680, 540, 3037, 282, 6683, 729, 519, 8783, 13567, 540, 519, 4457, 1004, 269, 1924, 267, 519, 1004, 540, 3624, 616, 1572, 968, 293, 1301, 619, 540, 10783, 344, 2578, 3753, 9957, 9603, 547, 4430, 6360, 538, 519, 5757, 670, 342, 836, 3620, 334, 267, 621, 568, 1572, 607, 519, 2048, 306, 6563, 540, 3624, 9731, 4913, 267, 519, 17710, 540, 25590, 15913, 3710, 1082, 21394, 593, 519, 5757, 799, 19658, 585, 519, 14713, 540, 533, 23098, 267, 10568, 267, 2113, 2280, 267, 7401, 3092, 269, 28010, 543, 4837, 941, 2527, 1947, 1031, 538, 3624, 269, 634, 4457, 1004, 849, 6976, 3007, 585, 519, 2208, 540, 4123, 543, 16450, 267, 538, 1082, 2081, 789, 8329, 547, 519, 1158, 10340, 269, 0, 29910, 3557, 2160, 3173, 723, 2919, 513, 1970, 21057, 267, 15409, 8047, 593, 513, 6049, 602, 1568, 5176, 607, 1134, 607, 4791, 20682, 547, 3713, 1455, 10194, 543, 9190, 5563, 563, 763, 960, 1223, 1291, 547, 5488, 543, 2539, 21057, 2978, 2164, 585, 3728, 2173, 8221, 10194, 543, 9190, 8623, 12515, 267, 2523, 538, 6917, 610, 2539, 9113, 1830, 4525, 1141, 8047, 3937, 543, 2564, 10986, 616, 3006, 711, 11593, 2139, 563, 299, 539, 676, 2274, 328, 9149, 267, 13930, 7548, 538, 519, 3427, 540, 20996, 543, 10049, 7177, 267, 789, 723, 3370, 741, 960, 538, 519, 4760, 267, 7885, 3821, 932, 574, 3821, 2920, 320, 269, 21664, 609, 623, 532, 15651, 267, 12314, 7548, 540, 11202, 1108, 543, 12524, 6925, 693, 519, 2160, 540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3080, 538, 5216, 540, 938, 2551, 616, 20404, 267, 855, 938, 2797, 1062, 568, 530, 4141, 2685, 4630, 18100, 543, 1131, 581, 23353, 676, 3152, 4763, 267, 11339, 563, 7197, 1004, 4440, 1810, 1406, 29311, 602, 835, 538, 5216, 540, 519, 9721, 2551, 616, 20404, 269, 898, 568, 513, 2370, 8153, 1249, 602, 8581, 568, 711, 513, 2197, 8600, 585, 4763, 2443, 621, 568, 2907, 3309, 269, 8581, 568, 513, 4190, 267, 2212, 344, 7848, 540, 10080, 267, 5132, 338, 267, 2960, 18565, 267, 4654, 267, 543, 31126, 563, 763, 2601, 865, 1082, 1004, 1810, 1406, 29311, 713, 568, 1317, 540, 513, 3668, 540, 6041, 693, 1978, 2157, 540, 2486, 269, 1215, 1082, 1004, 689, 606, 6803, 12102, 4282, 798, 649, 1294, 3450, 938, 1453, 286, 1215, 1082, 554, 6359, 11274, 616, 593, 8613, 286, 1215, 1082, 1004, 609, 1875, 16927, 16194, 31126, 616, 4881, 585, 2797, 5604, 286, 19759, 569, 267, 711, 5176, 2614, 563, 300, 580, 7847, 3142, 3606, 2418, 267, 13055, 543, 11036, 267, 543, 538, 1931, 547, 8362, 7119, 538, 9721, 2486, 267, 20404, 1590, 581, 7298, 538, 782, 21384, 540, 9721, 1272, 269, 1284, 1810, 1406, 1175, 1616, 547, 1745, 649, 4866, 267, 649, 1616, 547, 581, 2938, 547, 4866, 2443, 513, 3844, 1480, 991, 269, 1284, 1616, 547, 4497, 538, 519, 2797, 1949, 543, 1745, 938, 9739, 616, 711, 1175, 4862, 855, 1293, 1932, 563, 17220, 1382, 814, 1336, 972, 616, 1614, 1292, 4128, 1946, 1004, 798, 711, 7119, 538, 6214, 912, 10303, 789, 798, 711, 1616, 547, 282, 5221, 789, 3112, 282, 610, 5221, 789, 798, 711, 917, 875, 563, 2690, 1346, 689, 513, 12102, 4282, 267, 1142, 540, 891, 1614, 6114, 666, 581, 3362, 5532, 547, 513, 11064, 27102, 7589, 2864, 982, 606, 7915, 7287, 547, 771, 1263, 720, 563, 8253, 16462, 547, 7119, 6920, 513, 3668, 540, 2797, 8446, 543, 1719, 2443, 538, 8581, 972, 616, 5393, 1906, 2797, 1909, 3631, 689, 513, 27540, 4282, 269, 3502, 1373, 2111, 547, 7119, 10522, 513, 3668, 540, 2200, 267, 971, 607, 942, 267, 2724, 543, 18523, 1983, 269, 1284, 917, 1004, 689, 513, 27540, 4282, 616, 811, 2693, 547, 581, 538, 1970, 6976, 6009, 543, 18633, 8027, 269, 14936, 267, 711, 6616, 875, 547, 7119, 5267, 606, 23696, 19684, 3060, 6322, 693, 20834, 2358, 4961, 538, 519, 2361, 540, 2797, 7589, 563, 16391, 31907, 971, 607, 519, 8056, 580, 7949, 7027, 540, 8581, 267, 589, 7288, 291, 342, 288, 267, 543, 23089, 540, 5842, 551, 4231, 2196, 2797, 7589, 2866, 543, 15961, 3358, 585, 20404, 267, 855, 2229, 4703, 543, 2199, 8128, 991, 547, 798, 1454, 811, 547, 4497, 609, 19366, 2950, 563, 2414, 4266, 267, 9721, 14761, 723, 2944, 2370, 547, 3914, 856, 547, 11082, 1282, 12836, 267, 4352, 1919, 616, 4098, 547, 2087, 269, 11048, 267, 519, 2956, 540, 14942, 4507, 547, 2087, 5610, 11148, 547, 581, 1970, 593, 519, 1592, 540, 14422, 585, 2797, 6105, 267, 543, 8197, 18923, 4991, 513, 2446, 538, 1932, 1082, 5428, 8915, 657, 563, 4263, 519, 1034, 2596, 1377, 267, 1082, 1004, 267, 1519, 20404, 2933, 267, 1810, 1406, 29311, 1034, 1004, 689, 513, 27540, 4282, 2713, 538, 8581, 723, 519, 1318, 547, 8917, 269, 8581, 568, 7168, 11636, 593, 713, 4395, 269, 4595, 476, 3422, 274, 267, 8581, 814, 4847, 20404, 547, 8917, 538, 2199, 12836, 267, 543, 2094, 476, 3192, 275, 267, 20404, 723, 1044, 4847, 547, 1796, 585, 2199, 9550, 563, 12179, 821, 945, 814, 1044, 513, 17055, 540, 519, 2197, 585, 3670, 3275, 666, 8917, 543, 2196, 585, 2199, 9550, 269, 1656, 4896, 666, 6443, 513, 2797, 5428, 269, 1703, 568, 513, 2816, 540, 960, 799, 1590, 581, 2944, 547, 3895, 891, 2924, 547, 519, 27540, 2551, 563, 2026, 1134, 607, 16706, 938, 1318, 547, 8917, 267, 649, 849, 1616, 547, 581, 9308, 6719, 538, 3375, 6194, 5107, 676, 1004, 945, 1413, 543, 3280, 899, 721, 267, 538, 8167, 547, 938, 1297, 538, 519, 9721, 2551, 563, 300, 580, 7847, 616, 16094, 26173, 538, 6214, 543, 5103, 20834, 5314, 11044, 267, 519, 2338, 4881, 723, 711, 4824, 936, 519, 1296, 563, 25387, 267, 1175, 1614, 856, 540, 476, 280, 5392, 5646, 322, 650, 832, 630, 271, 269, 273, 8472, 616, 689, 513, 27540, 4282, 269, 8581, 814, 1175, 835, 570, 291, 689, 513, 27540, 4282, 267, 945, 568, 513, 2067, 2213, 9721, 12504, 269, 2290, 540, 519, 1292, 4128, 585, 713, 568, 513, 3668, 540, 1719, 689, 2797, 6105, 538, 8362, 16461, 1746, 27540, 10457, 269, 1280, 1932, 1279, 267, 543, 585, 1932, 1082, 6105, 267, 519, 9949, 19684, 1184, 814, 1044, 998, 2123, 4296, 610, 15376, 11479, 267, 609, 1100, 605, 268, 5562, 15961, 2519, 593, 16461, 1746, 20404, 563, 2467, 941, 930, 8942, 1500, 538, 547, 1489, 20404, 547, 2196, 538, 2199, 12836, 538, 476, 1220, 280, 267, 855, 19890, 267, 9039, 540, 519, 27540, 10457, 729, 11221, 267, 6862, 941, 789, 14059, 1586, 585, 519, 476, 1001, 275, 9550, 269, 901, 1970, 2490, 719, 8507, 538, 513, 6175, 540, 20834, 5314, 3646, 676, 2797, 6105, 563, 4913, 267, 2487, 7341, 689, 930, 540, 519, 2797, 6105, 1683, 4126, 602, 519, 2797, 26750, 568, 4657, 922, 14820, 269, 769, 1931, 547, 3927, 20834, 1047, 519, 27540, 2146, 267, 1312, 513, 1283, 16365, 543, 5377, 5346, 1935, 568, 2877, 269, 2334, 1797, 3646, 689, 519, 1699, 2797, 16918, 547, 9797, 3895, 543, 4497, 27540, 7589, 7132, 6278, 689, 27540, 2146, 3401, 609, 3964, 2797, 3889, 269, 7102, 27540, 20834, 5314, 10325, 1590, 849, 11760, 519, 4161, 540, 10168, 607, 513, 3815, 7133, 7589, 267, 543, 9772, 3800, 547, 605, 19840, 1947, 8396, 621, 563, 1607, 3668, 540, 6041, 568, 1946, 513, 1895, 540, 27540, 21445, 543, 27540, 2924, 14540, 3893, 1927, 547, 3180, 513, 2797, 20834, 5314, 10554, 269, 634, 20353, 7949, 22994, 559, 5314, 10985, 729, 24973, 22555, 676, 589, 7288, 291, 342, 288, 267, 8056, 580, 7949, 7027, 540, 8581, 267, 1715, 18877, 26844, 267, 23089, 540, 5842, 551, 4231, 267, 4139, 25944, 585, 24779, 267, 595, 1515, 1372, 267, 1284, 8240, 3873, 267, 543, 17072, 2717, 8205, 267, 609, 519, 1489, 540, 8433, 585, 519, 8871, 10056, 540, 20353, 7949, 16949, 563, 17809, 4575, 513, 3760, 585, 8994, 1565, 729, 519, 1883, 547, 922, 1967, 269, 4706, 12242, 3853, 540, 519, 2680, 941, 547, 5000, 811, 1004, 689, 513, 27540, 4282, 547, 1205, 3238, 609, 2199, 6214, 267, 1451, 827, 28056, 14261, 543, 875, 547, 2196, 585, 2199, 12836, 269, 1230, 9690, 569, 267, 649, 849, 1616, 1346, 2907, 3238, 538, 519, 2797, 1062, 547, 1451, 689, 519, 27540, 2146, 3401, 945, 13984, 563, 5978, 2797, 1062, 568, 530, 4141, 2685, 4630, 18100, 543, 1131, 1312, 4324, 543, 581, 23353, 676, 3152, 4763, 563, 19102, 1078, 4763, 543, 1114, 5380, 786, 1628, 513, 6793, 267, 811, 3309, 543, 6038, 811, 14436, 2797, 1062, 267, 4324, 1154, 519, 2898, 540, 2486, 269, 16593, 2685, 267, 649, 786, 1294, 811, 2621, 899, 713, 799, 786, 1217, 267, 18663, 543, 20834, 1047, 519, 27540, 2551, 547, 971, 606, 6708, 602, 2797, 6105, 786, 8362, 15313, 689, 519, 27540, 2146, 563, 10144, 689, 513, 27540, 4282, 616, 513, 8628, 4183, 538, 9721, 2486, 269, 1284, 4866, 267, 543, 649, 1616, 547, 7119, 538, 519, 3375, 6194, 3889, 602, 27774, 23600, 267, 543, 3025, 779, 267, 2729, 563, 21946, 727, 25253, 1872, 7699, 568, 1284, 8240, 3873, 2212, 540, 5692, 267, 8956, 776, 7022, 540, 589, 7288, 291, 342, 288, 267, 543, 9930, 3990, 10243, 518, 609, 519, 9721, 5274, 7126, 543, 25734, 8189, 269, 0, 4910, 1545, 6462, 676, 519, 5903, 4199, 666, 581, 24267, 1107, 9967, 540, 1152, 835, 1826, 540, 4199, 630, 324, 3052, 269, 14711, 8638, 264, 607, 1134, 607, 26945, 1107, 5627, 513, 3099, 540, 2200, 630, 324, 3052, 269, 513, 1966, 1592, 1519, 17148, 267, 30665, 4504, 11217, 1734, 267, 2487, 30332, 267, 3092, 28593, 299, 1235, 786, 3335, 1331, 8100, 547, 519, 2200, 602, 1118, 909, 519, 1592, 267, 2705, 538, 930, 2665, 519, 3877, 540, 519, 1543, 540, 519, 1592, 1522, 581, 6829, 538, 2239, 1152, 282, 552, 3052, 269, 513, 1257, 2594, 540, 513, 1920, 1686, 269, 634, 5903, 4199, 568, 1152, 2877, 952, 972, 568, 513, 991, 547, 6882, 519, 1305, 540, 2200, 676, 513, 7271, 602, 3112, 581, 12913, 3842, 513, 2241, 13214, 282, 552, 3052, 269, 972, 568, 1100, 991, 547, 723, 513, 1592, 585, 782, 30665, 4504, 11217, 1734, 602, 2291, 593, 513, 7746, 585, 513, 2016, 3461, 269, 1717, 267, 5903, 568, 606, 3617, 7271, 547, 1683, 513, 22012, 1592, 540, 519, 15410, 540, 30665, 2271, 11217, 1734, 602, 616, 16363, 547, 581, 968, 9690, 6100, 700, 1235, 616, 4847, 547, 2270, 824, 700, 1235, 267, 547, 1711, 513, 29005, 4015, 540, 700, 1235, 563, 5226, 2044, 532, 513, 5903, 540, 2200, 971, 607, 30665, 2271, 16260, 267, 16448, 610, 2405, 1709, 5829, 2200, 568, 1114, 982, 13214, 532, 519, 4199, 10391, 1439, 4812, 269, 1280, 1383, 267, 513, 5903, 540, 30665, 2271, 16260, 2200, 1131, 2099, 513, 26940, 1448, 2987, 6066, 25135, 14653, 540, 519, 3461, 779, 11959, 543, 703, 11217, 1734, 269, 2201, 519, 824, 1688, 267, 13214, 532, 519, 30665, 2271, 16260, 1439, 4812, 1131, 3335, 3132, 513, 3677, 1305, 540, 5638, 607, 621, 1131, 1312, 581, 1875, 268, 2017, 730, 630, 13607, 1113, 569, 5627, 26134, 610, 856, 6361, 15082, 5638, 264, 543, 1699, 1107, 6383, 1759, 593, 1344, 607, 540, 968, 852, 892, 2864, 982, 519, 2063, 942, 513, 1480, 16924, 15428, 519, 5903, 4199, 3236, 269, 6904, 7271, 568, 1034, 3617, 585, 1239, 23023, 786, 4268, 676, 946, 30924, 269, 769, 930, 2665, 267, 1949, 1522, 711, 723, 606, 3617, 26940, 5903, 547, 13214, 563, 9616, 602, 519, 4527, 540, 606, 6221, 538, 513, 5903, 4199, 4927, 711, 1689, 519, 2495, 540, 1022, 1344, 602, 1131, 581, 6956, 676, 3168, 693, 519, 6221, 3544, 519, 2796, 540, 519, 5903, 267, 1317, 3688, 949, 581, 15600, 2047, 3544, 519, 5903, 676, 681, 12239, 995, 1797, 610, 1310, 513, 3561, 568, 9268, 269, 1280, 1383, 267, 513, 5903, 609, 513, 3009, 602, 1797, 968, 10915, 3176, 2175, 892, 3112, 723, 3688, 602, 616, 16448, 2200, 602, 798, 711, 723, 513, 19027, 21073, 540, 1201, 3176, 563, 763, 5903, 4199, 1107, 679, 10179, 919, 513, 6366, 4015, 540, 2200, 543, 2488, 2934, 585, 5883, 519, 4015, 269, 2755, 513, 1880, 5903, 3236, 949, 2099, 513, 968, 338, 333, 2355, 14653, 5608, 689, 513, 1870, 1184, 5133, 519, 10206, 540, 968, 8266, 892, 568, 6422, 1107, 3688, 616, 3773, 543, 6569, 936, 942, 269, 634, 5903, 4199, 8100, 824, 2200, 269, 700, 1235, 949, 581, 26940, 543, 723, 1808, 1870, 2495, 269, 0, 763, 11944, 538, 476, 1220, 274, 540, 513, 1007, 11452, 630, 10870, 309, 264, 3743, 585, 519, 693, 2988, 673, 16415, 17941, 4049, 8650, 7929, 6794, 630, 306, 12678, 264, 729, 513, 22880, 12576, 602, 554, 2416, 1729, 7164, 8290, 723, 519, 1761, 547, 3444, 2249, 7496, 547, 1831, 1007, 1480, 13596, 269, 3371, 649, 4766, 519, 16568, 17336, 1412, 4944, 833, 262, 2497, 5462, 676, 2582, 12268, 1834, 3956, 334, 268, 4932, 267, 2059, 609, 519, 546, 18088, 10570, 3889, 540, 519, 13805, 1532, 4193, 6389, 543, 4776, 4288, 4295, 563, 763, 2627, 3940, 267, 610, 1412, 4944, 833, 10086, 540, 17158, 539, 8290, 568, 606, 1898, 5057, 585, 3968, 540, 519, 3984, 1591, 267, 3743, 585, 1312, 11006, 547, 10408, 13364, 543, 7766, 12760, 540, 10194, 543, 10408, 17011, 269, 8426, 13613, 543, 7127, 616, 2629, 3252, 7133, 519, 3984, 2039, 543, 1591, 21050, 1143, 540, 10194, 5563, 269, 674, 4288, 568, 6913, 998, 14883, 1049, 2242, 538, 519, 12760, 4295, 540, 519, 21782, 11140, 272, 267, 3850, 7127, 540, 10194, 7576, 665, 2355, 1749, 883, 519, 3984, 1591, 547, 20006, 18643, 269, 20840, 822, 21905, 4122, 2014, 5266, 7646, 7929, 5563, 538, 3425, 273, 267, 543, 741, 21782, 3940, 3947, 891, 8290, 741, 10058, 13862, 6438, 5920, 274, 269, 27649, 26389, 616, 16013, 20143, 5895, 983, 5946, 5111, 476, 5611, 3331, 483, 538, 8006, 543, 616, 7923, 547, 519, 2205, 542, 23508, 676, 513, 7522, 31537, 630, 8993, 269, 476, 272, 1040, 769, 16568, 17336, 267, 519, 21782, 814, 513, 2527, 540, 827, 476, 4335, 737, 291, 320, 274, 267, 1818, 621, 519, 4102, 1826, 476, 272 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7132, 7574, 640, 267, 24754, 4656, 267, 27906, 5314, 267, 543, 2241, 7544, 3268, 538, 713, 1362, 269, 3223, 5942, 19933, 568, 606, 5140, 4367, 547, 519, 1158, 540, 7544, 2336, 11390, 5942, 19933, 589, 281, 12698, 476, 273, 1700, 274, 1923, 3223, 5942, 19933, 645, 281, 12698, 476, 275, 1700, 276, 454, 8110, 18504, 543, 932, 648, 2762, 454, 8110, 18504, 543, 932, 648, 2762, 568, 513, 1187, 543, 19253, 894, 7544, 1362, 602, 3096, 27906, 5314, 3756, 607, 513, 1907, 547, 1711, 3350, 267, 3986, 5876, 267, 543, 5401, 1007, 2093, 269, 16497, 538, 2596, 5888, 5351, 538, 519, 5137, 540, 835, 779, 1378, 7544, 538, 513, 17159, 543, 11215, 1604, 269, 901, 1362, 568, 5140, 585, 1053, 602, 6999, 547, 1831, 1732, 22407, 998, 519, 3408, 540, 741, 1378, 5322, 543, 25287, 2762, 563, 1607, 2606, 7148, 1362, 6227, 782, 519, 4992, 543, 3268, 2877, 547, 1628, 513, 4909, 7148, 7544, 6863, 269, 901, 1362, 11414, 2609, 540, 11733, 267, 3337, 267, 543, 14555, 998, 2066, 519, 6989, 5751, 543, 2236, 2084, 269, 4841, 960, 609, 2789, 6163, 540, 2575, 267, 609, 513, 5230, 8561, 593, 15690, 267, 2443, 320, 2673, 3448, 540, 7148, 7544, 23121, 3605, 875, 1082, 7399, 585, 25287, 2762, 543, 2575, 9114, 1369, 519, 7148, 7544, 9135, 563, 307, 7275, 2763, 19933, 476, 272, 267, 476, 273, 454, 763, 3004, 701, 2763, 19933, 476, 272, 543, 476, 273, 5049, 4001, 1053, 875, 547, 18214, 267, 538, 3200, 267, 5066, 267, 543, 2490, 1169, 799, 1259, 593, 2789, 911, 701, 2763, 15457, 520, 4926, 269, 4841, 1451, 875, 547, 1847, 827, 593, 519, 911, 701, 2763, 609, 11419, 543, 8897, 1247, 11543, 4222, 543, 1852, 269, 4841, 1451, 547, 946, 519, 3046, 543, 887, 6647, 547, 10460, 267, 538, 3200, 267, 3666, 267, 543, 6749, 883, 13858, 7158, 609, 11419, 543, 8897, 1247, 11543, 4222, 543, 1852, 563, 5629, 1053, 1332, 6899, 609, 21088, 960, 267, 789, 1451, 547, 960, 538, 6887, 563, 307, 7275, 2763, 476, 272, 281, 30488, 1445, 593, 1697, 1560, 2990, 267, 4887, 6165, 267, 2596, 7158, 267, 543, 4909, 21356, 563, 307, 7275, 2763, 476, 273, 281, 11628, 1053, 1451, 811, 2352, 1983, 267, 25287, 2762, 267, 543, 26274, 269, 0, 1805, 7806, 15572, 545, 543, 4620, 5766, 1429, 545, 1353, 540, 476, 3953, 6810, 540, 519, 8585, 1356, 543, 1230, 7224, 638, 8864, 532, 21272, 1496, 303, 523, 985, 10944, 1014, 316, 538, 7262, 12425, 814, 3254, 602, 1978, 5812, 3347, 2291, 1063, 519, 4527, 610, 9000, 540, 1164, 17038, 29837, 8585, 1356, 10036, 543, 519, 14404, 19973, 543, 4620, 5766, 1429, 344, 540, 5817, 856, 23145, 6137, 5070, 18429, 269, 769, 6810, 1141, 1166, 842, 610, 1019, 5684, 648, 804, 904, 616, 1459, 267, 519, 10036, 568, 896, 331, 664, 676, 476, 271, 268, 5611, 10264, 269, 540, 5386, 3562, 2173, 539, 1756, 3766, 11712, 267, 1360, 1769, 3766, 2001, 2539, 1230, 7224, 638, 8864, 532, 32498, 269, 769, 6810, 1141, 5068, 10036, 610, 3623, 1399, 10036, 7723, 2049, 2630, 519, 8585, 1356, 5755, 267, 519, 10036, 568, 896, 331, 664, 676, 476, 736, 268, 5611, 10264, 269, 540, 5386, 3766, 11712, 547, 598, 6921, 9593, 1738, 267, 5420, 2000, 697, 3766, 2001, 5580, 1230, 7224, 638, 8864, 532, 32498, 269, 634, 3892, 540, 519, 1164, 17038, 29837, 10036, 568, 5156, 547, 581, 1644, 547, 3504, 1283, 4919, 1164, 338, 1141, 1166, 842, 10036, 729, 20024, 2047, 593, 519, 2539, 1230, 7224, 638, 8864, 532, 32498, 269, 634, 5580, 1230, 7224, 638, 8864, 532, 32498, 729, 20024, 538, 11105, 1283, 4919, 1970, 338, 267, 1247, 519, 1166, 842, 10036, 1869, 1459, 593, 519, 1283, 4919, 1164, 338, 729, 682, 3737, 547, 1106, 1019, 5684, 648, 269, 19791, 1141, 519, 5580, 1230, 7224, 638, 8864, 532, 32498, 568, 6094, 610, 15534, 1131, 581, 519, 1034, 15028, 4525, 585, 2417, 19175, 532, 585, 1164, 17038, 29837, 8585, 1356, 10036, 538, 7262, 12425, 269, 0, 6624, 3610, 616, 8149, 547, 4543, 741, 1053, 5968, 609, 3077, 1893, 2950, 267, 4497, 609, 15520, 8076, 5931, 267, 543, 2263, 4081, 1543, 689, 824, 10459, 269, 1717, 267, 891, 2010, 540, 5042, 569, 14053, 2238, 1711, 1713, 2591, 585, 4098, 6267, 945, 723, 711, 2943, 2919, 1164, 2157, 540, 10409, 15334, 269, 634, 3483, 540, 713, 13186, 568, 547, 6542, 875, 21934, 13783, 666, 581, 1031, 607, 513, 1907, 547, 6707, 2232, 519, 2591, 2404, 609, 1210, 519, 3077, 1893, 607, 513, 1907, 585, 1565, 538, 4098, 2157, 269, 634, 13186, 786, 5581, 21934, 13783, 267, 5031, 1883, 20887, 827, 21934, 13783, 267, 2709, 3741, 585, 2870, 2500, 21934, 13783, 267, 543, 6542, 513, 2647, 3099, 540, 4052, 2994, 585, 1210, 1114, 2010, 540, 21934, 13783, 547, 1489, 6267, 538, 6707, 14379, 2066, 519, 1614, 12331, 540, 2792, 563, 290, 615, 823, 27293, 6585, 513, 1912, 6185, 269, 538, 15099, 267, 9752, 267, 543, 12409, 8889, 609, 606, 8561, 538, 4804, 267, 5303, 267, 1299, 9177, 689, 12309, 3557, 2160, 269, 4173, 1382, 7710, 519, 1761, 540, 6037, 3438, 2329, 267, 1514, 4066, 267, 543, 1374, 2861, 15338, 690, 625, 585, 7133, 1689, 538, 1158, 1893, 4116, 2069, 543, 3318, 1646, 563, 290, 615, 823, 779, 3318, 18129, 723, 3769, 519, 1374, 543, 1795, 10949, 540, 513, 3099, 540, 9886, 30845, 4832, 32112, 543, 1357, 21577, 6322, 693, 4543, 1158, 1893, 7855, 547, 1020, 1983, 538, 29013, 267, 5718, 267, 27380, 267, 1788, 2861, 1893, 1565, 267, 543, 2029, 269, 2701, 814, 849, 6039, 607, 1071, 7302, 1515, 540, 519, 20554, 14566, 623, 15501, 548, 584, 3194, 13815, 9730, 267, 607, 606, 28007, 4604, 4759, 585, 1896, 1114, 5678, 12754, 15544, 267, 543, 607, 513, 4759, 540, 519, 1715, 966, 2888, 538, 14579, 5678, 4065, 17130, 10414, 269, 4173, 960, 568, 5483, 676, 513, 3309, 5044, 540, 918, 268, 1626, 3450, 2833, 267, 543, 1352, 814, 1044, 28165, 609, 1896, 17758, 585, 17284, 538, 3450, 267, 1519, 519, 17857, 14579, 5678, 11819, 540, 519, 5729, 13815, 563, 290, 615, 823, 4867, 10974, 519, 5053, 9752, 11683, 5358, 693, 5696, 662, 600, 8479, 2160, 267, 1141, 1352, 11414, 10927, 543, 15938, 6030, 538, 4879, 267, 1893, 3450, 2409, 267, 543, 2029, 267, 543, 23003, 3610, 3823, 12242, 1893, 21599, 543, 7924, 1646, 269, 0, 2005, 779, 3502, 513, 25779, 19402, 621, 779, 18838, 2336, 2421, 20717, 700, 4883, 5839, 4486, 454, 8855, 267, 1018, 596, 1205, 676, 8757, 707, 10278, 3884, 1406, 5176, 607, 1271, 607, 1018, 596, 1831, 676, 8757, 707, 3853, 910, 6343, 596, 786, 1831, 568, 519, 16771, 596, 941, 4535, 547, 581, 256, 9625, 313, 580, 2098, 580, 24882, 454, 7069, 3689, 7402, 3300, 609, 17644, 454, 296, 723, 2141, 1044, 19832, 609, 3853, 269, 594, 1589, 621, 568, 1317, 950, 594, 729, 538, 1647, 1153, 1142, 2875, 729, 2838, 547, 1305, 9740, 3853, 1169, 10116, 269, 1284, 849, 1185, 513, 3804, 5750, 693, 938, 11380, 799, 1131, 7618, 721, 540, 875, 1454, 649, 1185, 12913, 269, 1879, 649, 6603, 513, 3804, 649, 941, 2111, 547, 1747, 513, 695, 20810, 532, 5182, 593, 938, 5750, 269, 1656, 7911, 1705, 649, 2648, 547, 1294, 1346, 6801, 2333, 269, 634, 811, 6801, 649, 4718, 593, 938, 5750, 519, 811, 12592, 649, 941, 547, 3914, 938, 3804, 563, 7883, 1023, 5288, 269, 654, 1218, 454, 296, 1589, 3853, 616, 1271, 269, 1809, 1810, 1406, 1175, 1491, 1250, 2262, 585, 621, 267, 1082, 1382, 2090, 6166, 602, 4259, 3853, 4679, 8404, 543, 9740, 269, 1411, 949, 581, 11842, 267, 968, 1432, 4010, 568, 513, 3804, 9495, 589, 3804, 568, 606, 2832, 610, 5551, 1267, 269, 898, 779, 1945, 602, 596, 1616, 2614, 602, 596, 1118, 606, 4674, 547, 3914, 621, 269, 589, 3804, 568, 811, 982, 513, 1616, 269, 1411, 666, 968, 342, 656, 892, 1945, 267, 899, 1732, 9344, 267, 855, 711, 960, 4724, 3478, 621, 269, 1403, 596, 616, 711, 2324, 547, 1205, 621, 267, 621, 568, 711, 513, 3804, 563, 1692, 17644, 2052, 6435, 1411, 454, 2467, 616, 1082, 2081, 547, 946, 3804, 4259, 538, 707, 1272, 256, 3371, 616, 513, 1906, 1806, 912, 2791, 666, 946, 3853, 547, 948, 596, 3251, 12592, 454, 2791, 666, 946, 3853, 547, 2087, 707, 4081, 2773, 454, 2791, 666, 946, 3853, 547, 948, 596, 2087, 707, 1915, 454, 2791, 666, 946, 3853, 547, 2333, 707, 1582, 21873, 454, 2791, 666, 946, 3853, 547, 2333, 11348, 543, 9547, 538, 707, 18942, 2773, 454, 301, 14566, 8065, 540, 5482, 518, 2506, 18283, 8055, 14437, 827, 519, 2956, 540, 3853, 538, 1010, 8065, 540, 674, 877, 16594, 269, 1261, 1767, 267, 968, 296, 5206, 1524, 1250, 3853, 543, 875, 594, 729, 2469, 547, 3035, 873, 1317, 667, 342, 697, 7338, 1031, 547, 2995, 721, 267, 2048, 2005, 779, 1152, 513, 5326, 2394, 596, 2328, 621, 1524, 267, 543, 1287, 621, 3587, 513, 3804, 9957, 1635, 519, 942, 594, 729, 476, 736, 267, 594, 5206, 267, 594, 1616, 547, 1404, 538, 519, 8111, 30558, 267, 581, 519, 631, 29262, 267, 1831, 519, 782, 6066, 3056, 678, 639, 615, 267, 543, 9096, 2852, 267, 1317, 594, 16219, 1250, 3993, 594, 1131, 269, 3683, 519, 1576, 540, 1250, 4876, 267, 782, 540, 1346, 1919, 3357, 547, 1780, 267, 543, 594, 917, 602, 1603, 1524, 1250, 3853, 729, 606, 1898, 4640, 1848, 0, 10743, 1058, 581, 2111, 547, 1374, 543, 1711, 513, 22369, 547, 4194, 513, 2016, 1966, 563, 10743, 1058, 581, 2111, 547, 912, 763, 2702, 547, 1711, 543, 946, 18580, 1115, 814, 1831, 1898, 585, 782, 3238, 609, 2883, 2359, 267, 1382, 267, 543, 1082, 824, 5010, 2238, 269, 24619, 9917, 1115, 723, 519, 5413, 602, 1034, 666, 3362, 3398, 543, 13861, 1344, 689, 12240, 543, 666, 1711, 3977, 607, 12449, 269, 634, 2702, 547, 946, 18580, 1115, 7561, 568, 513, 4956, 5413, 950, 5275, 7694, 563, 17730, 513, 1362, 12348, 1592, 949, 581, 513, 1434, 1101, 3635, 269, 4841, 1058, 1287, 1711, 693, 2547, 835, 22369, 547, 2721, 909, 513, 6578, 538, 799, 513, 1297, 540, 16938, 6343, 268, 604, 14872, 3871, 8451, 269, 1403, 519, 22369, 2636, 621, 267, 519, 9258, 540, 713, 1184, 1058, 849, 581, 3351, 2213, 269, 4841, 1058, 1711, 513, 2241, 22369, 547, 3398, 543, 5173, 519, 2164, 540, 606, 4603, 610, 606, 6644, 5619, 538, 693, 2547, 835, 824, 9015, 269, 589, 1297, 540, 22369, 3156, 786, 8451, 6923, 538, 1034, 1153, 2238, 269, 24619, 9917, 1115, 1058, 581, 1031, 547, 1711, 8638, 799, 666, 581, 556, 268, 1551, 6548, 538, 513, 1114, 1931, 607, 2877, 563, 14737, 3065, 2556, 2200, 912, 26594, 22369, 1982, 3248, 3080, 2780, 585, 513, 1895, 540, 1053, 563, 18893, 1308, 3063, 2200, 912, 32086, 3381, 610, 2780, 1982, 3248, 299, 18612, 32423, 18224, 8470, 543, 16841, 1788, 528, 563, 1607, 568, 606, 10137, 540, 5149, 589, 275, 11554, 609, 513, 22369, 0, 14630, 540, 713, 19405, 454, 763, 2160, 540, 27228, 1700, 31690, 11181, 630, 7419, 299, 264, 543, 519, 772, 2529, 269, 24959, 11752, 630, 4785, 14899, 264, 616, 3384, 513, 1382, 11450, 547, 1732, 1174, 267, 3082, 547, 543, 11574, 519, 5222, 540, 2916, 1689, 538, 519, 15107, 974, 5211, 19438, 543, 519, 4400, 26111, 269, 634, 8693, 7827, 476, 1220, 279, 22544, 267, 968, 306, 7739, 1464, 538, 513, 5384, 540, 8693, 7827, 281, 15043, 606, 2271, 2400, 3194, 17563, 585, 519, 15107, 974, 5211, 19438, 543, 519, 4400, 26111, 892, 729, 2966, 547, 11891, 938, 8994, 1382, 9342, 543, 2200, 538, 713, 1858, 543, 547, 3142, 1883, 8639, 543, 3375, 24237, 883, 519, 1184, 547, 1628, 2417, 12352, 563, 763, 5065, 26377, 543, 3484, 4133, 540, 27228, 17663, 835, 540, 519, 1034, 11327, 6694, 2127, 538, 519, 1158, 1107, 7607, 1500, 2009, 676, 519, 15107, 974, 5211, 267, 799, 14380, 538, 519, 27743, 15142, 543, 17464, 4167, 338, 519, 1533, 267, 543, 519, 4400, 26111, 6864, 11717, 267, 519, 4102, 15780, 1062, 538, 3345, 3013, 269, 1452, 1949, 2844, 513, 2101, 6694, 4346, 267, 5065, 26377, 267, 5757, 8134, 267, 543, 519, 3345, 1977, 6239, 26850, 3118, 267, 799, 568, 4105, 547, 519, 6668, 540, 1082, 27436, 6177, 2249, 267, 1519, 12219, 543, 13155, 2249, 563, 20458, 1689, 949, 1459, 513, 3463, 547, 891, 2565, 8134, 269, 589, 3668, 540, 7347, 267, 6422, 3621, 1239, 1915, 1944, 713, 2189, 5117, 267, 1519, 922, 27230, 5943, 267, 6864, 28875, 267, 2627 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2467, 616, 1082, 1024, 665, 1938, 602, 1004, 616, 711, 3222, 540, 835, 540, 873, 568, 519, 13986, 21393, 5645, 856, 676, 519, 737, 327, 1067, 13193, 613, 538, 524, 3711, 17377, 519, 737, 327, 1067, 13193, 613, 729, 2111, 547, 269, 3657, 1932, 3376, 610, 1932, 1950, 585, 519, 3259, 540, 519, 1957, 1806, 540, 1310, 4974, 519, 3123, 540, 21393, 538, 524, 3711, 17377, 1603, 513, 5098, 3948, 269, 634, 524, 3711, 617, 1014, 21393, 519, 524, 3711, 617, 1014, 21393, 1018, 568, 21393, 2250, 1024, 665, 1938, 543, 2527, 32012, 885, 519, 1292, 2797, 6205, 540, 519, 524, 3711, 17377, 21393, 269, 594, 991, 513, 2178, 5098, 3948, 827, 21393, 543, 875, 3486, 1876, 1281, 2370, 547, 2061, 519, 1560, 540, 707, 1557, 585, 1383, 267, 1522, 581, 602, 563, 279, 5933, 540, 21393, 538, 524, 3711, 17377, 3942, 476, 274, 910, 632, 16058, 1436, 585, 1383, 267, 1247, 1362, 4328, 513, 1895, 540, 1004, 267, 513, 2229, 1522, 946, 6698, 547, 798, 865, 269, 3245, 519, 524, 3711, 617, 5362, 21393, 524, 3711, 617, 5362, 21393, 1018, 713, 1880, 1383, 2982, 721, 827, 519, 519, 524, 3711, 17377, 21393, 1982, 814, 1044, 1031, 538, 269, 6744, 856, 938, 1283, 1863, 3594, 593, 524, 3711, 617, 1014, 21393, 547, 948, 596, 2328, 707, 1378, 1557, 972, 616, 519, 1806, 540, 21393, 538, 524, 3711, 17377, 267, 536, 657, 11844, 267, 543, 678, 342, 7701, 269, 7797, 540, 519, 524, 3711, 617, 1014, 21393, 1982, 519, 524, 326, 335, 814, 849, 20827, 9241, 21503, 2351, 328, 7240, 3594, 593, 519, 737, 327, 1067, 13193, 613, 1974, 585, 1383, 267, 689, 563, 763, 7839, 21393, 538, 524, 3711, 17377, 606, 1383, 540, 971, 2623, 729, 27362, 476, 1220, 274, 1557, 270, 8705, 2275, 337, 1307, 24932, 17462, 269, 1548, 568, 21393, 2250, 1024, 665, 1938, 543, 519, 2250, 1024, 665, 1938, 543, 2527, 32012, 885, 4330, 2630, 2099, 1175, 930, 540, 519, 8978, 1806, 602, 4196, 547, 7618, 721, 563, 288, 1895, 1634, 607, 519, 737, 327, 1067, 13193, 613, 3576, 1852, 540, 519, 2197, 538, 32414, 476, 3192, 276, 936, 519, 1576, 540, 2185, 1296, 267, 1082, 17608, 1004, 941, 7166, 538, 519, 13922, 602, 621, 1131, 269, 5131, 1557, 281, 5310, 835, 540, 519, 1034, 4143, 1806, 540, 21393, 24677, 568, 538, 519, 8087, 2829, 685, 1686, 621, 568, 6059, 602, 538, 476, 5611, 271, 972, 941, 930, 476, 1321, 269, 634, 524, 3711, 617, 1014, 21393, 1382, 4574, 1665, 519, 14206, 2540, 607, 835, 540, 519, 1973, 5006, 2479, 538, 2474, 540, 2729, 4503, 543, 10032, 563, 763, 2645, 596, 991, 547, 2328, 513, 2298, 1557, 610, 713, 21393, 1100, 267, 519, 11318, 4610, 540, 524, 3711, 17377, 941, 9505, 1524, 676, 519, 21393, 568, 606, 1383, 540, 513, 269, 634, 1686, 540, 21393, 538, 524, 3711, 17377, 267, 609, 519, 737, 327, 1067, 13193, 613, 15294, 1359, 3592, 476, 273, 2929, 538, 8942, 547, 18290, 856, 1202, 565, 775, 543, 2818, 540, 519, 2551, 609, 1016, 951, 633, 269, 32678, 543, 524, 3711, 617, 1014, 21393, 1557, 856, 540, 1852, 621, 779, 5863, 875, 17399, 656, 543, 29134, 519, 1480, 5198, 666, 581, 713, 568, 4010, 519, 3210, 540, 1082, 6082, 950, 563, 763, 524, 3711, 617, 1014, 21393, 3576, 1747, 689, 476, 3192, 276, 547, 476, 3192, 280, 538, 519, 25878, 607, 1014, 2197, 540, 524, 3711, 17377, 519, 21393, 729, 513, 22266, 32003, 602, 7166, 476, 1691, 547, 476, 2420, 2929, 269, 4855, 1557, 1806, 737, 327, 1067, 13193, 613, 910, 1557, 1383, 12946, 538, 2247, 519, 21393, 602, 519, 737, 327, 1067, 13193, 613, 896, 519, 5718, 540, 1135, 1494, 5645, 856, 538, 524, 3711, 17377, 563, 15761, 2105, 1557, 1686, 849, 5280, 2322, 1927, 586, 1446, 779, 524, 3711, 617, 1014, 21393, 1788, 267, 835, 540, 519, 1034, 3573, 12240, 25643, 519, 524, 3711, 617, 1014, 12512, 269, 6744, 856, 938, 1283, 1863, 3594, 593, 524, 3711, 17377, 21393, 547, 948, 596, 2328, 707, 1378, 1557, 269, 634, 524, 3711, 617, 1014, 21393, 16768, 689, 476, 3192, 276, 268, 3192, 280, 543, 729, 835, 540, 519, 10782, 1806, 540, 21393, 538, 1686, 5176, 476, 272, 476, 276, 2929, 7972, 616, 8329, 547, 519, 737, 327, 1067, 13193, 613, 269, 18095, 617, 1014, 21393, 4666, 4703, 678, 342, 7701, 543, 524, 3711, 617, 1014, 21393, 1557, 513, 1390, 1383, 540, 875, 1312, 540, 891, 588, 1734, 1404, 883, 519, 21047, 543, 269, 589, 2565, 4367, 547, 21393, 519, 524, 3711, 617, 1014, 21393, 568, 519, 2868, 12151, 3274, 1776, 1383, 540, 21393, 269, 18095, 617, 1014, 21393, 1557, 910, 3079, 540, 7282, 827, 1557, 1603, 1265, 519, 2556, 948, 1934, 952, 596, 991, 547, 1265, 856, 875, 547, 17492, 513, 1390, 1382, 1957, 267, 596, 6185, 5877, 18095, 617, 1014, 21393, 1557, 1383, 0, 12441, 12519, 3332, 1557, 454, 12441, 12519, 3332, 1557, 5348, 3415, 1889, 679, 2498, 564, 12031, 4393, 12819, 1557, 593, 10168, 538, 13314, 586, 1695, 5622, 4267, 2992, 593, 707, 17440, 865, 2484, 900, 514, 655, 269, 4828, 2262, 1293, 3652, 8100, 2338, 1557, 593, 10168, 538, 519, 9036, 1319, 12847, 281, 12354, 3426, 476, 2537, 267, 476, 1001, 278, 1775, 10416, 5206, 606, 1557, 593, 519, 2842, 3039, 6725, 269, 9894, 12519, 3332, 519, 25654, 540, 15438, 543, 519, 10649, 540, 1702, 9414, 4245, 827, 1272, 267, 5718, 267, 543, 5132, 519, 25654, 540, 15438, 543, 519, 10649, 269, 4828, 1705, 12519, 3332, 1557, 2055, 585, 900, 619, 976, 2470, 586, 1695, 5622, 4267, 12007, 12031, 593, 18295, 6379, 1557, 3898, 585, 1965, 331, 1053, 3211, 563, 288, 273, 13004, 17440, 948, 2228, 1433, 2140, 538, 1557, 16643, 3898, 1625, 16746, 27040, 6280, 1686, 943, 323, 4744, 31277, 1557, 593, 1604, 4027, 538, 2261, 27821, 269, 4828, 540, 782, 4821, 1775, 336, 4472, 538, 7005, 1893, 1557, 9631, 1033, 1159, 4157, 651, 642, 539, 15854, 5658, 1223, 707, 1557, 581, 6793, 1205, 930, 5955, 593, 2497, 7954, 543, 811, 693, 1482, 1554, 269, 9502, 543, 1806, 540, 1705, 12519, 1603, 4367, 267, 1705, 12519, 3332, 538, 24469, 519, 2123, 1557, 543, 519, 1705, 12519, 1557, 835, 2186, 540, 1557, 563, 1607, 3184, 786, 2689, 2010, 540, 3594, 543, 5339, 11964, 267, 1705, 12519, 3332, 267, 543, 811, 998, 4277, 4245, 946, 519, 17118, 547, 2638, 269, 14484, 633, 1557, 593, 5718, 543, 2359, 538, 8808, 4967, 16926, 2576, 547, 798, 707, 17440, 7662, 32550, 5866, 1533, 6280, 12031, 4808, 269, 13317, 2497, 12031, 7824, 1883, 3540, 27136, 17171, 2565, 2079, 1557, 798, 3594, 991, 513, 2140, 2985, 10315, 798, 3594, 991, 513, 2140, 2985, 10315, 269, 18391, 585, 1705, 12519, 3332, 1265, 856, 1344, 827, 1705, 12519, 3332, 14292, 3332, 538, 7499, 1106, 1705, 12519, 3332, 6799, 10952, 563, 12441, 12519, 3332, 1557, 7084, 5830, 798, 713, 998, 519, 946, 540, 9266, 7440, 543, 3929, 2689, 540, 1699, 15338, 690, 545, 1382, 543, 2259, 538, 519, 269, 28089, 782, 534, 1093, 324, 1256, 1572, 1705, 716, 6291, 519, 10782, 540, 646, 637, 625, 538, 1010, 1557, 519, 19621, 6240, 1806, 930, 8320, 540, 1705, 12519, 3332, 1331, 281, 1568, 543, 269, 589, 3209, 267, 1404, 610, 6648, 602, 568, 1705, 12519, 6663, 547, 4001, 721, 1945, 1018, 1134, 267, 4376, 267, 2731, 1705, 12519, 1568, 1419, 723, 26069, 547, 18836, 610, 616, 2854, 547, 4001, 721, 269, 11300, 1557, 2140, 17082, 7044, 1557, 593, 946, 540, 6128, 538, 938, 3232, 1272, 23407, 3009, 1557, 585, 17511, 2259, 3992, 1544, 1557, 1705, 12519, 7084, 3332, 269, 9502, 543, 513, 1592, 540, 1806, 540, 1705, 716, 6291, 1705, 716, 6291, 6257, 513, 1826, 540, 3332, 602, 568, 2854, 547, 4051, 519, 5467, 267, 2523, 25432, 563, 763, 27356, 8124, 607, 1705, 12519, 3332, 281, 4245, 6026, 547, 27356, 22040, 827, 519, 2470, 540, 18495, 543, 519, 1259, 27356, 22040, 2242, 1310, 1010, 2833, 269, 9502, 267, 6165, 543, 513, 1592, 540, 1705, 716, 6291, 1806, 538, 1455, 4633, 543, 3332, 1705, 716, 6291, 568, 513, 2165, 602, 4016, 547, 513, 1880, 6138, 538, 1148, 543, 269, 661, 1372, 343, 4897, 7005, 3332, 17440, 1665, 10325, 9858, 1686, 17440, 28168, 476, 1001, 274, 28866, 1557, 1603, 10959, 585, 1647, 1153, 7574, 1557, 1646, 540, 563, 16665, 2022, 540, 1705, 12519, 3332, 1557, 7084, 18483, 1557, 538, 5309, 20602, 328, 1893, 4555, 12804, 698, 600, 3594, 827, 1272, 11896, 30221, 6677, 867, 2689, 3594, 269, 476, 3445, 260, 3446, 543, 2348, 519, 32082, 1289, 1250, 1557, 1851, 519, 1655, 540, 519, 19496, 1775, 7058, 1775, 666, 798, 9297, 1134, 4440, 2469, 547, 581, 909, 2394, 476, 274, 1603, 513, 1957, 1175, 269, 12834, 1705, 12519, 3332, 281, 4214, 543, 4162, 3332, 6818, 538, 513, 2039, 540, 3029, 543, 17648, 1114, 5301, 538, 2070, 540, 602, 267, 1082, 13915, 269, 3281, 817, 1449, 1557, 2055, 2816, 11673, 2123, 1557, 3992, 1544, 1164, 1153, 4267, 1455, 813, 1557, 948, 2852, 14804, 1535, 32667, 1876, 3594, 948, 948, 269, 10749, 910, 4102, 6538, 540, 2298, 3732, 3594, 543, 1382, 4574, 593, 1383, 540, 1705, 12519, 1557, 269, 0, 288, 12666, 2069, 568, 1883, 547, 513, 3540, 2486, 454, 19733, 2165, 4574, 630, 17549, 476, 6642, 6349, 264, 593, 12666, 2069, 5288, 2029, 2433, 968, 12221, 1968, 6575, 5288, 2029, 892, 2069, 568, 835, 540, 519, 1034, 1271, 2645, 602, 513, 2486, 269, 27565, 2229, 267, 3540, 2486, 5013, 538, 519, 2069, 1383, 952, 1978, 2516, 723, 1044, 16934, 689, 1883, 5238, 543, 9922, 540, 2486, 269, 594, 1265, 602, 1476, 18676, 534, 2785, 1143, 666, 581, 519, 1883, 547, 2870, 513, 1476, 18676, 534, 3540, 2486, 12666, 3540, 2486, 4352, 519, 12666, 3069, 540, 3540, 2486, 269, 27565, 2069, 543, 3206, 585, 13951, 543, 1762, 1004, 1131, 581, 1514, 1242, 547, 7819, 3540, 2486, 676, 12666, 2069, 729, 28601, 607, 1883, 547, 519, 269, 27565, 2069, 693, 669, 8522, 585, 513, 540, 3540, 2486, 1175, 607, 2489, 2069, 2488, 513, 5748, 585, 5466, 1883, 7214, 2055, 267, 519, 5834, 269, 589, 12666, 6575, 2069, 568, 4143, 538, 519, 476, 2641, 560, 2540, 2687, 547, 519, 4099, 585, 3540, 2486, 2090, 693, 795, 25296, 519, 1533, 4760, 15696, 3563, 267, 533, 563, 8256, 969, 894, 5288, 12666, 4978, 1820, 18441, 941, 27226, 540, 519, 1482, 2069, 543, 7694, 3255, 607, 13314, 568, 1869, 513, 22457, 2486, 269, 6406, 2486, 543, 683, 565, 28515, 1143, 519, 2518, 5314, 540, 3540, 2486, 543, 12666, 29102, 602, 538, 21562, 267, 519, 1533, 4249, 513, 1883, 1909, 538, 519, 4070, 540, 3540, 269, 3026, 565, 28515, 1964, 31382, 543, 519, 3791, 5823, 281, 18534, 12686, 10350, 267, 3540, 2486, 543, 3184, 568, 602, 29724, 2000, 28515, 1964, 31382, 3651, 338, 513, 1883, 2069, 543, 269, 6820, 3540, 2486, 4016, 547, 519, 5318, 31174, 720, 540, 2516, 5665, 2066, 10665, 543, 3564, 519, 3914, 540, 6608, 2436, 971, 3906, 13822, 513, 1007, 267, 5051, 14628, 7706, 610, 616, 8806, 13742, 540, 7262, 12666, 2486, 568, 269, 769, 12666, 7239, 267, 621, 568, 11130, 267, 519, 1533, 568, 513, 3135, 540, 6101, 7862, 1063, 782, 4961, 3540, 2486, 267, 538, 4334, 267, 568, 27537, 676, 5191, 267, 1514, 4763, 543, 6735, 538, 519, 2344, 1747, 267, 799, 2164, 538, 1570, 16526, 269, 6406, 2486, 781, 1950, 5943, 540, 22624, 267, 2924, 267, 1455, 19647, 267, 543, 5773, 585, 12560, 15539, 6571, 568, 519, 2707, 540, 922, 9153, 585, 519, 2104, 1247, 3540, 2486, 2488, 606, 7175, 5943, 585, 9111, 267, 621, 3568, 693, 519, 1482, 942, 606, 17271, 8082, 267, 513, 17866, 3666, 1063, 4357, 543, 1857, 4690, 563, 19733, 10530, 676, 4583, 1004, 281, 2069, 568, 519, 1883, 547, 12260, 519, 11344, 7450, 540, 5191, 513, 12666, 2069, 568, 693, 519, 2295, 540, 513, 3540, 2486, 269, 6115, 543, 19796, 12251, 2433, 5612, 1739, 519, 3540, 2112, 1247, 11067, 2023, 949, 723, 14129, 4853, 2069, 936, 12666, 6575, 269, 476, 272, 12666, 9111, 543, 519, 2619, 547, 4708, 543, 3354, 2829, 543, 3540, 2486, 3401, 666, 1404, 513, 1883, 1909, 16607, 2069, 585, 1453, 563, 288, 12666, 2069, 568, 693, 519, 2295, 540, 513, 3540, 2486, 267, 676, 513, 536, 691, 27451, 575, 3554, 3430, 328, 689, 1250, 1804, 4015, 540, 2318, 267, 11509, 267, 543, 16168, 10530, 4283, 835, 610, 1079, 17161, 547, 3406, 891, 31369, 10530, 269, 901, 2376, 13187, 585, 513, 31544, 12666, 2069 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9209, 607, 769, 11431, 910, 3203, 29576, 454, 1103, 891, 1148, 3992, 4566, 267, 1053, 4766, 513, 4062, 540, 11247, 267, 1519, 519, 7376, 781, 4480, 267, 543, 5659, 519, 2609, 540, 519, 960, 269, 1358, 4612, 922, 2495, 543, 9794, 1946, 1866, 949, 1871, 621, 563, 277, 628, 910, 476, 279, 628, 10439, 1299, 27400, 8551, 476, 736, 14358, 476, 3953, 20042, 454, 290, 571, 5414, 585, 10699, 525, 281, 3203, 543, 3163, 454, 1607, 568, 513, 1360, 20258, 3992, 267, 855, 2488, 513, 1360, 4277, 3450, 2856, 269, 22996, 1865, 3752, 2274, 310, 8636, 543, 12497, 1148, 267, 1287, 5659, 519, 3604, 538, 11589, 513, 1523, 998, 2203, 1759, 14374, 543, 12716, 1148, 9880, 19601, 275, 628, 910, 476, 279, 628, 10439, 1299, 27400, 8551, 454, 22977, 545, 9452, 2480, 2651, 338, 454, 20524, 835, 540, 519, 1655, 1634, 7489, 3134, 923, 538, 519, 9699, 1650, 540, 10548, 27011, 269, 2659, 1362, 2818, 786, 5659, 10207, 689, 519, 12473, 20801, 267, 1451, 827, 3860, 2409, 540, 32538, 1031, 538, 7489, 1148, 267, 543, 1374, 513, 20801, 20515, 1883, 2483, 275, 628, 910, 476, 279, 628, 2296, 5678, 8551, 18938, 281, 23850, 454, 6124, 5623, 5295, 13268, 281, 16497, 538, 595, 643, 923, 267, 4569, 267, 543, 20963, 8551, 454, 6124, 4944, 1653, 538, 4065, 630, 301, 23966, 264, 10432, 26549, 519, 7418, 540, 519, 11356, 543, 568, 9976, 538, 519, 4199, 1369, 513, 524, 643, 923, 267, 6128, 267, 543, 5386, 6575, 4259, 269, 634, 4199, 4564, 1169, 3446, 689, 476, 274, 6113, 547, 476, 1321, 628, 609, 2055, 543, 2483, 274, 6113, 910, 476, 1321, 628, 4569, 18938, 281, 24623, 454, 293, 761, 345, 5576, 27212, 281, 589, 5530, 6651, 454, 1103, 713, 2502, 2534, 5473, 2673, 2079, 540, 7493, 4082, 626, 1148, 267, 707, 1362, 2818, 786, 711, 1152, 3605, 811, 827, 7376, 674, 10961, 5576, 27212, 781, 7111, 1977, 1148, 267, 855, 789, 786, 849, 723, 519, 4316, 547, 2015, 2483, 276, 628, 910, 476, 279, 628, 4317, 5525, 1299, 3778, 18938, 281, 24623, 454, 306, 680, 754, 728, 2836, 4613, 773, 3943, 20551, 685, 6764, 11306, 1993, 519, 13642, 3557, 267, 476, 9965, 277, 268, 5002, 271, 454, 2467, 568, 513, 2603, 547, 1451, 689, 1148, 269, 901, 4116, 781, 3391, 2488, 596, 609, 3573, 4282, 1344, 267, 2238, 267, 543, 513, 7097, 539, 16555, 547, 13173, 513, 13472, 1397, 593, 3943, 5159, 538, 4993, 1282, 519, 7108, 27538, 11270, 269, 634, 2483, 277, 628, 910, 476, 279, 628, 10439, 1299, 27400, 8551, 454, 19465, 513, 7467, 540, 631, 13952, 593, 519, 5680, 454, 5331, 19480, 883, 15882, 2066, 519, 1158, 1318, 689, 519, 4313, 540, 707, 1378, 4928, 267, 543, 7421, 11247, 538, 3152, 1469, 982, 596, 2479, 2219, 2009, 269, 5616, 3203, 5741, 814, 1500, 713, 2009, 256, 589, 2466, 590, 797, 13713, 12857, 2483, 277, 25008, 476, 278, 628, 910, 476, 1321, 628, 10439, 1299, 27400, 8551, 18938, 281, 24623, 0, 257, 291, 1046, 5546, 609, 6505, 8728, 13617, 532, 741, 1259, 998, 7452, 344, 15726, 290, 476, 277, 1240, 279, 616, 9937, 540, 1769, 26188, 1279, 269, 634, 12998, 683, 321, 3121, 568, 1336, 2282, 519, 6316, 540, 606, 6382, 4158, 1804, 7636, 6531, 538, 519, 7013, 26424, 19966, 267, 827, 476, 275, 267, 1822, 1769, 26188, 2476, 1701, 21220, 13135, 2230, 10344, 2407, 540, 4544, 267, 19826, 267, 2699, 267, 4012, 31980, 267, 535, 1276, 338, 807, 3267, 663, 2731, 513, 5479, 824, 4778, 563, 4322, 3657, 634, 4107, 26836, 5937, 549, 6137, 6611, 16071, 2986, 634, 5729, 454, 763, 19257, 549, 1042, 13957, 21708, 676, 2473, 807, 2129, 7699, 2098, 29697, 630, 19770, 264, 1323, 6678, 337, 6817, 588, 1173, 1794, 518, 568, 27153, 538, 519, 6801, 607, 519, 24788, 748, 13711, 6607, 568, 8272, 549, 1042, 538, 519, 6094, 6656, 540, 1216, 2066, 519, 1158, 779, 4102, 6070, 6366, 267, 6428, 541, 632, 772, 344, 27376, 538, 30643, 269, 0, 21093, 3323, 609, 1313, 3941, 330, 2847, 527, 476, 1001, 275, 910, 596, 32353, 267, 670, 1777, 335, 2517, 4178, 4732, 26501, 21504, 725, 2593, 22812, 10903, 538, 713, 3381, 2278, 15854, 1408, 588, 710, 12857, 596, 875, 547, 1930, 513, 3758, 267, 513, 1906, 540, 519, 2645, 543, 519, 3593, 8818, 540, 454, 3725, 10903, 561, 339, 3478, 3323, 281, 4946, 7516, 910, 596, 32353, 267, 12660, 542, 3381, 585, 3478, 3323, 3992, 281, 4946, 7516, 563, 3725, 10903, 6189, 2866, 543, 18862, 1923, 11430, 24229, 2593, 267, 4860, 527, 6189, 2866, 543, 18862, 269, 2436, 596, 2811, 4358, 538, 11265, 9781, 610, 1374, 267, 610, 3274, 1616, 547, 1832, 909, 609, 519, 21777, 2934, 267, 891, 454, 29619, 1923, 2847, 527, 2472, 1923, 1313, 3941, 330, 1702, 3060, 267, 15775, 3323, 269, 1376, 1934, 547, 1294, 2847, 527, 2472, 18862, 267, 7044, 267, 543, 12319, 585, 4098, 3755, 269, 1376, 454, 28723, 9781, 538, 2847, 527, 6189, 910, 11430, 24229, 2593, 267, 11628, 9781, 538, 2847, 527, 6189, 11840, 919, 593, 519, 9238, 540, 4295, 2609, 538, 2847, 527, 267, 971, 607, 6821, 267, 19683, 267, 22908, 267, 543, 1225, 1555, 6821, 267, 543, 2007, 338, 883, 7463, 454, 289, 574, 538, 6189, 1923, 1313, 3941, 330, 267, 645, 574, 2029, 7028, 16413, 2429, 519, 29488, 540, 1374, 269, 2263, 875, 536, 574, 585, 6189, 2337, 596, 281, 1491, 707, 1374, 689, 1523, 547, 4641, 609, 454, 306, 9407, 281, 4647, 2847, 527, 476, 1001, 278, 3872, 4528, 910, 1313, 3941, 330, 267, 28982, 2073, 950, 1775, 3442, 2847, 527, 476, 1001, 278, 630, 3872, 4528, 3738, 1287, 4945, 4647, 2073, 1313, 3941, 330, 4647, 9614, 1376, 547, 4647, 2847, 527, 476, 1001, 277, 7790, 256, 855, 621, 6494, 803, 4757, 609, 1883, 454, 6011, 547, 15775, 29035, 2060, 4860, 527, 15339, 5850, 0, 12585, 281, 1703, 781, 2731, 1100, 2653, 1259, 585, 21427, 547, 3247, 4829, 2504, 269, 1403, 596, 32566, 8185, 543, 28729, 267, 596, 666, 4894, 519, 2927, 1746, 838, 2720, 689, 11945, 267, 15090, 543, 890, 778, 4054, 269, 1975, 2720, 616, 2110, 267, 5394, 2989, 22534, 602, 4163, 13421, 540, 5810, 269, 1411, 666, 3362, 2697, 519, 838, 2720, 952, 596, 7227, 2394, 519, 4054, 616, 538, 8768, 269, 1323, 4244, 547, 16069, 707, 4054, 689, 6721, 4829, 568, 547, 16436, 513, 2199, 6107, 1895, 547, 7556, 519, 4829, 543, 24946, 621, 547, 513, 1426, 4871, 267, 17339, 10051, 267, 610, 824, 5172, 17493, 563, 304, 26031, 7732, 9612, 532, 9669, 0, 5415, 1648, 568, 1031, 538, 519, 2504, 2864, 982, 6283, 540, 4853, 569, 6738, 14132, 269, 634, 2698, 1648, 9819, 585, 519, 2504, 540, 14132, 568, 476, 272, 267, 4281, 276, 5062, 531, 270, 534, 2711, 267, 6466, 519, 2698, 6283, 1648, 9819, 2501, 547, 476, 278, 1704, 5062, 531, 270, 534, 2711, 269, 901, 568, 1317, 519, 968, 335, 3174, 892, 540, 4853, 14132, 3340, 8970, 3049, 267, 799, 3294, 3340, 538, 2504, 543, 6283, 269, 1717, 267, 596, 666, 1406, 2731, 723, 2504, 1510, 6283, 267, 865, 649, 2731, 1590, 1413, 693, 519, 1184, 607, 513, 2898, 563, 12812, 1934, 547, 22599, 16253, 563, 28989, 267, 4263, 713, 942, 3593, 14261, 568, 16981, 269, 1284, 786, 1930, 14261, 4166, 2336, 10673, 1405, 723, 606, 2272, 286, 8437, 3371, 547, 6178, 1575, 454, 15100, 14645, 5682, 9172, 9955, 2593, 20941, 0, 26524, 827, 2413, 7592, 267, 899, 1946, 17417, 666, 4235, 5144, 1247, 1306, 2103, 666, 1405, 267, 610, 1946, 789, 723, 5266, 1769, 2960, 267, 949, 723, 3137, 602, 4266, 1394, 27453, 267, 2687, 547, 1007, 1382, 269, 7136, 4955, 5928, 1282, 519, 27705, 6520, 2693, 6766, 519, 1646, 540, 891, 4162, 267, 1519, 1141, 789, 12090, 543, 1946, 789, 16768, 267, 2687, 547, 1382, 3370, 13723, 538, 519, 4760, 7186, 563, 288, 2319, 540, 3744, 538, 10515, 32683, 3524, 10642, 519, 5027, 540, 476, 6200, 1004, 945, 5030, 538, 20195, 14901, 1282, 602, 5736, 267, 799, 16768, 689, 5111, 476, 4968, 271, 645, 5861, 269, 547, 476, 1911, 271, 645, 5861, 269, 6271, 2319, 689, 12370, 2160, 6743, 693, 519, 5027, 540, 476, 7597, 1004, 689, 519, 1482, 5736, 267, 609, 2147, 4681, 563, 26212, 547, 476, 4968, 271, 645, 5861, 1421, 1004, 2713, 538, 1018, 568, 1631, 8832, 543, 6239, 2342, 1185, 5027, 2147, 547, 519, 5095, 602, 2392, 730, 873, 267, 971, 607, 3864, 25433, 3766, 520, 1877, 3464, 607, 1134, 607, 6705, 945, 28953, 689, 519, 5664, 5101, 269, 1809, 676, 476, 1220, 271, 645, 5861, 1421, 741, 25450, 6743, 10169, 1114, 269, 6206, 547, 713, 4719, 6521, 729, 519, 9194, 540, 519, 26232, 333, 11535, 1004, 267, 13265, 615, 10249, 689, 7262, 6576, 945, 8452, 538, 519, 1858, 1472, 476, 23310, 271, 645, 5861, 563, 6524, 519, 12625, 540, 519, 26232, 333, 11535, 267, 1004, 538, 519, 3148, 941, 10355, 2111, 547, 7558, 5144, 267, 609, 1152, 827, 476, 1015, 2600, 27031, 540, 26178, 269, 634, 26232, 333, 11535, 941, 1034, 2693, 547, 723, 5189, 602, 2702, 267, 609, 2067, 5542, 4543, 547, 1780, 621, 1524, 519, 5481, 543, 1118, 621, 7839, 267, 519, 10515, 32683, 2319, 781, 1382, 6700, 563, 3719, 519, 26232, 333, 11535, 616, 711, 519, 2601, 8832, 17417, 616, 865, 28020, 1769, 1606, 7219, 2740, 267, 741, 1382, 849, 4951, 269, 4634, 1354, 519, 26232, 333, 11535, 8452, 267, 11317, 540, 519, 1858, 1631, 1634, 607, 8832, 2342, 8604, 547, 581, 1769, 1606, 7219, 2740, 267, 543, 835, 3069, 568, 602, 2818, 540, 835, 540, 519, 3105, 2527, 4955, 5928, 4534, 519, 6705, 689, 519, 5664, 5101, 4534, 5189, 602, 8984, 269, 2060, 1769, 2960, 3850, 585, 1732, 6171, 667, 2504, 693, 513, 20173, 609, 1447, 7943, 267, 602, 16023, 1932, 729, 4440, 5293, 1524, 998, 519, 6502, 563, 2026, 5027, 15971, 3587, 5051, 10427, 855, 849, 1447, 7199, 267, 621, 786, 5838, 5051, 4977, 4267, 827, 875, 938, 3504, 11937, 6766, 2413, 812, 267, 11423, 538, 811, 543, 811, 4773, 538, 519, 11015, 540, 1480, 1646, 267, 3173, 1767, 269, 0, 4415, 26189, 1963, 596, 666, 2671, 1018, 596, 1118, 609, 519, 1158, 267, 543, 7148, 883, 606, 2479, 21212, 2146, 540, 3860, 4966, 563, 16978, 11424, 26550, 2787, 3926, 454, 17556, 3899, 667, 31034, 20861, 268, 272, 270, 273, 281, 772, 299, 301, 1220, 274, 267, 700, 29218, 301, 267, 700, 26605, 271, 306, 454, 24874, 7193, 27684, 476, 955, 285, 6489, 5695, 321, 710, 538, 476, 1015, 3687, 2373, 454, 6635, 18003, 281, 1215, 547, 4045, 5871, 11576, 832, 543, 27294, 454, 26594, 29968, 4580, 22732, 762, 5295, 18242, 454, 303, 12714, 4149, 1125, 5295, 18242, 454, 22998, 2060, 11576, 832, 2433, 11554, 2060, 700, 11403, 454, 763, 31597, 31668, 2372, 611, 322, 16239, 454, 294, 27172, 10896, 631, 2313, 3336, 8298, 700, 2086, 454, 275, 3451, 631, 13703, 16674, 25103, 7869, 267, 18065, 543, 5358, 454, 13612, 11638, 19305, 20798, 1160, 1636, 1308, 3690, 2466, 614, 1315, 25547, 1853, 609, 29502, 2558, 9404, 619, 454, 13356, 5317, 543, 11488, 476, 275, 3451, 300, 13703, 16674, 9479, 609, 20798, 543, 678, 322, 1606, 342, 3558, 454, 25802, 2241, 623, 310, 300, 609, 476, 27898, 1862, 9556, 3634, 1169, 3364, 454, 7197, 13242, 16359, 3220, 1161, 1656, 4706, 21964, 454, 299, 26839, 291, 16359, 667, 3925, 6513, 585, 7201, 1269, 273, 269, 736, 454, 5522, 2880, 8055, 532, 281, 1215, 1677, 5269, 707, 1378, 670, 7894, 292, 21311, 32506, 630, 14888, 312, 5068, 29421, 994, 310, 328, 4149, 969, 334, 281, 15261, 30235, 11422, 6417, 1425, 558, 582, 832, 630, 5976, 20798, 1341, 661, 9915, 279, 2918, 277, 994, 2791, 2811, 1318, 269, 966, 1047, 8566, 686, 1186, 568, 513, 1434, 1383, 269, 3509, 3549, 1118, 1327, 6362, 726, 4536, 267, 621, 3085, 1405, 2339, 910, 649, 1289, 873, 782, 966, 1047, 8566, 686, 1186, 269, 595, 29266, 568, 1776, 1383, 630, 16269, 1500, 606, 28253, 530, 3402, 1916, 303, 11502, 616, 1360, 3730, 267, 543, 594, 4312, 1031, 873, 1354, 593, 10808, 1299, 31211, 269, 1809, 267, 519, 2953, 1907, 568, 519, 1318, 2450, 530, 3402, 610, 23094, 563, 299, 565, 256, 594, 723, 2944, 713, 1354, 256, 1975, 550, 1250, 3003, 2324, 1272, 7432, 530, 29168, 693, 513, 1507, 10412, 575, 514, 269, 5381, 547, 713, 267, 594, 723, 849, 1031, 513, 6366, 17684, 323, 18182, 607, 513, 530, 8354, 547, 799, 594, 1223, 849, 1039, 15407, 269, 7454, 3364 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4263, 2914, 650, 5520, 798, 711, 723, 547, 581, 2016, 5469, 540, 26694, 6862, 798, 9769, 2213, 5520, 8259, 513, 7104, 29541, 6876, 6382, 2488, 269, 1403, 972, 568, 606, 7694, 3135, 9505, 6658, 610, 2527, 2482, 4752, 267, 5520, 1590, 581, 2016, 476, 2568, 2395, 685, 5469, 896, 519, 2782, 333, 2920, 563, 277, 269, 273, 2052, 12820, 2154, 5520, 547, 4196, 513, 1974, 540, 968, 326, 31678, 4734, 892, 1282, 741, 5469, 1974, 950, 519, 9441, 3788, 6964, 855, 1281, 711, 723, 547, 7390, 585, 960, 888, 2108, 294, 31678, 4734, 892, 568, 711, 1455, 538, 519, 772, 2529, 563, 277, 269, 274, 1548, 4027, 798, 5520, 723, 1996, 14962, 531, 286, 769, 1018, 6381, 568, 606, 9441, 5701, 607, 1373, 25323, 286, 1772, 9844, 689, 513, 3791, 5428, 2838, 1354, 606, 16108, 666, 14962, 888, 10387, 7877, 568, 693, 2914, 650, 8259, 606, 7694, 610, 7104, 29541, 6876, 14014, 1996, 14962, 531, 896, 1978, 6381, 269, 2353, 5520, 616, 6870, 1996, 14962, 531, 1813, 547, 796, 32016, 7130, 610, 6870, 2534, 267, 971, 607, 9769, 2534, 610, 27646, 321, 27172, 269, 1323, 9441, 568, 25323, 950, 7694, 568, 2165, 3990, 610, 972, 568, 513, 16268, 26694, 630, 514, 1464, 547, 3136, 2324, 1813, 547, 513, 20935, 960, 1604, 1040, 1323, 7694, 6876, 949, 723, 14074, 585, 9441, 26694, 585, 1434, 2601, 269, 3117, 550, 689, 513, 3791, 5428, 568, 711, 2838, 1354, 606, 16108, 666, 14962, 563, 277, 269, 275, 3657, 972, 1022, 6688, 540, 5520, 945, 2972, 2027, 4027, 1996, 14962, 531, 888, 32715, 4315, 538, 6870, 28944, 949, 711, 581, 25323, 1317, 540, 741, 6870, 8760, 269, 25477, 543, 7104, 29541, 11650, 949, 723, 14074, 7863, 1996, 16789, 14962, 531, 563, 277, 269, 276, 1879, 786, 606, 16108, 581, 13886, 547, 14962, 585, 281, 476, 272, 264, 4128, 1644, 547, 519, 1367, 9441, 282, 610, 476, 273, 264, 1870, 1644, 4128, 286, 3657, 5520, 13886, 547, 13180, 593, 14962, 531, 543, 952, 865, 267, 875, 568, 13180, 7229, 888, 2304, 16108, 666, 14962, 606, 9441, 585, 1367, 610, 1870, 4128, 267, 607, 1279, 607, 1346, 4128, 798, 711, 29875, 5313, 267, 1533, 267, 610, 2199, 4031, 267, 543, 5924, 1100, 6876, 547, 519, 14669, 6818, 563, 26796, 14962, 531, 267, 5520, 616, 13886, 547, 4309, 741, 3803, 2628, 543, 934, 29471, 2640, 269, 1403, 519, 14962, 531, 568, 1697, 267, 513, 25323, 9441, 568, 14718, 585, 5313, 2910, 289, 6938, 610, 1533, 6697, 540, 27402, 540, 3782, 2640, 609, 519, 9441, 9878, 519, 16108, 779, 1895, 2557, 269, 1403, 519, 14962, 531, 568, 711, 585, 13817, 2265, 267, 606, 9441, 568, 14718, 585, 13864, 6142, 2640, 563, 277, 269, 277, 3657, 972, 1022, 1808, 5773, 602, 606, 16108, 814, 547, 1246, 538, 6935, 547, 1367, 14962, 1023, 888, 2467, 616, 1100, 1808, 14074, 8259, 606, 7694, 610, 7104, 29541, 6876, 3568, 873, 563, 277, 269, 278, 1548, 6811, 666, 606, 9441, 3142, 952, 646, 610, 1352, 568, 25323, 286, 1548, 616, 519, 14319, 585, 513, 3811, 3409, 888, 5141, 2727, 338, 666, 581, 4547, 1354, 606, 11889, 8116, 267, 513, 5480, 610, 606, 11737, 15249, 952, 5083, 340, 656, 547, 606, 7694, 610, 7104, 29541, 6876, 585, 796, 32016, 14962, 531, 609, 519, 1761, 14319, 5018, 1657, 563, 277, 269, 279, 2052, 12820, 7017, 6811, 1354, 610, 1310, 789, 616, 15748, 888, 32715, 4315, 666, 7017, 6811, 1354, 610, 1310, 789, 616, 15748, 563, 277, 269, 280, 6496, 606, 16108, 723, 1022, 3606, 13800, 952, 621, 568, 14962, 532, 513, 1297, 540, 5520, 693, 519, 1482, 942, 888, 2304, 16108, 814, 606, 17185, 896, 519, 654, 27073, 2920, 630, 2568, 2395, 685, 5469, 264, 952, 972, 568, 513, 2527, 2482, 4752, 610, 7694, 3135, 9505, 6658, 269, 11814, 633, 29541, 11650, 949, 1683, 585, 3606, 13800, 563, 277, 269, 1015, 1215, 798, 5520, 17997, 741, 2924, 538, 6935, 547, 2527, 14962, 1023, 543, 1018, 616, 519, 4539, 952, 606, 16108, 14543, 547, 16783, 609, 922, 13800, 888, 763, 654, 27073, 2920, 267, 543, 6697, 1533, 4031, 267, 616, 24451, 676, 519, 10470, 269, 31740, 949, 3142, 2901, 606, 1367, 610, 1362, 2962, 3540, 27779, 269, 14146, 619, 945, 29875, 519, 654, 27073, 11865, 676, 14656, 606, 7694, 3135, 610, 19280, 2527, 2482, 26160, 1510, 3246, 7850, 5469, 616, 25964, 585, 1394, 2628, 543, 2640, 547, 1142, 4903, 7205, 9441, 269, 14146, 619, 945, 3111, 547, 1683, 519, 2838, 5469, 547, 519, 2199, 2229, 616, 1641, 547, 3540, 20507, 563, 2414, 17997, 824, 7694, 1876, 19374, 267, 5520, 949, 3758, 2901, 606, 1367, 610, 1362, 2962, 3409, 609, 519, 3617, 5480, 543, 5924, 7694, 8116, 269, 31664, 4096, 593, 519, 19374, 1336, 563, 278, 269, 27986, 6355, 9314, 338, 11374, 12910, 1588, 454, 278, 269, 272, 1548, 2010, 540, 25516, 524, 8576, 1218, 616, 18931, 888, 763, 17997, 1464, 540, 25516, 524, 8576, 1218, 568, 5462, 676, 1533, 1876, 543, 9775, 4470, 593, 519, 16278, 269, 9537, 540, 25516, 524, 8576, 1218, 1331, 1875, 16327, 564, 819, 11650, 267, 1875, 1606, 4301, 2787, 540, 5561, 267, 1875, 1606, 4301, 2787, 540, 5520, 267, 543, 22637, 11650, 563, 278, 269, 273, 1879, 616, 25516, 524, 8576, 1218, 17997, 762, 543, 585, 1018, 1974, 888, 763, 10456, 4972, 814, 1044, 22215, 930, 25516, 524, 8576, 1218, 607, 27047, 6493, 593, 4123, 269, 3557, 4031, 4268, 607, 547, 519, 17997, 1464, 540, 25516, 524, 8576, 1218, 269, 30271, 786, 2708, 2436, 25516, 524, 8576, 1218, 4196, 513, 16048, 1870, 3483, 543, 616, 10257, 538, 9165, 267, 942, 543, 13664, 3914, 269, 1703, 568, 1100, 7833, 1974, 585, 799, 25516, 524, 8576, 1218, 616, 17997, 762, 267, 855, 519, 10156, 789, 616, 267, 519, 811, 2693, 789, 786, 581, 24451, 269, 30271, 949, 968, 19990, 15513, 892, 25516, 524, 8576, 1218, 267, 2495, 3079, 540, 7357, 11495, 1524, 3283, 602, 616, 1932, 1279, 538, 942, 610, 9165, 267, 10470, 949, 2759, 1524, 519, 942, 1974, 543, 5924, 7522, 519, 9165, 563, 278, 269, 274, 1684, 5520, 723, 547, 581, 3177, 609, 2883, 13180, 538, 2132, 585, 524, 8576, 1218, 888, 290, 8576, 1218, 1590, 581, 6462, 676, 7156, 267, 799, 949, 581, 2883, 610, 513, 13319, 610, 267, 538, 930, 22875, 267, 27402, 540, 7694, 563, 278, 269, 275, 1215, 616, 25516, 524, 8576, 1218, 24451, 888, 27916, 2774, 633, 524, 8576, 1218, 616, 24451, 676, 4031, 7057, 543, 607, 547, 519, 2883, 2872, 267, 674, 2562, 6938, 563, 279, 269, 4578, 10466, 543, 31287, 21041, 454, 279, 269, 272, 1215, 798, 9441, 1239, 4027, 2924, 1860, 519, 7694, 2078, 286, 2052, 606, 16108, 4483, 9441, 1239, 11884, 547, 824, 2477, 888, 1103, 519, 772, 2529, 269, 972, 616, 5313, 543, 1533, 4031, 543, 6042, 602, 10038, 519, 4015, 267, 946, 267, 543, 4483, 540, 2123, 1239, 540, 5520, 267, 607, 1134, 607, 4830, 25255, 543, 1875, 15041, 1943, 4315, 269, 634, 3119, 5313, 4031, 602, 1827, 1239, 4027, 616, 281, 519, 12876, 15894, 27561, 2920, 630, 15598, 6938, 1070, 799, 10039, 547, 1346, 945, 3489, 7082, 5359, 282, 519, 8549, 11780, 8189, 2920, 630, 10499, 7563, 1070, 799, 10238, 1080, 15490, 610, 632, 21082, 2853, 282, 519, 18726, 6176, 6348, 1673, 4593, 19303, 2920, 630, 294, 2562, 288, 1070, 799, 10039, 547, 4719, 1344, 282, 543, 519, 2657, 15928, 5800, 1464, 543, 10055, 1464, 2920, 630, 295, 7709, 5183, 1070, 799, 21560, 2564, 543, 1072, 1344, 269, 4107, 2829, 723, 21892, 930, 1106, 540, 7834, 9086, 267, 1247, 1034, 723, 8045, 4031, 8506, 31015, 540, 2123, 1344, 3354, 23563, 269, 13595, 547, 891, 4031, 267, 12820, 666, 4483, 9441, 1239, 547, 824, 2477, 563, 279, 269, 273, 1684, 5520, 723, 513, 1318, 547, 3489, 12215, 540, 1022, 2123, 1344, 602, 568, 4371, 676, 741, 16108, 888, 2467, 616, 1100, 5313, 4031, 8506, 12820, 547, 1683, 5520, 1569, 547, 741, 2123, 1344, 282, 2705, 267, 930, 2829, 798, 723, 4031, 269, 3557, 4031, 1419, 2232, 945, 814, 1569, 547, 519, 1344, 267, 875, 1419, 519, 1344, 666, 581, 15600, 267, 2436, 12215, 666, 581, 1500, 267, 1018, 5638, 666, 581, 6854, 267, 543, 2436, 3791, 18407, 23930, 568, 15868, 563, 279, 269, 274, 3657, 12820, 13886, 547, 4163, 856, 840, 15041, 7877, 11974, 593, 17053, 5520, 630, 7945, 607, 7803, 2594, 11974, 25145, 32715, 619, 616, 15868, 547, 2932, 840, 15041, 7877, 11974, 269, 14146, 619, 1590, 16783, 609, 5313, 4031, 602, 2149, 23078, 689, 796, 32016, 7130, 543, 674, 290, 6938, 950, 735, 4979, 4282, 1344, 563, 6624, 2829, 723, 4031, 12044, 875, 17053, 5520, 685, 7803, 543, 5491, 1686, 666, 581, 1031, 538, 7694, 3664, 563, 279, 269, 275, 3657, 12820, 13886, 547, 6895, 606, 9441, 779, 15737, 267, 15146, 7125, 610, 946, 540, 606, 16108, 779, 2780, 1062, 888, 2304, 16108, 814, 519, 1318, 547, 6895, 922, 1378, 3959, 269, 14146, 619, 616, 13886, 547, 6895, 5904, 267, 13763, 267, 543, 824, 5907, 3457, 602, 519, 16108, 22595, 269, 7201, 519, 18329, 18058, 21041, 2920, 540, 476, 2735, 277, 267, 12820, 616, 15868, 547, 6895, 9441, 10618, 952, 972, 568, 513, 16048, 1870, 3483, 610, 952, 519, 9441, 814, 931, 5034, 563, 1805, 919, 723, 849, 21892, 6042, 12044, 519, 5464, 540, 9441, 2534, 563, 279, 269, 276, 2052, 606, 16108, 1852, 606, 9441, 779, 946, 540, 1514, 2923, 538, 610, 3544, 519, 9036, 888, 7212, 606, 16108, 949, 3970, 606, 9441, 779, 946, 540, 1514, 2923, 1282, 2324, 3108, 543, 519, 1259, 538, 799, 621, 568, 1031, 3823, 519, 16108, 779, 1870, 267, 519, 16108, 779, 1852, 568, 3908, 676, 519, 715, 299, 6938, 543, 10858, 1533, 4031, 269, 634, 715, 299, 6938, 14014, 5520, 685, 2924, 547, 4497, 538, 968, 31695, 13447, 539, 2534, 5608, 799, 2882, 1514, 2923, 2022, 902, 543, 5717, 269, 2368, 2829, 723, 8045, 4031, 12145, 875, 606, 16108, 949, 1852, 606, 9441, 779, 946, 540, 1514, 2923, 563, 280, 269, 7040, 6657, 543, 26488, 454, 280, 269, 272, 6904, 10470, 610, 5513, 684, 1023, 723, 16278, 547, 5873, 7694, 5829, 20286, 543, 1018, 568, 741, 5888, 888, 293, 3985, 10470, 723, 16278, 547, 7755, 644, 6510, 7694, 5829, 2665, 16109, 856, 540, 5313, 7694, 1876, 543, 7694, 2665, 1141, 519, 6105, 616, 4961, 540, 1114, 2829, 610, 513, 1875, 268, 18197, 2276, 12504, 563, 13750, 10470, 723, 3376, 16278, 543, 5873, 2665, 16109, 856, 540, 1533, 610, 5313, 1876, 6811, 563, 293, 3985, 8041, 971, 607, 519, 661, 292, 8016, 267, 519, 667, 5357, 267, 543, 519, 715, 28384, 289, 723, 519, 16278, 936, 7694, 5829, 6811, 16109, 856, 540, 5313, 4031, 563, 280, 269, 273, 1548, 5650, 10039, 547, 7694, 5829, 20286, 286, 1772, 598, 16624, 16601, 1354, 513, 24255, 666, 8399, 286, 6496, 606, 9441, 723, 547, 2628, 513, 13927, 547, 10505, 513, 3409, 888, 763, 5773, 4096, 593, 519, 8468, 538, 799, 519, 24255, 568, 4547, 563, 5278, 10470, 2154, 16601, 598, 16624, 269, 19227, 267, 621, 568, 17319, 269, 634, 661, 292, 8016, 568, 2838, 676, 5313, 29417, 547, 3801, 547, 8207, 4681, 540, 7130, 998, 598, 16624, 563, 2252, 513, 3540, 27779, 568, 4547, 267, 10858, 12375, 786, 4019, 267, 855, 972, 568, 1100, 13927, 585, 25937, 513, 3409, 609, 606, 11889, 8116, 563, 280, 269, 274, 1215, 1279, 798, 7694, 5829, 20286, 3335, 1491, 547, 581, 4956, 888, 2467, 568, 1100, 7833, 3259, 540, 942, 563, 280, 269, 275, 1772, 621, 2009, 547, 9029, 1996, 513, 1101, 3236, 3375, 543, 952, 865, 267, 875, 1279, 798, 971, 22587, 2356, 1491, 888, 8133, 267, 3664, 616, 9029, 762, 269, 15380, 267, 972, 1590, 581, 513, 3803, 15194, 1354, 513, 3375, 666, 581, 4300, 4705, 267, 855, 954, 32643, 21881, 630, 514, 23059, 264, 22587, 616, 4847, 538, 3908, 6381, 269, 1703, 568, 1100, 7833, 3259, 540, 942, 585, 606, 9029, 563, 1015, 269, 15863, 547, 5046, 268, 866, 454, 1015, 269, 272, 3657, 972, 1022, 10151, 2027, 3800, 538, 1747, 547, 1489, 5520, 543, 4213, 1282, 519, 5046, 268, 866, 6595, 888, 763, 7731, 3689, 27649, 15863, 2920, 630, 13697, 290, 6938, 264, 543, 519, 27334, 2464, 2920, 9450, 29482, 6369, 4734, 543, 13864, 3795, 585, 5520, 543, 3177, 10211, 3681, 585, 12820, 269, 634, 9796, 13765, 10466, 5358, 630, 13048, 303, 264, 2636, 14718, 12820, 547, 1491, 856, 8483, 22133, 1507, 1870, 12029, 547, 3382, 2628, 2651, 3790, 267, 16108, 1895, 1072 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1889, 5501, 540, 3262, 1070, 543, 11708, 630, 3697, 3046, 12125, 267, 2650, 12125, 267, 543, 1277, 9999, 1040, 1452, 2645, 948, 9414, 3466, 543, 3347, 1369, 1239, 5036, 780, 1262, 275, 20804, 414, 481, 352, 17438, 4112, 7134, 12533, 23536, 1464, 25221, 875, 2693, 1978, 2621, 616, 269, 5994, 1166, 6235, 513, 11777, 269, 1703, 616, 1079, 2009, 4093, 281, 9843, 610, 21217, 269, 3962, 814, 513, 5506, 540, 476, 272, 270, 273, 2094, 972, 781, 1152, 835, 15028, 6364, 856, 540, 1079, 8449, 2693, 7399, 269, 6684, 267, 12902, 513, 5884, 3947, 3670, 1761, 2164, 630, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 5148, 8754, 267, 1142, 6364, 781, 5506, 11224, 476, 272, 270, 277, 269, 11822, 267, 1318, 2496, 3086, 1577, 781, 1294, 1946, 1620, 891, 9238, 6927, 1256, 3544, 1449, 7041, 269, 14597, 596, 2445, 15798, 17850, 338, 1282, 4832, 16314, 269, 4635, 12980, 267, 596, 666, 1293, 873, 3533, 269, 2060, 9511, 267, 4766, 741, 3337, 267, 2450, 267, 543, 11460, 269, 16792, 7194, 267, 5659, 1114, 2010, 1336, 267, 1247, 5506, 13071, 596, 7058, 1018, 596, 1522, 3605, 14182, 256, 6423, 286, 10606, 2731, 798, 4341, 519, 1158, 256, 9462, 502, 488, 692, 2026, 8049, 17701, 267, 8026, 2042, 543, 17118, 786, 7794, 707, 9787, 540, 891, 3584, 269, 5457, 267, 1169, 4274, 3323, 12341, 267, 865, 1810, 1405, 5855, 952, 1919, 1745, 4101, 7620, 269, 3807, 1832, 3843, 267, 3251, 3461, 267, 543, 2972, 19586, 532, 519, 5898, 540, 6128, 269, 8414, 4974, 256, 9462, 492, 487, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8368, 540, 12937, 454, 291, 8123, 17540, 638, 320, 631, 8379, 4985, 454, 2252, 596, 2811, 606, 14971, 6205, 17935, 547, 20630, 519, 6422, 1158, 540, 1870, 267, 16099, 631, 8379, 630, 22913, 538, 5004, 5525, 264, 1982, 1223, 581, 707, 19044, 269, 901, 3884, 1405, 1175, 1776, 1576, 267, 855, 513, 13710, 3460, 5356, 606, 3872, 1995, 2966, 547, 16491, 596, 609, 519, 1898, 1983, 543, 1702, 596, 991, 547, 1796, 856, 563, 5331, 1373, 27153, 538, 513, 11826, 6437, 267, 1565, 689, 12021, 12200, 267, 543, 7680, 513, 10319, 1604, 602, 22316, 596, 547, 10994, 1950, 1870, 2591, 269, 16514, 519, 9434, 1764, 596, 1223, 1118, 538, 707, 6074, 2361, 563, 763, 631, 8379, 1982, 693, 16099, 17540, 638, 320, 568, 513, 3102, 10189, 267, 602, 3091, 811, 982, 1175, 7811, 1702, 269, 898, 11363, 5718, 267, 5088, 806, 2518, 5380, 267, 543, 8992, 23913, 1565, 269, 898, 781, 606, 3872, 3760, 602, 10114, 999, 5647, 267, 7512, 5683, 3375, 6194, 267, 543, 11942, 8537, 5718, 563, 3719, 602, 781, 711, 782, 269, 13966, 609, 606, 5140, 4081, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 13043, 4813, 27909, 543, 16610, 257, 607, 851, 540, 834, 4306, 11070, 312, 15978, 1315, 17918, 630, 24836, 9958, 5004, 1520, 3939, 4530, 29215, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8702, 547, 938, 1576, 1770, 827, 3652, 543, 6042, 538, 5026, 543, 18883, 256, 4653, 649, 3513, 1451, 827, 1946, 1739, 3652, 568, 1271, 950, 4730, 3756, 543, 2348, 1187, 269, 1284, 786, 946, 1114, 6698, 547, 1174, 519, 1523, 1732, 267, 1175, 899, 875, 1004, 946, 6698, 538, 3381, 3756, 543, 824, 2238, 780, 5331, 596, 616, 4730, 513, 3014, 1572, 834, 31359, 8490, 1701, 901, 3014, 3322, 1210, 6698, 899, 2370, 8075, 547, 2099, 1585, 1919, 538, 1272, 267, 971, 607, 1920, 630, 18244, 1070, 5763, 630, 329, 1168, 1564, 1070, 4987, 630, 842, 5878, 1070, 543, 811, 269, 3962, 2777, 4564, 1945, 3407, 267, 543, 5329, 891, 3688, 2922, 568, 1898, 1247, 3001, 873, 1282, 513, 6360, 267, 585, 1383, 780, 1103, 713, 19858, 9183, 267, 1577, 781, 2161, 972, 781, 513, 8498, 2282, 513, 5757, 1141, 3885, 2661, 25747, 269, 1717, 267, 835, 1554, 789, 5873, 930, 3983, 3377, 910, 21340, 3401, 1616, 547, 1628, 513, 5458, 2481, 799, 786, 2014, 14700, 267, 16550, 3025, 547, 4734, 741, 2025, 2729, 3297, 269, 1677, 2149, 1018, 6927, 1034, 267, 1142, 1920, 666, 1152, 1491, 513, 3908, 1297, 540, 1412, 17346, 262, 1107, 8204, 741, 6068, 3283, 267, 22590, 267, 543, 1256, 10130, 1107, 547, 2362, 2666, 780, 3086, 4952, 952, 2576, 4769, 1405, 1246, 519, 3652, 543, 6836, 547, 14229, 752, 3063, 1412, 17346, 262, 5196, 519, 3106, 7997, 269, 3502, 1152, 1281, 713, 2322, 3025, 693, 1981, 676, 2921, 2200, 2476, 689, 1346, 945, 5963, 991, 873, 267, 855, 8840, 519, 3652, 949, 1267, 538, 20507, 610, 4539, 1369, 519, 3014, 1158, 269, 3807, 899, 538, 1483, 1272, 267, 705, 4575, 676, 4808, 1305, 8521, 5849, 14619, 267, 8952, 3025, 2922, 267, 543, 2337, 2226, 3666, 780, 5194, 3510, 1141, 3652, 2097, 883, 1404, 568, 2228, 11080, 269, 1879, 5716, 1711, 10600, 543, 2671, 1543, 267, 789, 7048, 593, 1978, 3741, 547, 2061, 18977, 6165, 610, 12879, 269, 1280, 3236, 267, 950, 2870, 2157, 610, 4687, 2994, 585, 2442, 3756, 899, 670, 14900, 5606, 9548, 267, 32266, 1522, 8415, 1808, 2645, 610, 9479, 269, 1635, 20170, 547, 10677, 4031, 543, 18245, 8284, 15888, 267, 519, 2146, 3788, 7524, 267, 5499, 267, 543, 5150, 269, 15329, 908, 891, 3652, 998, 533, 16820, 610, 32533, 21219, 519, 1995, 585, 1866, 543, 14944, 1149, 3972, 1851, 3755, 780, 2414, 2040, 909, 267, 2436, 621, 781, 513, 4604, 3014, 693, 1753, 610, 606, 2228, 3818, 16651, 7045, 267, 1620, 543, 1073, 324, 3539, 3652, 5932, 513, 2318, 1604, 585, 3025, 3238, 269, 1306, 3743, 4961, 543, 2104, 3401, 267, 1565, 547, 5660, 543, 17997, 3652, 2038, 593, 5036, 721, 909, 585, 3152, 10781, 1524, 519, 4155, 269, 3767, 979, 856, 972, 543, 2972, 707, 5172, 2250, 1307, 609, 16012, 7071, 585, 519, 2956, 540, 3652, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 14818, 4032, 12834, 2985, 540, 782, 2489, 7194, 543, 9623, 267, 1759, 593, 2179, 540, 7653, 543, 1031, 1806, 269, 634, 8075, 21843, 6606, 281, 1272, 267, 2123, 3959, 267, 931, 1481, 6541, 267, 13284, 1127, 267, 1453, 543, 9925, 1564, 267, 1072, 267, 7365, 543, 1576, 540, 4831, 10880, 8038, 11360, 6073, 540, 2669, 543, 18472, 267, 6457, 543, 29916, 849, 1279, 15322, 267, 2990, 538, 1272, 543, 14064, 885, 267, 2828, 543, 1967, 267, 14763, 543, 3765, 325, 28232, 269, 1403, 596, 3251, 1934, 267, 596, 1590, 6582, 585, 1200, 547, 3434, 12129, 585, 596, 269, 1403, 596, 2461, 3168, 585, 513, 3579, 4739, 602, 568, 513, 2656, 543, 2653, 667, 269, 4004, 1235, 1185, 4956, 547, 1628, 513, 2481, 543, 519, 7297, 540, 519, 10720, 1131, 3382, 3388, 267, 543, 27142, 941, 547, 4163, 741, 1453, 267, 5321, 543, 2831, 547, 1847, 873, 909, 519, 25545, 5032, 540, 772, 978, 584, 519, 23826, 269, 20305, 945, 723, 24648, 527, 1493, 1569, 1223, 3362, 5299, 519, 1543, 610, 1118, 2242, 538, 1863, 4647, 1750, 1846, 10300, 334, 12808, 1543, 267, 2671, 621, 609, 1866, 610, 1118, 621, 2139, 593, 519, 5769, 269, 25550, 1426, 814, 6591, 865, 1454, 8560, 602, 586, 334, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 9501, 3036, 4811, 1299, 23414, 3918, 9569, 1315, 13129, 1315, 16390, 543, 22769, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 5149, 476, 275, 281, 3590, 595, 8712, 538, 21952, 7010, 692, 1103, 713, 1770, 267, 649, 786, 5490, 883, 1062, 7125, 267, 799, 616, 693, 519, 2295, 540, 1022, 5665, 1062, 630, 5308, 1040, 589, 1062, 1289, 2636, 3593, 3292, 547, 7662, 2533, 3177, 676, 519, 13013, 17830, 267, 971, 607, 1184, 2359, 267, 3758, 12879, 267, 3060, 2792, 267, 543, 3926, 1852, 269, 4197, 875, 1062, 7125, 960, 568, 1898, 585, 3384, 3608, 543, 5150, 3156, 602, 666, 2170, 16900, 609, 2413, 13013, 338, 269, 1635, 3695, 519, 946, 540, 1062, 7125, 998, 519, 7828, 540, 4058, 513, 16806, 267, 607, 13269, 538, 519, 2546, 21626, 267, 596, 786, 2744, 3407, 4030, 883, 741, 4052, 6286, 780, 275, 269, 272, 6713, 5004, 3590, 595, 8712, 454, 29432, 5331, 1520, 5202, 543, 31839, 12251, 6679, 741, 24195, 547, 1376, 12180, 741, 14232, 8356, 696, 10118, 1210, 1585, 3301, 2645, 269, 3962, 3498, 8255, 607, 513, 5094, 1184, 7307, 676, 519, 13013, 269, 1677, 1711, 891, 3157, 267, 789, 1131, 8415, 1184, 5137, 1062, 7125, 899, 2387, 325, 1251, 13237, 610, 2387, 1410, 1815, 265, 13237, 269, 1452, 3252, 5512, 873, 547, 10131, 1007, 3156, 2838, 585, 5883, 14538, 267, 2870, 1045, 14591, 267, 9477, 19954, 309, 11679, 267, 543, 7829, 824, 3344, 540, 741, 2027, 1554, 780, 275, 269, 273, 11711, 28294, 1637, 3590, 595, 8712, 454, 5785, 14945, 2026, 851, 540, 519, 7041, 267, 1520, 5202, 1522, 1616, 547, 1374, 1200, 5326, 16806, 10571, 1759, 593, 5961, 1352, 814, 10710, 538, 3239, 6119, 269, 2701, 949, 849, 991, 547, 12575, 6054, 5627, 1344, 827, 21527, 267, 28503, 267, 543, 16131, 269, 769, 1312, 2665, 267, 3758, 594, 23860, 1062, 7125, 1404, 513, 2629, 1909, 269, 634, 2387, 13449, 3890, 12452, 2387, 1348, 3890, 12452, 2387, 31095, 3890, 12452, 543, 2387, 29148, 13237, 3252, 1450, 1520, 5202, 547, 1569, 1239, 6740, 538, 6119, 7561, 267, 4180, 602, 1169, 2460, 540, 1200, 16806, 4566, 3788, 6896, 543, 909, 3562, 15082, 780, 275, 269, 274, 8416, 9442, 3590, 595, 8712, 454, 5785, 19567, 4415, 2828, 543, 1920, 16559, 2066, 1114, 6753, 267, 5329, 3025, 5483, 827, 519, 2680, 3340, 2500, 13033, 7207, 269, 590, 2056, 15737, 267, 4687, 6337, 3842, 6531, 4859, 267, 610, 10004, 1154, 2228, 782, 4125, 3060, 10618, 13087, 676, 23094, 5752, 269, 4635, 1062, 7125, 899, 2387, 338, 12714, 3890, 12452, 2387, 321, 785, 3890, 12452, 2387, 4289, 523, 3890, 12452, 2387, 23100, 3890, 12452, 543, 2387, 338, 754, 3890, 12452, 1520, 5202, 543, 31839, 12251, 666, 1628, 7347, 7817, 1606, 13996, 25121, 547, 7520, 5347, 5698, 1851, 8639, 3238, 538, 1818, 741, 2462, 1554, 12300, 780, 275, 269, 275, 27620, 6513, 3590, 595, 8712, 454, 28598, 2414, 7001, 10475, 8090, 1282, 519, 16008, 543, 21200, 267, 1520, 5202, 543, 31839, 12251, 1223, 1305, 909, 12514, 4448, 547, 741, 5904, 269, 1358, 1131, 7048, 593, 3926, 1852, 1062, 7125, 899, 2387, 1470, 551, 331, 13237, 547, 19022, 8254, 5468, 20716, 267, 3850, 873, 547, 1491, 1164, 7779, 11147, 1510, 9308, 14577, 519, 3457, 269, 901, 9727, 875, 1970, 7400, 1062, 29782, 2709, 3532, 29356, 3681, 585, 3755, 950, 15025, 609, 13020, 1023, 7923, 547, 741, 1949, 780, 275, 269, 276, 8232, 19047, 585, 3590, 595, 8712, 454, 14343, 19030, 5522, 8911, 513, 3811, 16806, 1419, 3322, 6213, 1344, 267, 971, 607, 2883, 3877, 267, 2123, 3346, 9623, 267, 543, 14804, 16823, 7375, 269, 4475, 267, 621, 568, 14063, 547, 2327, 3354, 1247, 9001, 1062, 7125, 269, 1280, 3236, 267, 1697, 5470, 10992, 1058, 581, 8045, 1310, 10912, 5399, 3252, 28277, 1472, 1062, 7125, 547, 13182, 2953, 11056, 269, 5015, 267, 28142, 22864, 1210, 2409, 899, 12380, 781, 647, 573, 7271, 5849, 8766, 4323, 2627, 950, 22589, 2565, 4247, 5473, 5007, 11378, 780, 6962, 454, 29603, 21902, 7125, 1106, 519, 22449, 540, 2413, 7384, 267, 7175, 721, 547, 1685, 1950, 4238, 7561, 543, 3927, 269, 3414, 938, 3408, 540, 1520, 5202, 543, 31839, 12251, 781, 3460, 2509, 7365, 267, 649, 723, 6591, 3946, 6823, 1995 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 541, 531, 293, 3985, 22798, 2160, 540, 623, 1716, 3711, 1075, 334, 454, 14503, 822, 807, 23849, 935, 4897, 657, 293, 3985, 2160, 540, 623, 1716, 3711, 1075, 334, 454, 13825, 14244, 661, 706, 16037, 10548, 657, 293, 3985, 2160, 540, 623, 1716, 3711, 1075, 334, 454, 300, 2117, 657, 4446, 4592, 293, 3985, 2160, 540, 623, 1716, 3711, 1075, 334, 454, 300, 7559, 13005, 3400, 9809, 320, 7581, 2684, 553, 17206, 540, 5824, 12677, 16949, 454, 31466, 3559, 2961, 333, 1470, 293, 3985, 2160, 540, 590, 14244, 24883, 454, 307, 817, 10005, 2961, 1998, 14833, 293, 3985, 2160, 540, 623, 1716, 3711, 1075, 334, 454, 11749, 323, 597, 2142, 10045, 571, 293, 3985, 2160, 540, 623, 1716, 3711, 1075, 334, 454, 310, 531, 638, 6403, 6319, 10011, 601, 334, 645, 3757, 1723, 290, 2464, 2752, 3427, 454, 3849, 11253, 20703, 2088, 18850, 761, 531, 12770, 21280, 2946, 632, 2836, 323, 553, 2160, 267, 2051, 20110, 3387, 807, 454, 8334, 22354, 516, 623, 12298, 293, 3985, 2160, 540, 590, 1120, 6559, 267, 8478, 454, 13142, 10964, 4432, 6953, 8643, 293, 3985, 2160, 540, 15840, 807, 267, 8478, 454, 292, 706, 16037, 18307, 1722, 18200, 25534, 293, 3985, 2160, 540, 3687, 553, 717, 5028, 529, 267, 8478, 454, 291, 24387, 632, 2826, 334, 1234, 345, 29868, 17206, 540, 590, 14244, 6754, 334, 267, 8478, 454, 290, 2077, 10730, 20917, 657, 17206, 540, 590, 14244, 6754, 334, 267, 8478, 454, 4517, 516, 807, 2871, 518, 571, 4753, 293, 4953, 7304, 297, 267, 8478, 454, 3674, 8475, 6742, 1231, 293, 3985, 2160, 540, 21586, 632, 13191, 10098, 267, 8478, 454, 13070, 755, 27713, 1520, 14243, 10961, 5174, 9545, 334, 31807, 523, 657, 589, 2231, 2160, 267, 18335, 454, 300, 9222, 2372, 842, 534, 8759, 8566, 1738, 320, 303, 2632, 604, 673, 10713, 21059, 540, 16266, 267, 16266, 454, 297, 525, 704, 590, 329, 7238, 1598, 7238, 332, 22416, 332, 7238, 2160, 2676, 295, 2801, 5025, 324, 1530, 334, 303, 639, 534, 2817, 2160, 267, 9705, 454, 297, 2129, 13860, 6682, 778, 334, 30781, 5451, 548, 345, 17206, 540, 16266, 267, 16266, 454, 303, 539, 549, 681, 5255, 320, 13121, 1234, 529, 17206, 540, 28988, 2548, 267, 17577, 454, 295, 698, 641, 589, 269, 962, 659, 12874, 1014, 8867, 3316, 3150, 1977, 2160, 267, 26288, 454, 10387, 23158, 2279, 517, 810, 715, 327, 1446, 341, 559, 334, 17206, 623, 14243, 978, 340, 11726, 267, 20787, 3711, 1664, 454, 306, 557, 514, 590, 329, 21417, 6199, 17206, 540, 14642, 5979, 267, 16157, 454, 17556, 557, 1325, 338, 641, 312, 1251, 2160, 267, 4516, 454, 2750, 1815, 5737, 8274, 594, 302, 4306, 292, 454, 289, 597, 326, 527, 974, 700, 1495, 715, 1408, 11420, 263, 5353, 4038, 776, 994, 2414, 1294, 2407, 476, 1708, 271, 268, 1708, 273, 4604, 4945, 1934, 454, 763, 3308, 3961, 540, 519, 594, 302, 4306, 292, 5204, 24007, 476, 1708, 273, 568, 1759, 593, 1535, 559, 690, 9545, 3120, 1148, 269, 2473, 559, 690, 9545, 3120, 568, 606, 23678, 1324, 4480, 538, 799, 3574, 568, 1031, 607, 513, 5119, 543, 6087, 519, 12093, 540, 519, 3239, 23678, 1386, 593, 1957, 610, 824, 5078, 1489, 269, 898, 781, 513, 1184, 1454, 899, 513, 16826, 563, 10214, 1373, 513, 4480, 2919, 2094, 2540, 17886, 538, 4457, 2528, 543, 1031, 538, 3864, 1647, 12698, 267, 538, 29036, 540, 8478, 621, 729, 6451, 607, 513, 2686, 23314, 547, 4564, 2442, 2984, 540, 519, 9889, 22941, 543, 12563, 14868, 689, 27040, 1004, 269, 901, 23314, 729, 998, 519, 1572, 10260, 601, 3332, 267, 9256, 519, 1535, 559, 690, 9545, 3120, 1148, 609, 6965, 547, 2995, 827, 2686, 2609, 689, 29036, 3148, 563, 763, 1292, 2909, 7588, 1014, 7376, 689, 1535, 559, 690, 9545, 3120, 543, 10260, 601, 3332, 616, 16500, 7079, 6341, 4815, 267, 21280, 2946, 22728, 2274, 924, 267, 808, 269, 16907, 2471, 267, 2549, 16619, 12770, 552, 21280, 2946, 7200, 1066, 9809, 334, 269, 1411, 666, 1451, 811, 827, 873, 543, 824, 11347, 2686, 23314, 689, 8478, 693, 5291, 2517, 4178, 6983, 333, 325, 31983, 10993, 269, 1962, 27651, 21703, 454, 24730, 8738, 2023, 23044, 20308, 454, 290, 1328, 715, 525, 4226, 29910, 2022, 454, 21837, 14811, 3835, 31917, 595, 690, 454, 24730, 8738, 2023, 23044, 20308, 454, 15900, 19396, 12824, 630, 893, 569, 3989, 607, 1346, 13752, 12854, 1100, 811, 982, 2947, 1296, 3516, 264, 543, 12854, 10457, 616, 14376, 547, 6443, 519, 2027, 7886, 15469, 676, 30619, 594, 302, 4306, 292, 32600, 476, 1708, 273, 269, 25392, 1312, 2516, 786, 581, 519, 2104, 540, 519, 2146, 540, 2257, 2069, 543, 540, 594, 302, 4306, 292, 267, 713, 4316, 786, 1683, 513, 6131, 2230, 547, 1865, 9691, 519, 2104, 540, 1382, 538, 2257, 2069, 267, 519, 2591, 543, 3255, 585, 2038, 13282, 518, 3173, 543, 12854, 1053, 267, 543, 547, 2743, 543, 26250, 9164, 267, 1205, 547, 917, 1142, 824, 2090, 685, 543, 7654, 1628, 2104, 21769, 563, 22473, 4306, 292, 476, 1708, 273, 786, 723, 513, 2027, 840, 8410, 12401, 607, 513, 11812, 585, 519, 476, 736, 628, 7160, 540, 519, 594, 302, 4306, 292, 32600, 269, 634, 1982, 786, 581, 13988, 609, 519, 10554, 2489, 6249, 563, 292, 6577, 807, 631, 269, 681, 798, 2549, 541, 531, 630, 293, 3985, 22798, 2160, 540, 623, 1716, 3711, 1075, 334, 994, 19878, 10730, 6682, 21034, 630, 293, 3985, 2160, 540, 13244, 9697, 541, 2088, 994, 306, 15120, 3570, 772, 3464, 328, 630, 17206, 540, 590, 14244, 6754, 334, 994, 2421, 30619, 6021, 281, 1789, 910, 476, 1321, 281, 876, 454, 2421, 30619, 1691, 281, 876, 910, 476, 1704, 281, 876, 454, 2421, 30619, 1428, 281, 876, 910, 476, 1626, 281, 1789, 454, 2421, 30619, 1626, 281, 1789, 910, 476, 866, 281, 1789, 454, 2421, 30619, 1240, 281, 876, 910, 476, 736, 281, 876, 454, 2421, 30619, 1626, 281, 876, 910, 476, 1240, 281, 876, 454, 13356, 476, 272, 560, 630, 1708, 272, 264, 910, 4924, 476, 1428, 628, 267, 476, 1708, 273, 454, 11321, 476, 2641, 628, 910, 3057, 476, 4029, 628, 267, 476, 1708, 273, 454, 14257, 476, 272, 628, 910, 4455, 476, 1428, 628, 267, 476, 1708, 273, 454, 9802, 476, 272, 560, 267, 476, 1708, 273, 454, 19878, 476, 272, 560, 267, 476, 1708, 273, 454, 763, 3803, 3903, 540, 519, 1110, 1275, 14261, 630, 514, 16512, 610, 5691, 264, 666, 581, 1500, 693, 519, 4090, 540, 519, 8569, 269, 3973, 267, 952, 596, 1689, 707, 2247, 827, 519, 1110, 1275, 267, 596, 666, 1689, 621, 1310, 519, 10343, 540, 707, 1957, 543, 538, 519, 4090, 540, 519, 8569, 563, 16521, 707, 5172, 1780, 585, 519, 2680, 281, 21362, 5928, 786, 1376, 538, 5412, 476, 272, 560, 454, 8256, 18790, 519, 21376, 1764, 540, 5046, 268, 866, 6855, 1472, 519, 1158, 543, 519, 7029, 540, 594, 302, 4306, 292, 547, 581, 513, 8468, 602, 11942, 4763, 543, 513, 12683, 7589, 540, 1114, 4525, 540, 519, 1158, 267, 519, 12180, 12233, 24973, 609, 519, 594, 302, 4306, 292, 4604, 723, 4956, 547, 1711, 1079, 2516, 585, 14261, 12375, 269, 1452, 1079, 2516, 941, 1305, 2687, 547, 519, 24162, 23582, 6828, 630, 294, 7894, 264, 540, 1142, 2197, 563, 763, 15376, 13927, 24843, 476, 736, 568, 3769, 538, 519, 14261, 13927, 2418, 563, 763, 14261, 13927, 2882, 6980, 630, 331, 4875, 543, 6995, 2736, 264, 543, 2326, 585, 538, 16512, 1110, 1275, 269, 898, 1281, 711, 1331, 22098, 269, 1280, 538, 16512, 1110, 1275, 972, 786, 581, 513, 7523, 320, 12129, 676, 28455, 269, 2859, 1344, 786, 581, 2139, 4166, 563, 763, 18913, 13927, 2882, 6980, 630, 331, 4875, 543, 6995, 2736, 264, 543, 519, 7589, 538, 519, 1883, 17084, 10554, 563, 27026, 476, 272, 281, 2477, 609, 1164, 12654, 454, 5719, 5586, 919, 689, 782, 2477, 991, 547, 11578, 607, 689, 1164, 12654, 18831, 267, 4849, 519, 1970, 12654, 593, 713, 1592, 630, 28781, 1934, 994, 27026, 476, 273, 281, 2477, 609, 1970, 12654, 454, 2026, 1014, 2477, 630, 5976, 1739, 17756, 281, 15840, 1778, 267, 5696, 2317, 328, 11023, 1380, 15401, 267, 15173, 15158, 590, 2752, 267, 5840, 267, 3567, 267, 6243, 540, 9705, 267, 918, 17703, 7159, 267, 5839, 879, 590, 2752, 267, 1627, 20345, 267, 14135, 267, 32329, 1916, 31142, 1977, 2477, 630, 1410, 4003, 281, 15840, 24252, 1916, 763, 1739, 2477, 538, 9962, 2342, 281, 24640, 807, 267, 18433, 807, 267, 29494, 13568, 267, 5617, 22654, 267, 18548, 11844, 6953, 518, 345, 1122, 990, 2088, 267, 31697, 267, 23886, 807, 267, 16231, 6243, 267, 6480, 8205, 267, 11908, 267, 10255, 267, 21640, 267, 27782, 16330, 267, 24230, 26785, 267, 4678, 16129, 267, 26403, 807, 267, 674, 312, 305, 540, 24765, 8205, 267, 27718, 13960, 267, 3933, 1084, 1122, 549, 267, 12996, 267, 17577, 267, 27597, 267, 6576, 267, 28993, 267, 30355, 25474, 267, 6215, 8576, 807, 267, 307, 584, 4486, 543, 12907, 563, 8138, 332, 3827, 616, 2139, 3842, 519, 3760, 267, 1310, 11264, 707, 14261, 14467, 1934, 269, 634, 14261, 8569, 568, 711, 2838, 585, 11556, 22347, 3827, 454, 2791, 666, 4647, 519, 11556, 19169, 3391, 14467, 1934, 454, 8138, 332, 3827, 6905, 676, 5988, 476, 1428, 628, 267, 476, 1708, 273, 454, 763, 6249, 540, 519, 594, 302, 4306, 292, 476, 1708, 273, 32600, 568, 10507, 704, 534, 9809, 541, 538, 7334, 2053, 281, 519, 1909, 540, 2257, 543, 2029, 2069, 538, 513, 4657, 1158, 269, 901, 6249, 17613, 519, 13766, 547, 1589, 827, 519, 6935, 1063, 2257, 543, 2029, 538, 513, 3376, 1259, 267, 2519, 593, 875, 713, 1702, 666, 948, 721, 538, 7231, 609, 513, 1158, 538, 3586, 1689, 269, 3973, 267, 621, 568, 1271, 547, 11168, 519, 2470, 540, 713, 1702, 267, 609, 2686, 543, 1480, 2418, 267, 10223, 519, 13319, 540, 5188, 2066, 2797, 543, 20748, 10665, 547, 5431, 6940, 267, 2686, 4763, 543, 3486, 1620, 563, 1103, 713, 2631, 267, 649, 16436, 782, 519, 2146, 547, 10505, 707, 1957, 610, 1623, 1842, 807, 2687, 547, 519, 1739, 22204, 912, 1805, 8681, 476, 272, 281, 9906, 1620, 543, 1565, 538, 5254, 292, 630, 22923, 8404, 543, 1719, 538, 5254, 292, 994, 1805, 8681, 476, 273, 281, 9752, 2257, 543, 2029, 538, 3309, 8658, 630, 1103, 845, 531, 2069, 540, 2257, 543, 2029, 994, 1805, 8681, 476, 274, 281, 2422, 540, 3872, 2029, 538, 5254, 292, 454, 1805, 8681, 476, 275, 281, 11819, 2069, 543, 3318, 1646, 538, 5254, 292, 454, 1805, 8681, 476, 276, 281, 14451, 4065, 538, 5254, 292, 454, 1805, 8681, 476, 277, 281, 8836, 267, 4317, 543, 13834, 12983, 538, 5254, 292, 454, 1805, 8681, 476, 278, 281, 7981, 543, 8537, 2069, 538, 5254, 292, 454, 1805, 8681, 476, 279, 281, 7025, 543, 2657, 5380, 538, 5254, 292, 454, 1805, 8681, 476, 280, 281, 3778, 267, 15257, 543, 6138, 538, 5254, 292, 454, 1805, 8681, 476, 1015, 281, 1546, 24645, 267, 4317, 10456, 267, 11879, 543, 17992, 894, 5380, 538, 5254, 292, 454, 763, 30619, 594, 302, 4306, 292, 4139, 32600, 786, 16153, 1614, 2010, 540, 1957, 14245, 267, 585, 1312, 538, 16512, 543, 5691, 1110, 1275, 281, 32600, 282, 5403, 518, 8400, 543, 17266, 5711, 6881, 269, 1280, 1142, 540, 873, 267, 7418, 666, 581, 12170, 2090, 610, 7811, 270, 6348, 15041, 2869, 673, 2090, 269, 2353, 18747, 1590, 581, 3312, 602, 723, 711, 1044, 3370, 610, 4843, 693, 1022, 824, 10554, 563, 15228, 24007, 281, 901, 6881, 3898, 6087, 547, 24973, 22113, 513, 1888, 689, 2789, 5380, 267, 3246, 513, 17396, 1305, 540, 3785, 585, 4901, 269, 3962, 1623, 24007, 786, 581, 6896, 676, 513, 11381, 17367, 543, 786, 2270, 476, 274, 910, 476, 276, 14245, 7282, 513, 1455, 1888, 540, 1719, 607, 1134, 607, 835, 1623, 24007, 1865, 656, 269, 634, 1623, 24007, 568, 16516, 585, 476, 3445, 18826, 7886, 267, 540, 799, 519, 3803, 476, 1789, 3764, 616, 547, 581, 15645, 730, 676, 519, 1865, 656, 547, 1930, 909, 585, 606, 538, 3829, 4901, 540, 519, 3785, 4843, 563, 763, 1623, 24007, 11381, 17367, 568, 538, 5279, 540, 26446, 912, 320, 264, 6881, 540, 519, 2898, 1623, 24007, 281, 2140, 267, 2110, 7493, 630, 5611, 1913, 693, 5021, 264, 543, 513, 5348, 18462, 585, 519, 2898, 1623, 24007, 630, 4335, 1913, 693, 5021, 267, 27195, 8100, 994, 321, 264, 519, 7493, 338, 543, 6905, 24096, 540, 519, 3769, 1367, 14245, 1818, 909, 519, 1623, 24007, 630, 5408, 2582, 5711, 14245, 585, 6044 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 25118, 267, 10441, 31404, 267, 10755, 13078, 267, 11793, 9826, 267, 11793, 8517, 267, 13040, 2568, 273, 267, 10482, 2412, 278, 267, 11820, 21497, 316, 4297, 7682, 263, 1047, 23974, 5560, 267, 314, 271, 267, 272, 267, 271, 267, 272, 267, 271, 267, 271, 267, 272, 267, 271, 267, 272, 267, 271, 267, 271, 267, 272, 8079, 2020, 344, 815, 476, 28670, 269, 18458, 277, 586, 815, 476, 17734, 269, 280, 6924, 271, 533, 815, 476, 1911, 5392, 273, 476, 6200, 17734, 476, 9083, 4962, 272, 476, 9083, 279, 3374, 476, 9818, 25118, 476, 10441, 31404, 476, 10755, 13078, 476, 11793, 9826, 476, 11793, 8517, 476, 13040, 2568, 273, 476, 10482, 2412, 278, 476, 11820, 21497, 546, 815, 476, 272, 9943, 1321, 9266, 5044, 476, 271, 476, 272, 476, 271, 476, 272, 476, 271, 476, 271, 476, 272, 476, 271, 476, 272, 476, 271, 476, 271, 476, 272, 692, 1321, 5231, 10426, 454, 343, 272, 815, 476, 1911, 1822, 271, 282, 1535, 273, 815, 476, 6200, 18089, 272, 282, 1496, 335, 28504, 316, 815, 20008, 21192, 5332, 13246, 3287, 272, 21726, 273, 264, 7682, 263, 1047, 23974, 9638, 267, 314, 1911, 5400, 273, 276, 267, 1911, 27628, 278, 267, 1911, 6872, 274, 273, 267, 1911, 279, 866, 271, 316, 4297, 7682, 263, 1047, 23974, 5560, 267, 314, 272, 267, 271, 267, 271, 267, 272, 8079, 2020, 344, 815, 476, 279, 1626, 269, 5780, 274, 274, 586, 815, 476, 279, 736, 269, 6507, 277, 277, 533, 815, 476, 1911, 5400, 273, 276, 476, 1911, 27628, 278, 476, 1911, 6872, 274, 273, 476, 1911, 279, 866, 271, 546, 815, 476, 272, 9943, 275, 9266, 5044, 476, 272, 476, 271, 476, 271, 476, 272, 0, 32637, 454, 9802, 476, 276, 267, 476, 1001, 277, 692, 258, 14581, 6435, 281, 8212, 692, 16829, 676, 32148, 593, 11728, 267, 4873, 476, 1626, 267, 476, 1001, 275, 693, 476, 280, 281, 6860, 10975, 780, 320, 5179, 3076, 1206, 513, 476, 1321, 4846, 2527, 547, 513, 4463, 540, 476, 1428, 7397, 693, 513, 1543, 6991, 538, 476, 274, 269, 276, 7643, 563, 320, 264, 1265, 519, 1379, 454, 321, 264, 952, 519, 5179, 568, 1152, 476, 3374, 260, 3608, 1265, 519, 3403, 1648, 454, 1892, 8212, 910, 12456, 517, 267, 11728, 267, 4873, 476, 1626, 267, 476, 1001, 275, 693, 476, 280, 281, 1428, 10975, 692, 4219, 538, 1761, 1648, 815, 544, 575, 554, 815, 476, 1321, 2608, 476, 280, 269, 10037, 2608, 476, 1428, 815, 476, 12293, 277, 808, 537, 956, 454, 12741, 815, 795, 537, 956, 829, 2034, 815, 476, 12293, 277, 270, 274, 269, 276, 815, 31746, 20242, 1206, 692, 19152, 1379, 815, 476, 31746, 28918, 1428, 815, 476, 28656, 274, 20242, 1206, 454, 19152, 1648, 815, 476, 28656, 274, 20242, 1206, 2608, 476, 1428, 7643, 815, 476, 2004, 267, 26493, 808, 537, 956, 0, 258, 17214, 292, 6470, 4530, 10022, 281, 4937, 589, 696, 3363, 910, 3590, 2986, 12307, 692, 28638, 5784, 692, 6011, 547, 4194, 971, 2055, 2496, 4958, 698, 3022, 454, 271, 454, 529, 20735, 476, 1428, 888, 271, 454, 1015, 786, 581, 519, 2626, 950, 579, 678, 2921, 1535, 317, 273, 607, 1455, 3330, 621, 786, 581, 476, 272, 21147, 317, 273, 21147, 317, 275, 21147, 317, 277, 2807, 1631, 621, 2241, 13382, 2243, 692, 6748, 2241, 4542, 7445, 16535, 558, 346, 301, 266, 337, 268, 272, 2410, 337, 4151, 265, 343, 317, 273, 337, 799, 568, 4399, 16535, 558, 346, 276, 2410, 273, 21456, 272, 692, 6545, 1002, 695, 12609, 1109, 15062, 585, 4542, 726, 313, 692, 271, 454, 5408, 713, 4542, 568, 4122, 1031, 538, 10451, 1599, 1888, 543, 10217, 1966, 1826, 2243, 538, 2036, 514, 582, 7879, 1318, 1631, 1775, 21645, 723, 1022, 3095, 579, 666, 3277, 1346, 1888, 630, 10472, 568, 1175, 11201, 540, 630, 272, 14870, 8203, 333, 454, 271, 454, 1877, 715, 284, 275, 267, 337, 284, 273, 454, 271, 454, 303, 1638, 856, 1101, 1535, 317, 273, 2073, 810, 621, 3587, 476, 272, 21147, 317, 273, 266, 2807, 780, 763, 3544, 1535, 317, 273, 3587, 1535, 317, 279, 1317, 540, 1379, 476, 275, 267, 11357, 339, 847, 713, 689, 1535, 317, 1321, 267, 13718, 3383, 649, 991, 547, 1265, 11664, 540, 1535, 317, 275, 1934, 692, 7712, 713, 3126, 568, 814, 1256, 2338, 2073, 527, 5693, 3081, 621, 814, 1535, 540, 519, 1106, 1535, 317, 273, 337, 269, 476, 1109, 267, 4517, 649, 616, 4466, 1535, 317, 275, 543, 3976, 678, 284, 273, 692, 2080, 562, 284, 476, 275, 267, 337, 284, 273, 8754, 2073, 263, 275, 266, 273, 268, 272, 267, 273, 6661, 1015, 692, 272, 8917, 692, 2690, 1346, 945, 723, 1019, 330, 330, 520, 538, 10451, 1599, 666, 1294, 621, 1934, 1109, 630, 323, 5877, 3239, 543, 543, 1287, 1689, 922, 2990, 3738, 1930, 621, 538, 5862, 585, 2312, 2070, 692, 539, 1243, 454, 272, 692, 1012, 13565, 2055, 692, 272, 8917, 454, 272, 454, 29340, 5784, 454, 16248, 9838, 29504, 12992, 941, 8118, 693, 476, 277, 281, 876, 7537, 547, 6445, 909, 606, 8900, 8708, 269, 2311, 476, 279, 281, 1789, 7537, 267, 476, 273, 9838, 12992, 630, 327, 3058, 1114, 2557, 689, 4540, 10612, 781, 2557, 264, 616, 849, 8118, 269, 2311, 476, 280, 281, 1789, 7537, 267, 621, 1869, 2838, 476, 272, 811, 5662, 585, 782, 891, 12992, 547, 6445, 909, 3267, 799, 941, 3773, 693, 476, 279, 281, 1789, 7537, 666, 14350, 6445, 909, 519, 8900, 8708, 538, 476, 2412, 3108, 267, 1287, 519, 4390, 540, 519, 8708, 568, 13322, 1693, 544, 274, 563, 31590, 9201, 13235, 543, 7131, 292, 723, 513, 1455, 14584, 595, 609, 519, 2427, 9474, 540, 6906, 13235, 1373, 6252, 547, 2427, 16692, 540, 6906, 7131, 292, 269, 1403, 519, 3259, 540, 2427, 9474, 284, 275, 4699, 543, 3259, 540, 2427, 16692, 284, 1015, 4699, 543, 13902, 3845, 1063, 5011, 9474, 543, 16692, 568, 476, 280, 269, 279, 4699, 267, 1287, 519, 2040, 540, 2127, 540, 3267, 7131, 292, 568, 13322, 1269, 9492, 317, 273, 259, 1547, 3767, 1934, 594, 1810, 1405, 1174, 1946, 789, 723, 3144, 645, 7374, 543, 31984, 593, 519, 1482, 1899, 256, 27355, 1405, 713, 2009, 888, 763, 1871, 540, 519, 4082, 1269, 1724, 3867, 6434, 348, 1422, 3667, 18950, 7116, 476, 866, 264, 9574, 259, 538, 519, 2039, 1269, 271, 259, 547, 1269, 1240, 267, 259, 568, 13322, 269, 0, 1692, 3509, 595, 5725, 1772, 476, 1789, 717, 2449, 2496, 12041, 717, 1068, 337, 8775, 645, 5766, 328, 692, 16829, 2904, 476, 2190, 267, 476, 1708, 273, 692, 2467, 616, 1082, 4632, 547, 2015, 950, 3843, 547, 2626, 519, 2243, 540, 968, 1692, 1082, 11680, 568, 476, 1789, 10101, 9495, 1280, 1383, 267, 519, 10101, 1223, 581, 13288, 547, 1022, 1826, 540, 7484, 12544, 3752, 334, 7484, 267, 513, 7484, 1031, 585, 7893, 5820, 267, 513, 25551, 6995, 7484, 267, 3092, 269, 769, 1840, 267, 519, 10101, 1223, 581, 13288, 547, 519, 2597, 610, 4320, 540, 519, 7484, 269, 1656, 6368, 267, 519, 2450, 540, 519, 7484, 3294, 1223, 4268, 7494, 269, 2353, 540, 891, 2188, 1131, 991, 547, 581, 2808, 538, 1931, 547, 8308, 2626, 519, 2243, 780, 10112, 11167, 602, 519, 476, 1789, 10101, 568, 13288, 547, 519, 2597, 540, 519, 7484, 267, 1287, 513, 3752, 334, 7484, 1131, 581, 14191, 538, 2597, 269, 589, 3752, 334, 7484, 22179, 827, 476, 1789, 10101, 269, 1717, 267, 513, 7484, 1031, 585, 7893, 5820, 1131, 581, 513, 3787, 14402, 267, 607, 621, 568, 3335, 1500, 540, 5068, 269, 1656, 513, 25551, 6995, 7484, 1131, 581, 1256, 14402, 982, 602, 267, 607, 621, 568, 1500, 540, 1957, 780, 10112, 11167, 602, 519, 476, 1789, 10101, 568, 13288, 547, 519, 4320, 540, 519, 7484, 267, 1287, 513, 7893, 7484, 1131, 581, 14191, 538, 4320, 269, 589, 7893, 7484, 3335, 6585, 476, 279, 13728, 267, 610, 827, 476, 26951, 1984, 4106, 619, 269, 901, 1131, 581, 5594, 811, 982, 476, 1789, 10101, 267, 855, 711, 676, 1454, 269, 589, 3752, 334, 7484, 267, 593, 519, 824, 1688, 267, 3335, 6585, 476, 1321, 13728, 267, 610, 827, 28307, 1984, 4106, 619, 269, 901, 1797, 602, 513, 3752, 334, 7484, 814, 513, 4320, 602, 568, 3592, 476, 2004, 260, 3152, 982, 513, 7893, 7484, 780, 4517, 6368, 267, 952, 519, 476, 1789, 10101, 568, 13288, 547, 519, 2450, 540, 519, 7484, 267, 1287, 621, 568, 2693, 602, 513, 4130, 7484, 568, 5497, 269, 1280, 1383, 267, 513, 2302, 1575, 610, 513, 8929, 4837, 1131, 3180, 827, 476, 1789, 10101, 269, 1809, 513, 544, 1872, 610, 513, 533, 842, 4837, 1131, 3180, 3648, 811, 982, 476, 1789, 10101, 780, 1103, 3932, 267, 519, 2626, 547, 519, 2243, 968, 1692, 1082, 11680, 568, 476, 1789, 10101, 9495, 5673, 593, 513, 1297, 540, 2188, 269, 1452, 2188, 1331, 519, 1826, 540, 7484, 267, 519, 2597, 610, 4320, 540, 519, 7484, 267, 543, 519, 2450, 540, 519, 7484, 780, 1692, 1082, 18324, 9398, 568, 476, 1789, 10101, 2496, 1103, 519, 11973, 1062, 267, 835, 6121, 568, 3160, 547, 835, 8536, 628, 540, 513, 11304, 269, 589, 23188, 568, 513, 1770, 540, 2268, 602, 568, 3335, 1031, 547, 2268, 4130, 5666, 540, 5277, 982, 513, 29537, 269, 769, 519, 2136, 2276, 267, 835, 23188, 568, 3160, 547, 476, 272, 270, 277, 540, 513, 5714, 26412, 267, 610, 5111, 476, 275, 269, 11152, 1984, 4106, 619, 269, 4475, 267, 952, 596, 723, 476, 1789, 10101, 540, 5277, 267, 602, 1131, 581, 519, 6697, 540, 5111, 476, 277, 18324, 9398, 780, 1692, 1082, 1984, 4106, 619, 568, 476, 1789, 10101, 2496, 1789, 10101, 568, 5111, 3160, 547, 476, 1789, 1984, 4106, 619, 269, 901, 568, 1317, 476, 272, 6121, 568, 3160, 547, 476, 272, 1984, 559, 3438, 269, 1717, 267, 621, 568, 1271, 547, 4063, 602, 519, 3169, 7503, 2557, 1063, 10101, 543, 1984, 4106, 619, 786, 4268, 4470, 593, 519, 6219, 269, 1280, 1383, 267, 476, 272, 6121, 540, 1216, 568, 3160, 547, 476, 272, 1984, 559, 3438, 267, 855, 476, 272, 6121, 540, 5144, 568, 1152, 3160, 547, 476, 271, 269, 4200, 1984, 4106, 619, 269, 4475, 267, 621, 568, 1655, 547, 1413, 909, 519, 1808, 7503, 2557, 585, 519, 6219, 596, 616, 7893, 780, 1692, 1082, 13728, 568, 476, 1789, 10101, 2496, 1103, 1931, 547, 2626, 519, 2243, 540, 875, 1082, 13728, 616, 538, 476, 1789, 10101, 267, 621, 568, 1101, 2556, 547, 1174, 519, 3017, 1063, 606, 26412, 543, 513, 6121, 269, 589, 6121, 568, 513, 1770, 540, 2597, 538, 519, 11973, 1062, 267, 1247, 606, 26412, 568, 513, 1770, 540, 2597, 538, 519, 2296, 1062, 269, 2290, 6121, 568, 6697, 547, 476, 271, 269, 271, 3374, 28638, 13728, 267, 865, 476, 1789, 10101, 568, 6697, 547, 476, 272, 269, 4962, 279, 273, 13728, 269, 1879, 17031, 547, 519, 14282, 20870, 267, 713, 1297, 3587, 476, 272, 269, 272, 13728, 780, 1692, 1082, 6550, 568, 476, 1789, 10101, 2496, 1789, 10101, 568, 3160, 547, 5111, 476, 271, 269, 271, 5780, 6550, 269, 1677, 6460, 10101, 547, 6550, 267, 7941, 519, 1297, 540, 10101, 676, 476, 28526, 269, 277, 269, 1280, 1383, 267, 476, 1789, 10101, 568, 3160, 547, 476, 1789, 270, 28526, 269, 277, 267, 799, 568, 3160, 547, 5111, 476, 271, 269, 271, 5780, 6550, 780, 1692, 1082, 13532, 568, 476, 1789, 10101, 2496, 3080, 330, 559, 6945, 568, 3160, 547, 476, 272, 267, 1822, 10101, 267, 865, 476, 1789, 10101, 568, 3160, 547, 476, 271, 269, 6734, 330, 559, 9999, 780, 1692, 1082, 31501, 568, 476, 1789, 10101, 2496, 2467, 616, 476, 272, 267, 1822, 31501, 538, 513, 6121, 267, 865, 476, 1789, 10101, 568, 3160, 547, 476, 1789, 267, 1822, 31501, 780, 1692, 1082, 2890, 31810, 568, 476, 1789, 10101, 2496, 2467, 616, 476, 1789, 10101, 538, 513, 2890, 13559, 269, 589, 2890, 13559, 568, 513, 1770, 540, 6482, 602, 568, 3160, 547, 835, 8536, 628, 540, 513, 6121, 269, 901, 1797, 602, 972, 616, 13977, 2890, 31810, 538, 513, 6121, 780, 1692, 1082, 6289, 9999, 568, 476, 1789, 10101, 2496, 288, 6121, 568, 513, 1770, 540, 2527, 538, 519, 11973, 1062, 269, 589, 6289, 6945, 568, 513, 5479, 628, 540, 513, 6121, 269, 1924, 267, 476, 1789, 10101, 568, 3160, 547, 476, 274, 1535, 476, 1015, 317, 1556, 6289, 9999, 780, 1692, 798, 596, 6460, 10101, 883, 11680, 2496, 2414, 6460, 10101, 883, 11680, 267, 7941, 519, 2597, 538 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16500, 2006, 267, 723, 8246, 519, 3665, 4606, 540, 4250, 267, 2648, 267, 13842, 267, 10845, 267, 543, 20947, 547, 9414, 281, 519, 5137, 540, 513, 18604, 5626, 1533, 602, 14906, 619, 519, 6408, 11630, 547, 536, 8083, 540, 32408, 282, 519, 4835, 1436, 540, 15128, 602, 814, 15449, 730, 519, 1480, 20369, 3832, 4611, 538, 519, 669, 11047, 1063, 7787, 543, 19450, 2219, 282, 543, 519, 4539, 540, 519, 2360, 540, 519, 5626, 2566, 540, 5007, 15128, 7152, 998, 519, 3527, 540, 741, 3197, 563, 23921, 5675, 6435, 888, 7476, 5955, 593, 8239, 267, 9355, 267, 6677, 1707, 543, 7954, 14678, 5861, 515, 1188, 707, 1957, 19314, 268, 769, 519, 3355, 957, 519, 15293, 4564, 17283, 282, 17283, 568, 1373, 22841, 676, 1010, 4651, 781, 1121, 27320, 269, 3571, 4651, 568, 8052, 1117, 538, 1560, 24915, 799, 4564, 968, 8705, 892, 543, 6370, 269, 634, 26415, 568, 606, 4998, 2679, 3625, 547, 6542, 519, 6249, 540, 17283, 799, 568, 968, 9199, 3022, 344, 6100, 634, 26415, 28279, 17283, 602, 19863, 3780, 630, 763, 1133, 2193, 540, 17283, 264, 23689, 6196, 17283, 630, 295, 600, 7410, 12429, 264, 799, 568, 519, 26415, 646, 781, 18995, 269, 17283, 781, 4651, 779, 15293, 267, 2182, 1790, 5962, 1864, 547, 23362, 3068, 1010, 3885, 3765, 325, 28232, 543, 1285, 3188, 519, 2669, 540, 1010, 11537, 4651, 2807, 1496, 15912, 281, 17283, 267, 16992, 538, 17283, 267, 3751, 17283, 267, 26415, 2639, 9032, 277, 1913, 630, 273, 269, 279, 3817, 994, 268, 17283, 781, 8496, 1145, 3509, 13915, 4749, 15539, 519, 32408, 540, 17283, 269, 898, 568, 1360, 2352, 547, 6003, 17283, 607, 2901, 521, 2033, 610, 1202, 2033, 1317, 540, 1010, 3948, 547, 9710, 26559, 17548, 602, 646, 786, 957, 14834, 269, 4634, 1498, 646, 2995, 9710, 26559, 602, 646, 568, 9117, 14834, 267, 972, 616, 1082, 4128, 602, 666, 1291, 1864, 547, 15508, 15059, 269, 834, 295, 600, 2280, 729, 513, 19036, 267, 676, 4332, 513, 19036, 282, 543, 646, 24714, 547, 12081, 1152, 602, 1434, 2367, 1522, 581, 1434, 1510, 25518, 630, 310, 6504, 32184, 476, 2420, 1040, 257, 634, 13862, 729, 711, 22420, 267, 855, 952, 1010, 4651, 1185, 18423, 3476, 267, 621, 1131, 723, 17956, 8621, 7410, 13922, 540, 19588, 2807, 1496, 15912, 281, 3594, 4574, 2639, 278, 1428, 1913, 630, 273, 3817, 994, 268, 769, 9956, 779, 1404, 267, 17283, 267, 1202, 534, 640, 568, 3989, 607, 606, 4576, 610, 2068, 602, 15920, 519, 2247, 883, 22406, 32408, 269, 901, 968, 323, 1047, 848, 892, 14145, 1161, 519, 2247, 540, 2601, 543, 4656, 267, 2870, 513, 1480, 1373, 540, 2347, 4524, 269, 968, 288, 1455, 10206, 540, 1202, 534, 640, 568, 602, 1346, 2978, 1681, 896, 621, 616, 1360, 10795, 610, 1360, 29047, 610, 6158, 20060, 1619, 892, 630, 298, 749, 17344, 1040, 918, 749, 17344, 2829, 519, 3527, 540, 1346, 4299, 676, 1202, 534, 640, 282, 646, 2488, 2312, 1702, 540, 2623, 2404, 609, 606, 1367, 602, 814, 1044, 5189, 547, 32408, 2807, 1496, 15912, 281, 9956, 267, 17283, 267, 1202, 534, 640, 2639, 9083, 274, 1913, 630, 273, 269, 280, 3817, 994, 268, 6182, 785, 560, 3530, 476, 272, 3400, 903, 517, 681, 269, 6182, 785, 560, 3530, 11427, 269, 13690, 20717, 1676, 12968, 832, 2296, 10001, 476, 5881, 5412, 476, 1001, 276, 634, 18712, 540, 17283, 779, 6184, 534, 640, 634, 15784, 540, 2436, 610, 711, 519, 1915, 17283, 267, 538, 519, 1404, 968, 295, 600, 2280, 676, 5261, 9956, 267, 568, 5963, 1202, 2033, 610, 535, 1136, 568, 606, 5571, 1888, 602, 814, 1044, 5941, 936, 1082, 1296, 269, 4014, 17283, 1281, 1397, 930, 2963, 540, 2618, 5328, 1143, 2429, 519, 3209, 646, 849, 2982, 1454, 2963, 540, 1373, 513, 5100, 543, 521, 2033, 18560, 269, 17283, 568, 711, 1102, 716, 21173, 282, 646, 568, 1175, 3257, 1018, 519, 519, 15293, 540, 1010, 4651, 6645, 1864, 547, 798, 2807, 1496, 15912, 281, 17283, 267, 16992, 538, 17283, 267, 717, 1068, 337, 8775, 2639, 14695, 271, 1913, 630, 274, 269, 277, 3817, 994, 268, 17283, 281, 645, 3757, 27895, 781, 14956, 3559, 807, 543, 8058, 531, 614, 781, 11724, 532, 14956, 3559, 807, 14956, 3559, 807, 8813, 547, 519, 6989, 267, 1200, 3458, 4461, 17804, 552, 518, 1176, 609, 519, 5152, 4773, 1352, 3096, 607, 1200, 4633, 269, 769, 606, 8216, 1352, 568, 21389, 603, 532, 543, 19876, 532, 1200, 10652, 6665, 538, 971, 513, 14407, 4638, 6073, 602, 621, 3587, 2312, 602, 267, 538, 1010, 4670, 7664, 540, 5261, 9956, 781, 17283, 267, 26366, 996, 645, 3757, 27895, 6499, 547, 17538, 513, 2178, 2078, 1063, 4775, 1202, 534, 640, 543, 4775, 14920, 269, 6270, 513, 2078, 568, 4010, 1018, 4432, 12578, 8058, 531, 614, 11828, 538, 1200, 1557, 4534, 834, 11847, 6974, 532, 14956, 3559, 807, 281, 6468, 267, 8496, 1145, 267, 543, 519, 13786, 4850, 540, 12339, 21442, 29576, 257, 4534, 834, 296, 786, 581, 6029, 1101, 540, 782, 519, 2099, 1049, 7554, 1063, 4775, 1202, 8643, 1862, 1496, 15912, 281, 28414, 17912, 2639, 1960, 278, 1913, 630, 276, 269, 278, 3817, 994, 268, 17283, 568, 513, 1404, 602, 3762, 596, 609, 707, 5023, 7934, 532, 1930, 607, 596, 2307, 3054, 267, 968, 6343, 1175, 5949, 286, 6100, 1703, 616, 865, 1082, 1930, 8694, 2055, 602, 786, 2760, 581, 13166, 12943, 267, 6028, 3988, 547, 4612, 519, 1404, 593, 741, 1378, 269, 12984, 17283, 5963, 538, 2648, 609, 14956, 3559, 807, 269, 9894, 717, 1068, 337, 8775, 917, 19863, 3780, 779, 5728, 519, 2898, 942, 269, 5808, 568, 10783, 514, 30944, 269, 1452, 616, 519, 4555, 602, 1118, 596, 2243, 1169, 4062, 540, 519, 1404, 282, 891, 1930, 8694, 2055, 616, 1018, 2306, 5261, 9956, 513, 15851, 21184, 269, 4658, 782, 936, 519, 1158, 7521, 891, 4555, 1869, 2221, 267, 2185, 5553, 2663, 2807, 1496, 15912, 281, 16992, 538, 17283, 267, 17283, 267, 717, 1068, 337, 8775, 267, 23539, 2639, 4200, 276, 1913, 630, 273, 269, 279, 3817, 994, 268, 17283, 543, 6184, 534, 640, 5261, 9956, 779, 18678, 13249, 12416, 17283, 1281, 711, 2626, 4628, 585, 1082, 538, 519, 5304, 519, 11358, 2243, 7282, 519, 7254, 640, 540, 17283, 1107, 2436, 621, 568, 11207, 905, 11220, 610, 711, 269, 2913, 721, 1521, 713, 1888, 538, 1469, 267, 2059, 609, 2565, 6085, 269, 6723, 10370, 2006, 918, 8636, 1042, 613, 538, 519, 4985, 547, 634, 3004, 3022, 344, 540, 17283, 267, 13584, 540, 16862, 267, 6941, 519, 19036, 779, 24117, 3297, 519, 7357, 5910, 2105, 1202, 534, 640, 281, 769, 9956, 779, 12416, 267, 2705, 267, 17283, 779, 30254, 585, 9117, 519, 14834, 2006, 568, 6654, 2807, 1496, 15912, 281, 10749, 593, 9956, 17283, 2639, 5002, 273, 1913, 630, 276, 269, 275, 3817, 994, 268, 6184, 534, 640, 1369, 17283, 2913, 721, 2263, 538, 713, 1557, 519, 1483, 610, 905, 11220, 32408, 540, 519, 5869, 538, 5261, 9956, 779, 10565, 13357, 17283, 269, 11879, 6644, 568, 5258, 593, 713, 2243, 269, 589, 5861, 269, 17659, 2917, 538, 9956, 534, 3004, 3022, 344, 25411, 4875, 569, 740, 12742, 547, 519, 3661, 602, 17283, 1131, 24044, 547, 581, 513, 13249, 1915, 952, 646, 941, 2731, 14834, 693, 1022, 942, 538, 519, 1404, 630, 1789, 1040, 2201, 519, 824, 1688, 267, 654, 269, 7338, 5839, 290, 776, 538, 17283, 281, 589, 6651, 547, 519, 7591, 15387, 602, 519, 19036, 711, 1152, 905, 793, 338, 1202, 534, 640, 855, 849, 2982, 4191, 540, 3020, 1202, 534, 640, 281, 17283, 905, 793, 338, 32408, 855, 849, 2982, 4191, 540, 3020, 32408, 264, 1310, 1010, 4651, 779, 2669, 543, 1010, 3993, 779, 936, 327, 7360, 1121, 541, 5846, 282, 14956, 3559, 807, 2965, 1281, 979, 14834, 1310, 646, 1862, 1496, 15912, 281, 10749, 593, 9956, 17283, 2639, 6245, 275, 1913, 630, 276, 269, 275, 3817, 994, 268, 6184, 534, 640, 538, 17283, 589, 7156, 540, 519, 32408, 540, 519, 5869, 17283, 1369, 519, 9956, 534, 12416, 540, 519, 1482, 2012, 267, 2982, 602, 1010, 905, 11220, 32408, 3006, 10665, 593, 1483, 32408, 267, 855, 4440, 1152, 14626, 1211, 958, 269, 17283, 779, 6643, 609, 19863, 3780, 568, 1202, 2033, 547, 519, 8545, 269, 18039, 667, 753, 517, 538, 968, 307, 4048, 545, 22843, 892, 6257, 875, 17283, 779, 946, 540, 519, 11382, 690, 1143, 568, 6986, 32408, 547, 519, 4622, 281, 1548, 17283, 2982, 676, 1010, 946, 540, 519, 11382, 690, 1143, 568, 602, 4986, 5150, 666, 1964, 593, 519, 7301, 3125, 602, 11792, 20960, 3547, 607, 519, 10424, 1931, 540, 16862, 2807, 1496, 15912, 281, 10749, 593, 9956, 17283, 2639, 10082, 275, 1913, 630, 276, 269, 272, 3817, 994, 268, 17283, 910, 589, 7726, 540, 8496, 1145, 17283, 781, 1857, 1268, 320, 568, 513, 1795, 1228, 646, 814, 2813, 547, 4163, 856, 1010, 12804, 10262, 24500, 269, 634, 3544, 1158, 781, 8226, 540, 1864, 607, 1373, 14834, 568, 540, 1010, 1378, 1374, 269, 17283, 568, 14045, 1018, 646, 6499, 1866, 547, 1589, 827, 1864, 269, 2717, 517, 3780, 267, 513, 2673, 1476, 573, 656, 540, 519, 3751, 267, 568, 519, 3056, 1268, 3743, 585, 519, 1857, 781, 1702, 540, 17283, 781, 32408, 269, 634, 2856, 602, 17283, 568, 14834, 7740, 1472, 519, 1249, 602, 646, 12909, 547, 519, 15293, 540, 1010, 4666, 4651, 269, 1261, 31825, 609, 1010, 4666, 4651, 781, 15293, 7466, 267, 538, 519, 4527, 540, 1010, 2828, 543, 1586, 538, 519, 4527, 540, 1010, 3993, 2807, 1496, 15912, 281, 10749, 593, 9956, 17283, 2639, 280, 8287, 1913, 630, 273, 269, 279, 3817, 264, 0, 15430, 757, 476, 1321, 540, 519, 1034, 12473, 5836, 9035, 1472, 519, 8608, 269, 22419, 786, 1491, 606, 6186, 24316, 4663, 540, 634, 4279, 4446, 8175, 24035, 267, 12213, 7256, 966, 757, 267, 606, 7201, 4248, 4826, 6420, 267, 543, 269, 811, 563, 295, 4007, 16385, 256, 6258, 827, 1141, 16385, 2661, 267, 543, 875, 789, 2170, 609, 1142, 824, 269, 5192, 4712, 547, 1451, 1946, 16385, 9514, 18616, 693, 1142, 824, 267, 610, 1018, 621, 1797, 950, 789, 530, 24513, 548, 741, 1166, 26802, 269, 1772, 513, 17962, 16356, 1256, 513, 17962, 267, 610, 1175, 606, 791, 8803, 286, 12267, 676, 13690, 4406, 823, 267, 8349, 2106, 10374, 267, 27692, 9466, 18722, 267, 543, 1261, 21355, 7313, 601, 2006, 563, 29222, 693, 519, 11824, 256, 5981, 24502, 9162, 585, 513, 11824, 7552, 269, 667, 3089, 543, 3619, 846, 723, 2119, 513, 1007, 7328, 693, 519, 10720, 269, 21877, 30877, 602, 519, 3552, 2831, 1058, 581, 1863, 267, 1100, 2339, 875, 1507, 269, 6258, 513, 2922, 543, 2653, 8945, 585, 6313, 4262, 7068, 909, 2673, 269, 12267, 676, 32632, 667, 2033, 645, 3234, 1676, 267, 667, 698, 3405, 918, 739, 267, 631, 4115, 928, 27508, 267, 543, 15776, 661, 30591, 563, 10908, 4575, 23900, 2059, 519, 8492, 540, 513, 5757, 267, 25438, 3796, 616, 23773, 2818, 540, 519, 3662, 10806, 945, 1810, 1405, 2285, 741, 10352, 1454, 9963, 269, 8479, 3988, 1205, 513, 19214, 693, 1585, 25438, 850, 2249, 543, 9249, 543, 1451, 827, 519, 10122, 1983, 602, 1118, 891, 7068, 4583, 269, 22252, 894, 1257, 543, 3078, 5961, 6338, 3214, 547, 519, 6909, 20641, 602, 723, 21786, 1194, 938, 4541, 585, 6634, 540, 1296, 563, 1103, 4856, 531, 24035, 5253, 932, 1622, 267, 2038, 31402, 3988, 2263, 519, 14147, 11818, 27354, 543, 519, 1426, 11800, 621, 7028, 269, 966, 2320, 656, 267, 2407, 12258, 528, 6337, 543, 5402, 1377, 539, 1257, 4497, 1762, 3988, 607, 789, 2263, 875, 1648, 8928, 998, 2371, 543, 2831, 593, 513, 14147, 11818, 269, 589, 4786, 2337, 3988, 2697, 2101, 18625, 538, 519, 1158, 781, 12084, 267, 543, 606, 2534, 3091, 3214, 606, 4316, 547, 8831, 6602, 269, 5753, 666, 1451, 811, 827, 14147, 11818, 1426, 11800, 1210, 938, 2922, 3406, 2599, 602, 2488, 4143, 267, 2085, 29003, 7270, 269, 4856, 531, 24035, 5253, 932, 1622, 849, 2934, 2542, 4388, 585, 3610, 543, 3237, 267, 513, 3349, 540, 9115, 267, 513, 29395, 267, 543, 606, 4994, 563, 1103, 18610, 4248, 5253, 932, 1622, 267, 2038, 31402, 3988, 2263, 519, 15195, 27354, 543, 519, 1426, 11800, 621, 7028, 269, 966, 2320, 656, 267, 2407, 12258, 528, 6337, 543, 5402, 1377, 539, 1257, 4497, 1762, 3988, 607, 789, 2263, 875, 1648, 8928, 998, 2371, 543, 2831, 538, 15195, 8933, 543, 12647, 269, 589, 4786, 2337, 3988, 2697, 2101, 8933, 543, 12647, 540, 519, 1158, 267, 543, 606, 2534, 3091, 3214, 606, 4316, 547, 8831, 6602 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1103, 519, 5354, 540, 10409, 14046, 4574, 267, 1079, 4485, 547, 1558, 7716, 344, 20441, 269, 1358, 2666, 538, 513, 1279, 10409, 543, 13148, 849, 538, 513, 1279, 10952, 2245, 269, 4475, 267, 649, 949, 2161, 602, 891, 1079, 8106, 4485, 616, 513, 851, 540, 519, 1455, 10409, 1702, 269, 769, 519, 1101, 835, 267, 519, 8106, 14428, 559, 1670, 1935, 267, 1558, 7716, 344, 568, 513, 1641, 547, 2757, 10409, 8371, 899, 18935, 2524, 267, 682, 13877, 1108, 267, 543, 5033, 24939, 269, 901, 1935, 568, 13883, 593, 30827, 1673, 523, 582, 894, 1377, 543, 568, 6045, 607, 4483, 540, 1713, 269, 1677, 713, 4587, 1935, 267, 1558, 7716, 344, 568, 607, 12497, 1558, 7716, 344, 543, 1558, 7716, 673, 12497, 1436, 1369, 519, 5943, 540, 5042, 23316, 538, 11685, 269, 634, 5042, 10409, 1935, 814, 1044, 4922, 3262, 2094, 519, 476, 2735, 271, 625, 3768, 859, 12097, 7096, 5717, 267, 538, 799, 1558, 7716, 344, 568, 6956, 607, 513, 10409, 543, 5042, 635, 268, 4620, 775, 587, 499, 5793, 2181, 1540, 607, 513, 1797, 540, 11601, 267, 4393, 543, 6165, 540, 1702, 630, 14048, 267, 9637, 267, 1702, 4483, 1070, 607, 11329, 856, 538, 3220, 7238, 29967, 9528, 476, 1547, 9122, 593, 713, 5042, 10409, 1935, 267, 930, 811, 2127, 540, 3498, 543, 7778, 267, 7654, 711, 1152, 538, 23316, 267, 616, 10703, 22133, 563, 273, 269, 5450, 7716, 344, 607, 513, 11660, 543, 9210, 626, 655, 1670, 10417, 454, 6097, 547, 713, 1935, 267, 621, 568, 2009, 547, 1533, 602, 1152, 538, 8744, 1896, 8847, 543, 11673, 540, 3621, 2474, 1927, 519, 6240, 540, 12497, 1558, 7716, 344, 585, 3621, 960, 1522, 581, 7691, 269, 589, 26608, 1288, 547, 713, 568, 602, 8847, 543, 11673, 540, 3621, 2474, 1058, 711, 581, 2938, 607, 12721, 3334, 855, 607, 14911, 3283, 1369, 513, 2230, 540, 733, 580, 8462, 7282, 6436, 269, 901, 568, 1317, 540, 519, 13429, 602, 14911, 3334, 540, 602, 2230, 540, 733, 580, 8462, 2099, 8847, 543, 11673, 540, 3621, 2474, 689, 10646, 762, 5380, 269, 634, 1198, 540, 713, 13429, 1131, 581, 711, 1152, 513, 811, 2347, 4605, 875, 547, 1174, 3621, 2474, 267, 855, 849, 513, 2362, 28706, 3196, 585, 7811, 1523, 687, 563, 22492, 1242, 3332, 538, 6037, 26331, 4927, 581, 1031, 547, 9414, 519, 28706, 3196, 540, 12497, 1558, 7716, 344, 267, 30833, 676, 835, 540, 519, 2596, 3584, 538, 6037, 26331, 267, 519, 2081, 543, 3029, 540, 968, 1782, 340, 2065, 13341, 540, 4529, 6100, 634, 11673, 610, 18765, 540, 891, 13341, 616, 711, 1152, 5249, 856, 538, 1896, 8846, 543, 3506, 540, 6037, 26331, 267, 855, 789, 849, 946, 1114, 10409, 7215, 547, 11168, 1978, 32705, 543, 5042, 3344, 540, 891, 968, 1782, 340, 2065, 13341, 540, 4529, 6100, 1677, 1118, 621, 2312, 267, 621, 568, 711, 1250, 9837, 547, 16789, 569, 19467, 610, 3575, 1585, 7811, 7158, 269, 3733, 1448, 568, 547, 1397, 875, 519, 1184, 540, 968, 1782, 340, 2065, 13341, 540, 4529, 892, 1522, 581, 2938, 543, 10146, 539, 865, 8335, 269, 594, 1289, 713, 32705, 543, 5042, 4763, 540, 519, 968, 1782, 340, 2065, 13341, 540, 4529, 892, 519, 570, 10611, 6993, 8160, 15660, 2529, 269, 7613, 269, 769, 519, 1739, 9433, 267, 519, 7222, 7215, 547, 602, 7613, 616, 12006, 538, 12050, 5022, 267, 1519, 849, 519, 10530, 912, 2108, 307, 892, 6763, 585, 8144, 630, 514, 519, 1360, 1134, 1634, 2631, 1070, 855, 849, 585, 968, 10520, 8690, 566, 6100, 15011, 656, 344, 14753, 540, 24328, 540, 602, 1018, 12851, 547, 513, 2528, 883, 1776, 2528, 281, 968, 296, 7118, 652, 569, 3494, 602, 971, 513, 24328, 568, 2009, 3177, 602, 519, 6037, 1807, 13000, 8144, 711, 607, 606, 3635, 855, 607, 513, 25019, 538, 799, 711, 1152, 1079, 4654, 855, 849, 1079, 4529, 1489, 1142, 824, 1848, 476, 722, 499, 2108, 307, 892, 6763, 849, 585, 968, 10520, 2821, 892, 607, 621, 729, 1031, 676, 15550, 599, 22230, 541, 10964, 6339, 476, 4586, 2108, 305, 892, 568, 1031, 676, 667, 685, 327, 592, 560, 543, 6763, 585, 968, 19810, 532, 2686, 3688, 892, 476, 1547, 2334, 6165, 540, 519, 2165, 17021, 4667, 547, 581, 606, 4244, 585, 8144, 267, 2943, 267, 538, 602, 2027, 2013, 267, 667, 685, 327, 592, 560, 1281, 711, 1445, 593, 30424, 1063, 13798, 1881, 30827, 3688, 540, 1079, 610, 811, 4654, 855, 593, 513, 1259, 547, 2769, 519, 3312, 2495, 676, 1022, 3617, 10409, 4559, 540, 513, 3077, 1893, 563, 28317, 892, 4016, 547, 519, 1034, 4749, 9648, 3344, 267, 799, 849, 1459, 519, 4102, 3099, 540, 602, 968, 1782, 340, 2065, 13341, 540, 4529, 6100, 1703, 568, 519, 968, 817, 574, 7976, 892, 538, 717, 4592, 2006, 281, 968, 1103, 922, 2596, 267, 3355, 3942, 267, 3444, 14426, 21939, 568, 855, 513, 1106, 540, 519, 8912, 5467, 21939, 540, 519, 1257, 267, 4611, 689, 606, 4674, 547, 1118, 2631, 267, 547, 3196, 519, 1257, 883, 3398, 1464, 892, 476, 1547, 901, 21939, 5012, 607, 717, 4592, 2006, 12662, 621, 3592, 8850, 547, 968, 23100, 1464, 5608, 952, 711, 1256, 547, 968, 23100, 766, 892, 540, 513, 4914, 2528, 269, 587, 499, 301, 867, 4408, 621, 630, 3697, 1082, 1866, 264, 968, 3385, 1632, 5608, 3976, 267, 968, 1862, 3082, 687, 1419, 616, 519, 1152, 1259, 547, 2327, 602, 513, 8144, 2048, 4103, 685, 538, 519, 3077, 2275, 11857, 3510, 621, 568, 3812, 585, 892, 476, 4586, 2108, 300, 892, 729, 2907, 5018, 538, 519, 10839, 1657, 689, 15011, 656, 344, 476, 945, 1031, 621, 585, 968, 9712, 566, 6100, 667, 685, 327, 592, 560, 3217, 968, 9712, 566, 892, 538, 1776, 2631, 267, 799, 568, 7429, 15011, 656, 344, 779, 2990, 711, 865, 1455, 1317, 646, 12662, 968, 322, 8590, 8144, 892, 607, 968, 9712, 566, 1063, 1114, 2686, 2853, 892, 476, 1547, 5015, 267, 968, 300, 892, 568, 1031, 585, 968, 18029, 2928, 5608, 17929, 519, 968, 1782, 340, 2065, 13341, 540, 4529, 892, 4991, 513, 1007, 8561, 269, 901, 568, 1317, 15550, 599, 1299, 11023, 10964, 6339, 2161, 3168, 693, 1152, 835, 1893, 543, 2528, 2146, 602, 968, 331, 16722, 11604, 2528, 892, 476, 1547, 25392, 713, 267, 649, 949, 15475, 602, 835, 1893, 568, 2111, 547, 968, 18029, 2928, 892, 811, 4529, 982, 519, 1378, 563, 14881, 892, 568, 1031, 676, 12875, 344, 543, 6763, 585, 968, 842, 18166, 6100, 1261, 3081, 827, 8144, 602, 968, 1862, 8144, 568, 10416, 2966, 547, 11886, 3267, 519, 2115, 540, 519, 2528, 799, 1131, 5555, 3984, 621, 269, 898, 1281, 865, 676, 10962, 883, 602, 2528, 513, 4528, 540, 1945, 799, 814, 2907, 1044, 538, 6228, 538, 1776, 2528, 267, 1818, 946, 540, 513, 1114, 1893, 267, 799, 587, 499, 1721, 835, 2601, 610, 1776, 587, 499, 529, 16363, 17709, 540, 4367, 883, 621, 892, 476, 1547, 5047, 267, 12875, 344, 3096, 968, 296, 849, 585, 968, 4532, 2734, 622, 27535, 968, 763, 5189, 11769, 3294, 267, 519, 1259, 621, 568, 11368, 883, 519, 18579, 2528, 267, 568, 2760, 4625, 1007, 267, 2760, 9813, 547, 602, 2528, 593, 782, 2009, 934, 3581, 892, 476, 1547, 769, 713, 10839, 267, 646, 1281, 711, 2047, 2012, 519, 862, 976, 1063, 4529, 267, 855, 1010, 14592, 1223, 581, 14648, 538, 971, 513, 1259, 269, 898, 568, 827, 513, 2596, 3948, 602, 621, 568, 1360, 2556, 547, 11168, 1018, 4529, 723, 538, 1455, 3079, 540, 2519, 593, 602, 1018, 17337, 873, 563, 4517, 6368, 968, 306, 5608, 1317, 15011, 656, 344, 11339, 602, 968, 1862, 998, 1010, 957, 540, 8144, 267, 519, 6037, 1807, 12958, 513, 1623, 6798, 2670, 1063, 519, 2707, 543, 519, 3077, 2528, 892, 476, 1547, 1809, 15011, 656, 344, 3096, 968, 306, 892, 849, 585, 968, 1862, 513, 25019, 538, 799, 711, 1152, 1079, 4654, 855, 849, 1079, 4529, 1489, 1142, 824, 892, 476, 4586, 1607, 5348, 18462, 6799, 1114, 2798, 540, 2070, 1519, 741, 1114, 4052, 543, 1505, 673, 4539, 827, 602, 2436, 543, 875, 519, 7237, 540, 1079, 1893, 543, 2528, 2950, 949, 4755, 269, 634, 8552, 540, 8369, 9832, 689, 513, 1623, 6798, 2670, 540, 1079, 4529, 607, 538, 15011, 656, 344, 476, 547, 519, 18349, 540, 519, 4914, 607, 538, 12875, 344, 476, 1547, 1677, 2057, 1022, 21390, 267, 621, 568, 2556, 547, 2161, 602, 12875, 344, 12034, 5128, 711, 607, 513, 11347, 610, 1246, 518, 540, 971, 513, 9097, 2990, 540, 7947, 532, 519, 4914, 269, 1261, 5941, 513, 4990, 540, 18440, 281, 968, 305, 1430, 267, 519, 3209, 1399, 540, 606, 11769, 24283, 689, 519, 3077, 2528, 3294, 267, 543, 12211, 547, 1018, 602, 2528, 568, 8348, 630, 528, 4847, 264, 547, 3398, 5288, 269, 1018, 621, 7959, 8078, 539, 547, 10505, 547, 14842, 267, 610, 1256, 11207, 7947, 892, 476, 4586, 21953, 267, 519, 5354, 540, 11673, 2440, 515, 2738, 519, 968, 1782, 340, 2065, 13341, 540, 4529, 892, 811, 610, 1447, 607, 25019, 547, 11886, 610, 14183, 519, 2115, 540, 513, 1978, 2528, 267, 607, 667, 685, 327, 592, 560, 476, 12662, 621, 269, 16410, 28584, 849, 14753, 827, 32705, 2115, 855, 1101, 540, 782, 1369, 519, 1858, 540, 7463, 10409, 2792, 269, 1809, 621, 666, 581, 2938, 3362, 602, 519, 7829, 609, 32705, 2115, 5702, 31426, 609, 519, 5042, 2115, 267, 610, 587, 499, 553, 594, 1289, 621, 587, 499, 320, 1978, 1702, 1058, 581, 543, 814, 547, 581, 1500, 5042, 569, 543, 3868, 8271, 2139, 538, 513, 3077, 1893, 543, 2528, 281, 968, 19853, 1496, 323, 269, 1775, 269, 4966, 27236, 316, 32705, 2115, 1376, 689, 519, 1702, 540, 519, 1523, 543, 689, 519, 991, 547, 5968, 621, 282, 741, 1719, 538, 16166, 6212, 593, 2035, 543, 875, 789, 666, 581, 3957, 5693, 543, 796, 3711, 580, 28204, 892, 476, 4586, 274, 269, 5450, 7716, 344, 607, 513, 25927, 1049, 10417, 454, 1607, 1935, 1522, 581, 4330, 607, 1558, 7716, 673, 5322, 1369, 519, 2790, 2230, 540, 733, 580, 8462, 269, 634, 10409, 4082, 540, 891, 5322, 616, 1031, 547, 11904, 30827, 4559, 883, 513, 3077, 1893, 267, 1317, 891, 10409, 543, 5042, 5322, 1450, 547, 1265, 610, 547, 1711, 1558, 7716, 1227, 22579, 5330, 1878, 267, 799, 616, 8925, 547, 13798, 1881, 5973, 757, 269, 3487, 6053, 267, 891, 5330, 1878, 616, 1256, 811, 22192, 982, 519, 2834, 5973, 757, 610, 3006, 1732, 3514, 547, 519, 12204, 540, 1257, 1141, 789, 1185, 547, 2049, 269, 3733, 2079, 540, 519, 11904, 902, 540, 2528, 27995, 1913, 538, 519, 16627, 540, 519, 29564, 685, 717, 3234, 332, 674, 8543, 2145, 525, 630, 294, 10499, 264, 1397, 602, 1614, 1292, 2010, 540, 1558, 7716, 673, 5322, 1522, 581, 13747, 476, 4586, 20751, 519, 5943, 540, 8144, 2090, 267, 519, 1883, 1448, 585, 1558, 7716, 344, 568, 519, 7811, 17748, 540, 30424, 4171, 10409, 19183, 607, 5973, 757, 593, 30827, 1673, 523, 582, 894, 1377, 616, 540, 1719, 269, 8616, 267, 519, 2165, 968, 3225, 20884, 892, 1058, 581, 1031, 14311, 585, 971, 30827, 4559, 602, 616, 13798, 1881, 267, 2495, 602, 789, 4625, 3617, 835, 547, 1142, 824, 269, 3245, 602, 267, 824, 20825, 723, 547, 581, 13747, 267, 607, 789, 616, 12212, 630, 328, 4318, 269, 711, 13798, 1881, 264, 21235, 1913, 689, 513, 2707, 1893, 267, 799, 4096, 593, 1978, 11407, 2127, 267, 12204, 540, 1257, 267, 10584, 779, 15752, 543, 1257, 2511, 269, 1452, 711, 13798, 1881, 11904, 902, 883, 513, 3077, 1893, 1522, 581, 3144, 607, 24017, 689, 519, 8912, 30827, 1673, 523, 582, 894, 30424, 269, 23008, 12264, 267, 891, 24017, 616, 4646, 676, 1210, 3044, 6863, 855, 538, 513, 1259, 602, 519, 2813, 2262, 585, 519, 2115, 540, 519, 3077, 1893, 568, 711, 606, 6697, 538, 513, 21055, 2631, 269, 1677, 2057, 606, 16789, 2165, 514, 1670, 16471, 267, 891, 4559, 6353, 607, 24017, 689, 519, 13798, 1881, 3044, 594, 786, 1289, 968, 14585, 22046, 1878, 6100, 1306, 513, 2165, 267, 968, 14585, 22046, 775, 892, 6811, 519, 4567, 540, 513, 5409, 7716, 585, 782, 24017, 689, 30827, 1673, 523, 582, 894, 5973, 757, 269, 9603, 547, 519, 1249, 602, 538, 519, 16627, 540, 519, 717, 10499, 711, 2141, 13798, 1881, 5973, 757, 2408, 267, 621, 729, 2009, 547, 960, 856, 1896, 2553, 540, 17021, 540, 2528, 27995, 1913, 269, 634, 5354, 540, 873, 666, 581, 3144, 607, 24017, 538, 519, 1657, 5018, 2631, 267, 855, 789, 782, 616, 7215 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 901, 7317, 1576, 6227, 519, 1883, 2127, 547, 2327, 602, 519, 13539, 10742, 922, 13800, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2534, 538, 8168, 3069, 630, 5408, 552, 3052, 269, 654, 1068, 338, 577, 476, 3192, 280, 320, 1040, 5015, 267, 519, 6422, 2203, 6035, 676, 966, 17789, 1824, 5652, 534, 2618, 565, 3907, 2524, 19329, 519, 17594, 540, 519, 11984, 1063, 7157, 543, 27235, 3812, 3029, 2094, 267, 538, 713, 2203, 267, 782, 3029, 538, 11407, 1590, 581, 9763, 607, 12508, 540, 875, 10529, 9305, 547, 519, 4305, 267, 2864, 982, 607, 12508, 540, 741, 2489, 10409, 16169, 269, 2334, 568, 267, 782, 11913, 3029, 538, 11407, 630, 320, 8997, 12508, 543, 11688, 2787, 9259, 267, 607, 1134, 607, 10409, 2497, 264, 616, 1312, 11240, 2218, 543, 4143, 269, 1635, 519, 1101, 2165, 267, 649, 1611, 602, 782, 3029, 3812, 676, 10529, 616, 22566, 540, 741, 5042, 2829, 538, 519, 4305, 282, 676, 519, 2034, 2165, 267, 649, 1611, 602, 782, 3029, 3812, 676, 10529, 616, 10351, 2033, 547, 741, 8942, 547, 2347, 519, 4305, 607, 4843, 269, 769, 1018, 5205, 267, 649, 1101, 2709, 513, 5618, 7291, 540, 930, 2596, 2035, 540, 966, 17789, 1824, 5652, 534, 2618, 565, 3907, 2524, 543, 1287, 8399, 547, 20272, 2034, 1893, 11407, 538, 1769, 540, 891, 2035, 269, 7053, 267, 649, 6376, 593, 519, 2489, 10626, 540, 8168, 2618, 565, 3907, 2524, 538, 2034, 1893, 1382, 269, 6154, 17507, 267, 667, 269, 630, 2735, 280, 1040, 11819, 2866, 267, 1646, 267, 543, 3375, 1818, 281, 589, 2203, 540, 3450, 543, 1644, 2994, 585, 1893, 4116, 2069, 269, 570, 2464, 5357, 22588, 569, 267, 476, 3953, 267, 476, 2767, 268, 3393, 269, 5678, 4116, 2069, 814, 1831, 27929, 282, 1932, 1419, 267, 922, 3646, 1445, 593, 606, 322, 16736, 2127, 971, 607, 4294, 23316, 267, 12191, 267, 610, 1893, 11601, 1247, 6772, 8504, 519, 4295, 1107, 3450, 3294, 269, 22716, 529, 593, 891, 2127, 267, 4352, 621, 949, 1711, 513, 24099, 5748, 585, 519, 4116, 2987, 1790, 516, 1706, 566, 267, 1236, 16630, 519, 3844, 3390, 540, 1565, 547, 4001, 269, 901, 2376, 1201, 1371, 525, 1893, 4116, 2069, 593, 3450, 3294, 676, 3981, 532, 1079, 6562, 1092, 282, 630, 320, 264, 513, 10855, 2203, 602, 11225, 3450, 607, 513, 3375, 6194, 1184, 1759, 593, 519, 6688, 540, 1702, 267, 1983, 267, 10182, 267, 543, 4656, 543, 630, 321, 264, 513, 1644, 5943, 540, 1079, 18997, 2994, 1107, 2866, 543, 1646, 1107, 547, 4001, 3450, 269, 6154, 17507, 267, 667, 269, 661, 1421, 1299, 6154, 17507, 267, 962, 269, 590, 269, 630, 1960, 275, 1040, 9737, 10600, 281, 7457, 547, 2034, 1893, 11601, 269, 623, 2176, 17625, 267, 19760, 281, 26081, 655, 2335, 269, 2608, 634, 1433, 5036, 856, 547, 1683, 606, 7650, 540, 3069, 543, 2259, 538, 2034, 1893, 2069, 585, 519, 4324, 540, 3610, 267, 824, 1153, 10986, 267, 543, 2146, 2818, 3238, 609, 1053, 538, 26613, 267, 19636, 267, 543, 538, 13416, 5049, 609, 930, 700, 273, 1053, 269, 634, 3804, 568, 547, 948, 519, 1433, 781, 3988, 7520, 891, 1053, 685, 2619, 4724, 1893, 11601, 543, 1543, 1858, 1620, 269, 5940, 3307, 633, 2934, 540, 519, 1433, 1331, 922, 8561, 593, 2898, 1893, 4485, 547, 27380, 543, 922, 17890, 6514, 540, 2152, 856, 519, 1153, 2796, 267, 971, 607, 2146, 8456, 267, 2528, 267, 1871, 7526, 267, 543, 15366, 3310, 269, 4804, 3842, 5698, 568, 14129, 711, 1152, 585, 1053, 855, 849, 585, 519, 3610, 543, 1866, 945, 948, 1053, 1451, 269, 6154, 17507, 267, 681, 269, 630, 1960, 274, 1040, 634, 2956, 540, 16045, 1909, 538, 18756, 1565, 269, 11554, 14430, 538, 12409, 23008, 2524, 267, 476, 280, 267, 476, 272, 268, 736, 269, 2878, 265, 589, 1259, 538, 799, 2034, 1893, 3610, 666, 946, 2079, 540, 2875, 11407, 547, 1174, 875, 1507, 1895, 5872, 11225, 1053, 262, 5107, 3448, 547, 1142, 824, 568, 7152, 538, 513, 2013, 1353, 269, 634, 1353, 3379, 519, 16045, 1909, 540, 513, 476, 2641, 4458, 6040, 5545, 5256, 2875, 538, 606, 14021, 2296, 2034, 1893, 1982, 538, 1079, 1114, 2875, 8424, 269, 769, 835, 6292, 267, 519, 1641, 1705, 711, 7119, 4628, 267, 4951, 17140, 267, 543, 4847, 519, 824, 16045, 547, 3313, 519, 6384, 540, 519, 5872, 269, 769, 519, 2034, 6292, 267, 519, 1641, 7858, 7007, 2490, 23824, 609, 1010, 7649, 543, 3459, 547, 13498, 5128, 607, 513, 16048, 16045, 538, 519, 4928, 2528, 269, 898, 568, 11943, 602, 519, 5872, 1063, 1053, 666, 2901, 3970, 610, 3986, 1053, 262, 3255, 547, 7119, 543, 21907, 2495, 267, 543, 519, 4116, 568, 538, 513, 2990, 547, 26544, 547, 1689, 519, 12145, 3919, 540, 519, 6292, 610, 1895, 269, 769, 1840, 267, 621, 568, 6069, 602, 950, 519, 4116, 666, 2697, 2994, 602, 1053, 616, 1210, 547, 6707, 21907, 2495, 267, 1352, 610, 646, 666, 948, 782, 1053, 1020, 971, 2994, 676, 1818, 873, 8763, 269, 12821, 625, 267, 590, 269, 808, 269, 630, 2735, 276, 1040, 25398, 9525, 538, 1893, 1565, 269, 2107, 1633, 334, 267, 18919, 543, 6115, 267, 9823, 281, 670, 2117, 22620, 4858, 576, 808, 990, 534, 990, 747, 543, 4741, 585, 11930, 23008, 2524, 269, 2608, 901, 1433, 5956, 609, 513, 4901, 540, 32705, 2034, 1893, 3450, 543, 922, 6286, 585, 519, 4657, 5107, 540, 3610, 543, 1053, 269, 8921, 267, 12499, 5035, 9263, 5872, 568, 5941, 269, 3973, 267, 519, 2278, 15109, 2185, 2010, 540, 3444, 7400, 9263, 9525, 538, 1312, 2034, 543, 4914, 1893, 8658, 630, 338, 877, 21943, 267, 954, 14079, 267, 954, 25217, 267, 543, 23483, 1070, 875, 547, 1305, 909, 971, 3292, 267, 543, 741, 15338, 690, 545, 543, 8739, 8584, 8997, 2640, 269, 634, 2063, 3296, 593, 519, 1433, 568, 513, 5758, 540, 1382, 1644, 547, 9263, 9525, 538, 1893, 1565, 269, 25661, 807, 25832, 267, 631, 269, 623, 1421, 1299, 623, 3821, 267, 570, 269, 630, 1220, 271, 1040, 700, 273, 15226, 5872, 538, 513, 4914, 1893, 4259, 281, 3657, 1565, 2115, 9619, 286, 4139, 5623, 540, 11930, 23008, 2524, 267, 476, 4343, 267, 476, 3374, 268, 6812, 269, 634, 1739, 1353, 729, 17298, 547, 2232, 2055, 543, 4145, 827, 519, 2296, 607, 513, 14579, 5678, 630, 9128, 299, 264, 4928, 607, 606, 1604, 602, 8992, 3403, 267, 5955, 543, 519, 2504, 540, 3977, 585, 2034, 1893, 630, 299, 273, 264, 1565, 269, 769, 1931, 547, 2232, 891, 4145, 267, 519, 5872, 540, 5722, 10085, 6758, 540, 661, 14566, 6267, 729, 3379, 609, 602, 540, 5722, 10085, 6758, 540, 661, 14566, 6267, 543, 2296, 22085, 338, 593, 1079, 2792, 4247, 269, 634, 6476, 7000, 602, 519, 15226, 268, 3598, 1676, 10085, 6758, 941, 711, 3648, 1114, 689, 519, 15226, 9539, 306, 10085, 6758, 609, 2463, 547, 741, 9295, 540, 3403, 267, 5955, 543, 3977, 607, 789, 15548, 538, 519, 2792, 4247, 269, 11778, 540, 519, 1353, 6462, 519, 661, 14566, 1604, 607, 513, 1565, 1604, 282, 2705, 267, 10409, 538, 3147, 340, 20874, 593, 6267, 685, 851, 6700, 602, 538, 1840, 547, 32705, 2238, 267, 811, 6098, 267, 8239, 15129, 4485, 949, 849, 581, 538, 1931, 269, 717, 817, 267, 590, 269, 631, 1421, 1299, 966, 16336, 529, 267, 661, 269, 631, 269, 630, 2735, 276, 1040, 17130, 8390, 543, 1875, 28921, 270, 12061, 28921, 19908, 540, 2495, 269, 769, 590, 269, 631, 269, 717, 817, 1299, 595, 269, 717, 269, 631, 5417, 523, 630, 32295, 13776, 18452, 538, 2034, 1893, 11601, 630, 653, 269, 476, 14983, 268, 14065, 1040, 18007, 2917, 267, 10790, 281, 1715, 12064, 5600, 269, 2608, 901, 3184, 5359, 513, 1353, 602, 8947, 19908, 585, 2495, 538, 835, 17574, 543, 1079, 268, 1259, 4247, 5473, 8370, 715, 10064, 9539, 10064, 630, 12061, 28921, 10584, 264, 10085, 6758, 269, 634, 3173, 1336, 602, 281, 630, 320, 264, 954, 32643, 12781, 1031, 811, 23053, 734, 320, 646, 13145, 781, 5365, 602, 1620, 814, 711, 1044, 6192, 734, 1993, 1412, 684, 23100, 539, 3403, 262, 950, 519, 5872, 729, 835, 17574, 282, 630, 321, 264, 519, 1909, 540, 519, 954, 32643, 12460, 568, 1271, 269, 634, 23700, 540, 1344, 1031, 811, 23053, 540, 796, 23100, 539, 3403, 982, 519, 575, 1392, 540, 519, 1344, 269, 634, 4589, 5815, 602, 513, 715, 10064, 666, 1118, 3403, 2649, 1043, 676, 6029, 602, 621, 814, 711, 1044, 7608, 267, 543, 971, 6786, 7520, 11601, 2094, 789, 1305, 519, 3942, 585, 1818, 796, 23100, 539, 3403, 2649, 1043, 269, 717, 817, 267, 590, 1421, 1299, 966, 16336, 529, 267, 661, 269, 630, 2735, 277, 1040, 11557, 3604, 538, 1875, 333, 894, 10584, 5991, 517, 333, 894, 10584, 4205, 269, 769, 681, 269, 681, 269, 4303, 630, 10955, 4700, 32695, 547, 1451, 281, 22062, 566, 538, 2034, 1893, 11601, 630, 653, 269, 476, 27628, 268, 31620, 1040, 11785, 281, 1715, 12064, 5600, 269, 2608, 901, 1353, 27180, 3023, 3604, 538, 715, 10064, 21610, 10064, 4205, 1063, 26613, 6267, 540, 513, 2582, 1893, 4282, 269, 634, 6538, 585, 519, 1353, 5161, 540, 476, 1789, 7148, 539, 7391, 540, 476, 1015, 715, 10064, 21610, 10064, 10085, 6758, 269, 2353, 5396, 941, 5065, 5545, 4079, 4974, 538, 606, 14021, 1893, 1982, 693, 519, 2296, 5678, 4659, 540, 519, 2160, 540, 12309, 269, 2986, 519, 476, 1015, 10085, 6758, 267, 2185, 941, 5256, 11721, 24580, 8424, 267, 1614, 941, 5256, 8276, 1446, 8424, 267, 543, 1614, 941, 4775, 11721, 24580, 8424, 269, 3962, 10085, 611, 15548, 538, 513, 6643, 4305, 543, 1079, 4605, 17393, 5524, 4247, 269, 3962, 540, 519, 4247, 729, 11746, 29627, 867, 539, 543, 519, 1101, 476, 1015, 3764, 540, 1142, 4305, 729, 1098, 8282, 269, 634, 2164, 941, 9916, 2687, 547, 2185, 6688, 281, 630, 272, 264, 19908, 540, 2495, 282, 630, 273, 264, 3584, 282, 630, 274, 264, 17282, 282, 543, 630, 275, 264, 14375, 9259, 269, 634, 4681, 540, 519, 1353, 7866, 3604, 538, 519, 2081, 2367, 543, 2021, 2170, 538, 6643, 538, 1482, 20967, 543, 6587, 20967, 10085, 6758, 269, 2755, 519, 2367, 7902, 547, 20441, 538, 7391, 609, 2021, 538, 2081, 602, 3177, 3255, 585, 6721, 2649, 1043, 3977, 267, 2021, 15748, 811, 2495, 16395, 982, 2367, 538, 6404, 20967, 10085, 6758, 269, 634, 2164, 849, 1397, 602, 5256, 8276, 1446, 8424, 8858, 811, 9525, 538, 519, 6643, 3294, 267, 543, 621, 568, 11130, 602, 713, 4249, 606, 1271, 1909, 538, 13844, 2649, 1043, 3403, 269, 717, 817, 267, 590, 269, 631, 1421, 1299, 966, 16336, 529, 267, 661, 269, 631, 269, 630, 1960, 275, 1040, 18452, 267, 5872, 267, 543, 2034, 1893, 2504, 269, 5525, 538, 5822, 5678, 21733, 9974, 267, 476, 1626, 267, 476, 27543, 268, 23714, 269, 634, 1909, 540, 17187, 4205, 538, 519, 1646, 540, 513, 2034, 1893, 814, 1044, 3844, 538, 519, 2487, 2034, 1893, 11601, 3332, 269, 2755, 513, 1390, 4308, 568, 1631, 1634, 827, 519, 1259, 538, 799, 1875, 333, 894, 10529, 2170, 609, 5065, 10529, 543, 824, 1875, 333, 894, 10529, 267, 2370, 568, 1634, 827, 519, 9434, 2360, 540, 891, 4205, 593, 513, 1875, 333, 894, 779, 10409, 1646, 269, 901, 1957, 4481, 27180, 519, 2078, 1851, 3403, 5872, 267, 543, 2034, 1893, 2504, 269, 3414, 1239, 689, 5065, 5991, 517, 333, 894, 10584, 4205, 538, 513, 4287, 3766, 1516, 4305, 267, 649, 1397, 602, 1312, 9168, 3403, 543, 5872, 1860, 4305, 2773, 269, 1717, 267, 1152, 5872, 814, 606, 1198, 593, 7766, 4305, 2773, 269, 717, 2465, 267, 681, 269, 654, 269, 630, 1960, 277, 1040, 7335, 270, 8586, 11925, 585, 519, 26613, 4928, 269, 570, 2464, 5357, 4750, 267, 476, 276, 263, 274, 1070, 476, 275, 268, 277, 269, 2878, 265, 2677, 32606, 519, 1909, 540, 2542, 270, 8586, 11925, 585, 2034, 25082, 13460, 607, 513, 8465, 1259, 547, 10891, 513, 1362, 585, 5339, 6044, 269, 769, 713, 1604, 267, 1053, 666, 3442, 1851, 7471, 1514, 2238, 5473, 2542, 267, 1603, 267, 6340, 543, 6947, 1510, 4743, 2604, 547, 8858, 513, 25509, 2773, 1169, 942, 269, 717, 2465, 267, 681, 269, 654, 269, 630, 1960, 280, 1040, 18964, 26613, 1053, 547, 1224, 269, 570, 2464, 5357, 4750, 267, 476, 279, 263, 272, 1070, 476, 274, 268, 278, 269, 2608, 901, 2376, 6799, 2093, 585, 8716, 513, 2648, 540, 2542, 1851, 26613, 1053, 693, 10026, 543, 1647, 1153, 1377, 269, 634, 2278, 5956, 676, 10771, 519, 2629, 2470, 540, 28146, 4632, 538, 2542, 267, 711, 1152, 538, 8159, 10182, 4724, 2542, 855, 849, 585, 2810, 8223, 269, 769, 1840, 547, 10182, 267, 891, 28146, 4632, 1331, 8404, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 676, 8301, 16897, 22082, 543, 17082, 267, 12049, 5682, 15595, 724, 269, 7638, 517, 3821, 4639, 2760, 9709, 547, 2097, 1394, 547, 16429, 743, 1515, 269, 1809, 950, 1200, 1609, 337, 6548, 6689, 3659, 4422, 7508, 693, 4262, 267, 7638, 517, 3821, 7024, 547, 519, 6552, 6532, 547, 1291, 513, 5906, 6051, 4685, 1107, 1152, 547, 1265, 9887, 16290, 538, 513, 3126, 540, 14015, 25310, 609, 1200, 5135, 546, 13388, 1782, 269, 1809, 602, 779, 519, 2547, 540, 1200, 2042, 269, 1703, 779, 1945, 5667, 701, 752, 762, 1524, 972, 609, 1200, 269, 23985, 519, 22163, 619, 1810, 1406, 1616, 1200, 547, 1265, 2507, 715, 2117, 2670, 729, 2813, 676, 12049, 5682, 15595, 724, 543, 18281, 12672, 1512, 269, 18838, 676, 18281, 12672, 1512, 267, 16952, 5675, 676, 12049, 5682, 15595, 724, 269, 6034, 539, 676, 12049, 5682, 15595, 724, 269, 21277, 1027, 676, 12049, 5682, 15595, 724, 543, 10910, 18649, 5617, 548, 5633, 269, 15445, 1160, 3027, 619, 281, 3627, 15588, 338, 543, 631, 14709, 19258, 517, 269, 13870, 15440, 8061, 514, 2701, 23311, 269, 13870, 18509, 13541, 4911, 11253, 962, 8811, 966, 7860, 676, 631, 14709, 670, 4526, 267, 1744, 531, 7236, 24872, 2088, 267, 661, 1014, 744, 262, 289, 31151, 267, 2098, 4141, 717, 5585, 267, 8210, 514, 3026, 340, 2536, 267, 15623, 26566, 1122, 518, 267, 13744, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 21581, 10794, 6184, 2869, 725, 257, 607, 851, 540, 834, 16300, 16337, 1315, 9012, 570, 773, 24493, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 538, 519, 2749, 540, 30912, 267, 7977, 267, 972, 729, 513, 1895, 540, 7874, 948, 619, 1572, 834, 299, 2329, 28247, 625, 1701, 1358, 6170, 741, 2395, 1818, 4190, 30824, 1210, 513, 2027, 4480, 1572, 834, 300, 559, 534, 3150, 700, 864, 10435, 1701, 901, 1826, 540, 30824, 1818, 729, 899, 513, 3014, 267, 1141, 789, 1131, 15827, 6094, 16060, 1927, 547, 1711, 10347, 3270, 780, 3080, 1554, 267, 513, 2370, 8004, 3957, 12756, 10272, 519, 700, 2329, 28247, 625, 262, 18638, 269, 2701, 4718, 782, 519, 10477, 16060, 543, 9289, 875, 789, 1500, 971, 6946, 6272, 269, 634, 6205, 540, 519, 700, 2329, 28247, 625, 267, 20153, 807, 267, 20493, 543, 1767, 267, 834, 2171, 946, 1945, 1572, 513, 27342, 16535, 547, 3180, 519, 8142, 269, 3973, 267, 649, 15827, 621, 936, 543, 896, 824, 16060, 547, 1711, 519, 4806, 3010, 300, 7559, 4280, 267, 834, 1432, 781, 513, 27342, 16535, 8119, 20153, 807, 4951, 1200, 513, 1507, 838, 944, 609, 8142, 20386, 1472, 621, 269, 834, 8450, 286, 898, 781, 1175, 899, 23090, 20612, 5196, 513, 3440, 2437, 1352, 6045, 780, 29310, 267, 12756, 543, 20153, 807, 3323, 4730, 519, 30912, 3150, 700, 864, 10435, 3014, 269, 20153, 807, 11461, 12756, 781, 3946, 607, 789, 4371, 519, 27342, 321, 1231, 543, 649, 8491, 873, 998, 519, 16060, 269, 12756, 17254, 326, 1194, 607, 1352, 4121, 875, 547, 3444, 519, 27342, 321, 1231, 936, 543, 896, 1142, 824, 269, 17652, 2614, 267, 1352, 2813, 1200, 1378, 6263, 4062, 540, 30824, 2439, 2026, 789, 5249, 267, 811, 543, 811, 700, 2329, 28247, 625, 8678, 873, 269, 3962, 835, 5280, 12756, 1174, 1114, 3344, 540, 519, 4739, 1107, 930, 7152, 875, 547, 1832, 519, 8082, 5812, 1247, 1866, 6026, 1200, 875, 547, 1246, 513, 4806, 269, 12756, 19557, 32348, 267, 6998, 2055, 950, 1352, 4769, 1405, 1174, 780, 5475, 513, 1906, 3108, 267, 12756, 1185, 1500, 1896, 4773, 540, 30824, 269, 2701, 23217, 10268, 1200, 13144, 547, 1200, 1007, 2828, 267, 945, 1750, 1229, 543, 804, 11474, 585, 1200, 22920, 269, 12756, 5433, 865, 6126, 543, 9599, 547, 1397, 1200, 1920, 1018, 1352, 1185, 1500, 780, 5804, 1287, 593, 267, 12756, 13736, 30912, 3150, 700, 864, 10435, 1169, 4960, 1352, 3893, 269, 24269, 2576, 2877, 6351, 267, 1352, 23362, 3838, 1200, 3395, 1702, 269, 3807, 899, 519, 700, 2329, 28247, 625, 16219, 267, 2324, 1927, 1500, 2870, 30824, 1256, 811, 11791, 269, 1656, 8164, 12756, 11402, 7965, 267, 1352, 15422, 602, 6998, 2055, 3366, 547, 1565, 543, 5355, 1200, 1983, 780, 4517, 865, 267, 12756, 2968, 1634, 2429, 30912, 607, 922, 21836, 543, 1034, 25981, 700, 2329, 15248, 269, 2060, 9639, 267, 2259, 267, 543, 7279, 267, 4896, 1223, 1451, 519, 1148, 540, 30912, 3150, 700, 864, 10435, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2252, 713, 568, 519, 1360, 1101, 942, 596, 723, 1031, 606, 8116, 267, 596, 786, 6157, 581, 16990, 569, 27086, 676, 519, 2241, 1184, 538, 799, 596, 666, 1118, 707, 1433, 532, 269, 1411, 666, 3346, 721, 519, 2338, 11593, 2139, 593, 1283, 540, 519, 2985, 267, 946, 938, 2228, 13214, 1106, 610, 1118, 946, 540, 519, 1402, 5346, 6643, 4216, 543, 1205, 4052, 7840, 689, 938, 31394, 20843, 269, 2311, 938, 2754, 267, 649, 2832, 2760, 2479, 547, 1118, 11234, 24543, 20277, 5428, 4174, 13827, 26823, 2471, 267, 543, 938, 2021, 616, 6045, 538, 519, 1854, 652, 1505, 547, 1118, 1978, 602, 707, 4830, 14799, 1433, 532, 568, 13991, 547, 707, 1808, 2115, 269, 1411, 666, 581, 2386, 602, 759, 6326, 609, 721, 568, 513, 5326, 676, 3294, 607, 1134, 607, 2306, 1978, 547, 1118, 707, 5326, 5949, 1454, 1732, 982, 1585, 824, 27257, 13959, 10909, 269, 1452, 21031, 616, 6074, 585, 741, 3982, 12588, 547, 2743, 707, 10054, 543, 24787, 568, 7683, 24458, 689, 519, 4090, 540, 1433, 532, 909, 2394, 12032, 540, 707, 5870, 269, 2659, 20106, 568, 14134, 779, 607, 1134, 607, 938, 10875, 14799, 779, 1291, 328, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 300, 559, 534, 3150, 700, 864, 10435, 257, 607, 851, 540, 834, 290, 32323, 4811, 1299, 670, 15477, 10292, 2464, 1315, 10261, 548, 1740, 1315, 700, 864, 1299, 570, 520, 1154, 2580, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 0, 8080, 547, 938, 3408, 540, 7913, 3203, 256, 1411, 1522, 581, 11842, 1018, 3059, 1148, 1256, 1797, 910, 1134, 267, 621, 781, 2241, 256, 5502, 540, 1210, 2757, 2645, 899, 5862, 1962, 16640, 543, 666, 341, 1162, 267, 5159, 1711, 741, 25704, 609, 5904, 543, 824, 3059, 3457, 269, 1358, 946, 3301, 3292, 602, 1450, 873, 547, 2721, 267, 5862, 267, 543, 1374, 5863, 4773, 540, 11247, 780, 5331, 1373, 2111, 547, 1689, 4778, 267, 11453, 7306, 267, 543, 5546, 14678, 1247, 2870, 707, 11247, 1107, 1100, 991, 547, 2973, 26814, 610, 3575, 19267, 256, 2334, 781, 519, 1379, 540, 3059, 1148, 269, 1656, 1655, 540, 782, 267, 2094, 3388, 568, 10710, 6475, 1227, 267, 596, 1810, 1405, 723, 547, 5855, 827, 4881, 856, 540, 2230, 610, 1818, 9073, 269, 3807, 5734, 3768, 334, 267, 543, 21350, 10042, 256, 2659, 12161, 7106, 8986, 780, 2467, 616, 1082, 1114, 2010, 540, 3059, 1148, 267, 971, 607, 8642, 1374, 267, 14318, 267, 476, 274, 291, 9781, 267, 543, 811, 269, 18753, 9858, 1419, 1711, 27291, 267, 19297, 267, 543, 7270, 676, 9256, 2592, 267, 23935, 267, 543, 4778, 538, 3860, 2081, 269, 1323, 574, 2209, 3142, 3197, 543, 2984, 547, 1272, 998, 3001, 5961, 267, 799, 666, 581, 2938, 538, 9413, 267, 7641, 2982, 267, 543, 3381, 3756, 269, 476, 274, 291, 2203, 619, 1628, 5691, 3615, 543, 5054, 602, 1413, 11212, 10853, 267, 3006, 865, 1454, 865, 602, 789, 2811, 2182, 547, 10646, 689, 1483, 11147, 2439, 3080, 4241, 2460, 540, 3059, 1148, 568, 922, 4276, 547, 1686, 269, 6056, 827, 4583, 3140, 2621, 899, 519, 1977, 7169, 610, 519, 6406, 2782, 269, 5994, 952, 649, 1185, 1569, 547, 10367, 2813, 1282, 1346, 2053, 855, 1223, 849, 1294, 875, 2413, 5159, 4612, 891, 8090, 1210, 1152, 3059, 2645, 269, 1215, 1131, 12959, 267, 1004, 267, 543, 4664, 581, 6719, 8335, 286, 901, 11100, 540, 2250, 543, 1459, 5932, 2189, 3255, 585, 9423, 543, 8086, 780, 11101, 267, 4763, 4249, 513, 1713, 1909, 538, 5935, 3059, 1148, 1932, 269, 15316, 4529, 3565, 741, 5380, 543, 6163, 267, 23429, 713, 2479, 21608, 5420, 269, 1280, 1383, 267, 4952, 606, 7376, 16471, 3504, 5259, 18305, 609, 13777, 22618, 2609, 6273, 676, 2257, 5708, 269, 2107, 5310, 2576, 3096, 5545, 30951, 2553, 1369, 513, 7524, 267, 19347, 1158, 269, 1452, 10659, 13686, 875, 3309, 10080, 3310, 7499, 4082, 780, 1103, 3932, 267, 3059, 1148, 3091, 11995, 7399, 585, 5876, 543, 5647, 269, 898, 2636, 721, 547, 1451, 689, 1686, 1247, 11319, 6302, 883, 1007, 11182, 269, 1635, 6220, 1585, 2686, 7506, 267, 3059, 1148, 3587, 513, 3638, 13795, 18955, 1927, 676, 2029, 543, 1480, 9345, 269, 1924, 10544, 707, 18935, 639, 267, 10856, 267, 610, 8726, 1907, 596, 4782, 267, 543, 1577, 781, 4685, 883, 519, 9735, 7706, 540, 3059, 1148, 1927, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 280, 4649, 1894, 281, 14062, 12493, 267, 2806, 745, 3960, 334, 267, 9142, 540, 8535, 630, 24589, 14702, 1070, 9142, 540, 7849, 7070, 540, 667, 516, 343, 601, 2160, 267, 2920, 540, 3117, 24537, 267, 476, 6977, 275, 267, 5410, 2581, 670, 583, 2023, 267, 16989, 4207, 2575, 267, 3979, 1977, 7467, 538, 15740, 267, 3979, 4892, 267, 3979, 6396, 626, 9210, 4593, 29914, 5783, 267, 25812, 12677, 4984, 267, 23076, 7412, 630, 306, 7968, 14011, 1070, 589, 1460, 10276, 268, 17809, 775, 267, 1325, 667, 17144, 630, 24589, 14702, 1070, 19186, 1415, 267, 1715, 3840, 267, 19186, 636, 15129, 4224, 267, 5981, 320, 5769, 267, 2353, 268, 18080, 5925, 267, 2353, 550, 1144, 267, 12425, 267, 7537, 31076, 267, 1977, 17020, 1056, 267, 1977, 16340, 26511, 7577, 267, 1977, 6406, 2782, 267, 1977, 2296, 267, 1977, 25016, 5948, 267, 1977, 2442, 2575, 267, 1977, 7169, 267, 1977, 21829, 2782, 267, 1977, 31597, 5494, 13477, 267, 2549, 10177, 330, 267, 9147, 5259, 267, 2561, 749, 622, 5480, 267, 2561, 749, 622, 16278, 267, 589, 1090, 1046, 267, 5246, 9335, 630, 24589, 14702, 1070, 9351, 9479, 476, 21497, 267, 476, 29045, 267, 543, 476, 275, 3393, 267, 9351, 9479, 476, 29637, 543, 476, 4366, 275, 267, 589, 1066, 320, 25624, 13477, 267, 1488, 6352, 15190, 518, 267, 1488, 614, 658, 4155, 267, 3203, 16388, 10381, 267, 7489, 4892, 267, 5948, 585, 5398, 3203, 267, 5948, 540, 3013, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 19445, 3203, 257, 607, 851, 540, 834, 11286, 1315, 3778, 1315, 12634, 630, 3707, 276, 268, 29215, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 267, 538, 519, 1507, 4884, 540, 17451, 13582, 267, 5030, 2185, 2828, 281, 12964, 4458, 6040, 15609, 267, 1200, 4587, 7015, 7665, 630, 338, 4869, 8696, 1070, 741, 7023, 6004, 269, 16399, 630, 572, 1203, 344, 19317, 1070, 543, 2199, 7172, 4115, 15516, 269, 4793, 878, 807, 630, 3228, 344, 32732, 1040, 3962, 1185, 2189, 5380, 855, 3838, 513, 2648, 585, 2542, 543, 519, 1604, 780, 3080, 13566, 12784, 267, 1247, 19855, 519, 5399, 21684, 267, 15609, 16686, 2066, 606, 1303, 6005 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 547, 2057, 19168, 1014, 3354, 8041, 269, 7201, 16467, 539, 5238, 267, 24338, 1930, 10665, 267, 543, 519, 6228, 540, 3964, 1159, 10212, 1782, 14540, 3565, 547, 19168, 779, 2990, 538, 519, 27640, 18352, 2872, 269, 11990, 5900, 320, 24759, 267, 7022, 1063, 476, 1220, 280, 543, 476, 1001, 273, 267, 15748, 5571, 3646, 547, 2569, 519, 1909, 540, 29032, 538, 19168, 779, 3075, 4123, 563, 9213, 267, 19168, 568, 513, 6237, 1379, 543, 6237, 30566, 16638, 1010, 1433, 1744, 820, 24732, 609, 519, 8061, 559, 267, 8225, 17086, 19524, 7931, 2946, 334, 667, 718, 18311, 3810, 15951, 519, 21781, 293, 7980, 543, 4108, 10986, 563, 763, 4108, 4238, 543, 4108, 14985, 1993, 519, 21781, 293, 616, 12497, 2213, 593, 519, 9139, 540, 19168, 267, 19168, 779, 4521, 593, 20331, 10414, 13639, 15613, 267, 543, 918, 1993, 328, 7788, 534, 4139, 13458, 15209, 9751, 10418, 263, 25605, 7709, 12839, 264, 11650, 547, 799, 21781, 293, 568, 1140, 652, 1807, 269, 21781, 293, 4108, 4238, 616, 13401, 896, 519, 513, 22273, 1182, 543, 6650, 1756, 540, 519, 12080, 540, 16470, 630, 27770, 291, 264, 10579, 585, 4347, 775, 563, 7212, 19168, 568, 5266, 12560, 543, 568, 1419, 2808, 547, 581, 835, 540, 519, 2547, 10795, 2477, 538, 519, 3148, 267, 19168, 814, 4810, 2797, 5208, 538, 519, 2250, 543, 476, 1001, 278, 814, 3976, 2484, 2938, 606, 16057, 7678, 538, 13685, 12592, 676, 2797, 20494, 341, 1734, 563, 1103, 476, 1001, 278, 267, 19168, 9896, 519, 6167, 14097, 593, 519, 1160, 22128, 540, 17437, 1284, 777, 976, 563, 295, 558, 18400, 6411, 616, 19275, 676, 1876, 538, 19168, 269, 4340, 547, 476, 1001, 274, 5619, 676, 519, 623, 1168, 3194, 4741, 267, 476, 9834, 260, 540, 19168, 2103, 3494, 602, 32270, 1058, 711, 581, 7608, 676, 2486, 269, 6884, 2025, 2021, 538, 19168, 616, 15034, 540, 31783, 267, 3226, 538, 6917, 19168, 269, 12983, 540, 31783, 5631, 2611, 607, 1179, 2827, 1759, 593, 22530, 1431, 1369, 3885, 269, 769, 930, 2694, 540, 7187, 19168, 267, 972, 6818, 1018, 568, 1572, 513, 18338, 3786, 563, 1607, 568, 1767, 547, 2777, 513, 2698, 540, 1472, 476, 272, 267, 1822, 1004, 15034, 540, 31783, 7868, 19168, 1014, 2229, 814, 9307, 602, 621, 30242, 547, 2673, 519, 13122, 563, 4407, 2021, 538, 19168, 616, 2016, 3160, 2924, 896, 519, 11156, 540, 19168, 267, 13103, 538, 2069, 267, 7694, 267, 543, 3782, 585, 2021, 2611, 11342, 563, 294, 327, 3570, 568, 606, 3328, 2067, 4199, 23353, 2197, 28429, 4853, 6886, 267, 30691, 543, 10475, 8407, 269, 898, 568, 606, 6932, 11280, 3059, 4346, 609, 6404, 4346, 10316, 5314, 543, 606, 6932, 2344, 609, 476, 279, 269, 278, 260, 12654, 2208, 538, 476, 1001, 273, 269, 898, 814, 606, 2804, 1544, 3077, 1634, 607, 519, 968, 294, 327, 3570, 17496, 476, 1708, 271, 6100, 901, 1544, 26195, 2888, 19168, 607, 519, 1101, 3979, 2197, 547, 1831, 513, 2919, 2197, 1063, 476, 1708, 271, 543, 476, 1708, 280, 543, 513, 9241, 4853, 2213, 2197, 1063, 476, 10711, 271, 543, 476, 10711, 280, 269, 901, 608, 11079, 8284, 6828, 540, 476, 2190, 4759, 543, 4427, 25781, 3979, 2197, 3162, 4000, 267, 799, 568, 513, 9241, 4853, 2213, 2197, 269, 19168, 779, 4346, 849, 814, 13218, 547, 519, 4457, 586, 10224, 15646, 2381, 6798, 2059, 609, 19168, 779, 5318, 4154, 14425, 269, 769, 476, 1001, 274, 267, 519, 7813, 540, 19168, 3459, 21883, 519, 15646, 2381, 6798, 2429, 19168, 1014, 1533, 24804, 8492, 543, 547, 519, 19168, 1857, 607, 2182, 9304, 2059, 609, 519, 3084, 19168, 524, 2664, 585, 2034, 3084, 4123, 9304, 269, 9737, 476, 1001, 273, 543, 476, 1001, 274, 267, 476, 4391, 269, 280, 2600, 540, 6917, 17743, 619, 941, 7680, 6710, 6466, 1152, 476, 1015, 269, 277, 2600, 540, 4683, 17743, 619, 941, 269, 31413, 2127, 3180, 3152, 4316, 585, 7694, 267, 3226, 538, 13016, 4123, 267, 1247, 5176, 782, 630, 11463, 2600, 264, 540, 6917, 4057, 10820, 7119, 538, 519, 6694, 5823, 563, 763, 1533, 24804, 5292, 3279, 5211, 16958, 543, 19168, 2817, 8891, 15950, 15278, 616, 519, 1079, 2101, 5201, 12696, 269, 634, 13019, 657, 558, 2692, 12456, 267, 3710, 593, 519, 5292, 3279, 5211, 538, 476, 3422, 276, 267, 2059, 609, 11370, 328, 12456, 267, 918, 335, 784, 12456, 267, 543, 1896, 824, 32394, 21394, 1683, 19558, 1077, 269, 769, 1840, 267, 519, 6554, 540, 19168, 814, 8179, 547, 1628, 519, 2034, 6046, 1379, 2030, 538, 4000, 563, 763, 19168, 14351, 16510, 568, 519, 476, 276, 628, 4102, 593, 18626, 4000, 543, 476, 274, 6113, 4102, 538, 1016, 1606, 24532, 4000, 609, 513, 2344, 3854, 5314, 540, 23435, 10634, 476, 6872, 269, 273, 5479, 610, 31368, 382, 354, 476, 5197, 269, 275, 5479, 538, 476, 1001, 273, 609, 519, 3162, 4000, 808, 10345, 17290, 607, 1101, 269, 634, 19168, 14351, 16510, 630, 294, 10345, 264, 729, 519, 476, 273, 526, 1655, 7900, 6006, 5385, 538, 1016, 1606, 24532, 4000, 538, 476, 1001, 274, 563, 294, 327, 3570, 849, 7472, 1164, 7779, 23342, 20193, 568, 519, 476, 273, 526, 4102, 16073, 540, 23342, 11451, 25467, 729, 15810, 547, 1831, 519, 1158, 779, 4102, 16073, 540, 23342, 538, 476, 1001, 276, 563, 294, 327, 3570, 568, 9286, 607, 513, 1647, 4747, 2197, 269, 7896, 2272, 585, 476, 2004, 260, 540, 12654, 267, 4553, 676, 5663, 630, 2190, 269, 272, 15992, 1349, 633, 6080, 630, 276, 15992, 543, 9204, 630, 736, 269, 280, 260, 1916, 763, 19168, 4346, 568, 606, 6932, 3059, 2861, 6404, 4346, 10316, 609, 606, 2810, 3119, 5663, 543, 13143, 540, 3059, 2029, 5370, 2059, 609, 7011, 1782, 543, 13143, 532, 26873, 543, 9635, 267, 3309, 4199, 3638, 13143, 566, 540, 4853, 6886, 267, 6694, 2472, 5097, 23342, 267, 19386, 543, 2067, 3154, 543, 6080, 971, 607, 1344, 543, 10618, 2029, 5097, 3842, 19168, 779, 1533, 3059, 2029, 18294, 681, 331, 326, 18058, 799, 3302, 999, 16979, 5904, 609, 16389, 543, 1585, 7082, 11418, 454, 30821, 15950, 543, 2067, 3154, 2504, 454, 763, 476, 1911, 260, 1533, 24804, 11423, 6728, 2754, 540, 19168, 267, 19168, 13813, 7577, 630, 32271, 6579, 264, 568, 519, 1297, 476, 272, 19386, 663, 3154, 11423, 6728, 540, 19168, 543, 519, 476, 1911, 260, 1533, 24804, 1533, 3282, 2754, 19168, 2817, 8891, 15950, 15278, 630, 294, 301, 15425, 264, 13327, 525, 8652, 21666, 3408, 543, 2504, 540, 19168, 779, 3003, 19386, 543, 2067, 3154, 14425, 563, 294, 327, 3570, 6663, 547, 2417, 2333, 3977, 540, 3282, 547, 476, 273, 269, 273, 2929, 29054, 630, 12573, 267, 1822, 544, 274, 264, 829, 1554, 543, 3154, 547, 476, 4097, 267, 1822, 267, 1822, 12945, 15432, 630, 272, 269, 273, 9943, 11820, 24140, 10264, 264, 829, 1554, 563, 294, 327, 3570, 779, 808, 889, 850, 324, 13813, 7615, 799, 3568, 909, 547, 476, 274, 5479, 29054, 630, 21878, 267, 1822, 267, 1822, 544, 274, 264, 540, 6653, 19020, 3282, 729, 4362, 538, 476, 1220, 278, 267, 1851, 519, 1082, 824, 21369, 543, 24654, 3282, 26753, 538, 19168, 563, 294, 327, 3570, 568, 5156, 547, 723, 909, 547, 476, 276, 5479, 29054, 630, 278, 3445, 267, 1822, 267, 1822, 544, 274, 264, 547, 476, 278, 5479, 29054, 630, 272, 269, 272, 9943, 11820, 544, 274, 264, 540, 19386, 538, 14425, 267, 799, 568, 519, 11359, 4102, 538, 4000, 543, 519, 476, 2641, 560, 547, 476, 1839, 628, 4102, 8810, 14425, 514, 519, 1158, 563, 2005, 849, 814, 909, 547, 476, 272, 269, 278, 9943, 6200, 272, 12945, 15432, 630, 277, 9943, 6200, 273, 24140, 10264, 264, 540, 2067, 3154, 538, 14425, 267, 799, 568, 519, 15795, 4102, 538, 4000, 543, 519, 476, 5392, 628, 4102, 2067, 3154, 8810, 14425, 538, 519, 1158, 563, 302, 559, 543, 3154, 3408, 4752, 19168, 779, 9456, 5032, 593, 519, 13323, 540, 19892, 568, 5571, 267, 543, 519, 2179, 540, 1312, 19020, 3282, 543, 2067, 3154, 5170, 547, 2333, 269, 634, 6554, 540, 19168, 814, 6537, 909, 4566, 547, 3084, 1047, 19168, 779, 3003, 19386, 543, 2067, 3154, 14425, 547, 2333, 2229, 8907, 563, 26581, 7434, 6886, 5599, 454, 15447, 333, 585, 922, 4853, 6886, 267, 19168, 568, 519, 1158, 779, 476, 278, 628, 4102, 16073, 540, 4154, 282, 6721, 936, 476, 9083, 11973, 9748, 540, 4154, 543, 519, 476, 1015, 628, 4102, 16073, 540, 4154, 538, 519, 1158, 538, 476, 1001, 273, 282, 6721, 476, 8660, 11973, 9748, 540, 4154, 563, 294, 327, 3570, 568, 519, 476, 273, 526, 4102, 16073, 540, 4154, 593, 519, 4000, 11782, 3297, 3162, 4000, 14371, 327, 3570, 814, 519, 476, 280, 628, 4102, 14425, 267, 543, 568, 519, 476, 280, 628, 4102, 16073, 267, 540, 19987, 538, 519, 1158, 269, 11633, 6886, 543, 18666, 689, 3162, 19168, 616, 4154, 267, 8988, 267, 16025, 267, 19987, 267, 536, 32706, 267, 543, 22670, 563, 763, 6554, 540, 19168, 814, 6537, 909, 4566, 547, 3084, 1047, 19168, 779, 3003, 5599, 2872, 547, 2333, 2229, 19614, 563, 307, 8565, 543, 18666, 454, 1103, 5147, 476, 1001, 274, 267, 4139, 27617, 14135, 8118, 922, 476, 4343, 628, 2518, 5604, 538, 6452, 571, 267, 547, 1020, 4123, 543, 5092, 593, 17825, 267, 3282, 543, 3154, 2073, 18229, 267, 6283, 543, 7082, 9922, 563, 306, 532, 12940, 543, 19168, 849, 9896, 2185, 24845, 11650, 547, 3895, 1857, 5823, 543, 4357, 5823, 5698, 267, 607, 19168, 6663, 547, 15866, 6521, 922, 2804, 4123, 11450, 547, 5101, 5607, 543, 14913, 5607, 563, 763, 2804, 8998, 568, 594, 292, 14135, 779, 2034, 5604, 538, 4000, 267, 4947, 3670, 3275, 1310, 6679, 538, 29312, 7921, 267, 3162, 4000, 538, 5130, 476, 1001, 274, 269, 19168, 779, 11668, 3196, 538, 476, 1220, 279, 9103, 6817, 476, 1556, 269, 276, 2929, 19168, 1014, 4961, 563, 307, 9047, 4498, 13118, 568, 4000, 779, 4102, 812, 18478, 3771, 13118, 543, 28635, 528, 14508, 4498, 13118, 2059, 609, 7843, 320, 3771, 13118, 538, 19168, 20362, 5370, 543, 18666, 585, 19168, 563, 5445, 616, 849, 6808, 15118, 2388, 1141, 5370, 616, 1098, 327, 5792, 282, 519, 7843, 320, 3771, 13118, 20362, 519, 5354, 540, 519, 4182, 779, 13143, 18535, 543, 1034, 540, 519, 2197, 779, 8783, 18666, 568, 25855, 689, 28635, 528, 14508, 3771, 13118, 269, 634, 28635, 528, 14508, 3771, 13118, 543, 7843, 320, 3771, 13118, 616, 13234, 676, 519, 1533, 24804, 19168, 623, 2176, 543, 4498, 321, 2293, 16958, 563, 25821, 640, 5108, 5823, 454, 14112, 1137, 540, 5201, 723, 3366, 547, 546, 4548, 528, 630, 11825, 11962, 267, 12150, 543, 20437, 3167, 1379, 856, 1137, 1070, 2810, 519, 1719, 538, 5710, 1963, 563, 6097, 547, 3690, 10337, 4139, 779, 4856, 8306, 32185, 12039, 540, 476, 1001, 274, 267, 856, 540, 476, 10082, 2477, 267, 19168, 19486, 476, 8287, 6113, 609, 18010, 543, 18142, 17936, 269, 19168, 1185, 513, 6060, 540, 476, 5379, 593, 513, 4336, 1141, 513, 476, 271, 1700, 280, 6060, 1797, 3810, 18348, 267, 543, 513, 476, 3445, 1700, 1911, 6060, 1797, 1360, 2973, 563, 1607, 729, 1759, 593, 9228, 2157, 540, 1857, 5823, 13313, 269, 7093, 16227, 538, 476, 1001, 273, 267, 519, 2197, 19486, 476, 5038, 543, 20639, 476, 3393, 269, 4935, 267, 19168, 779, 1857, 5823, 20639, 2539, 538, 476, 1001, 274, 982, 538, 476, 1001, 273, 267, 2687, 547, 8713, 296, 779, 8464, 563, 26222, 5359, 723, 10645, 602, 19168, 19380, 2475, 259, 275, 269, 276, 5479, 12422, 689, 22194, 14407, 6469, 1587, 630, 301, 558, 1400, 12654, 264, 2208, 607, 513, 1267, 540, 2804, 13313, 543, 2804, 6760, 676, 519, 1651, 3518, 550, 2817, 14891, 6837, 630, 301, 17584, 264, 2229, 540, 19168, 3366, 676, 3627, 667, 1090, 8643, 10067, 4821, 563, 2005, 568, 849, 1767, 19168, 814, 4503, 606, 3606, 2475, 259, 273, 269, 276, 5479, 689, 22194, 14407, 6469, 1587, 18217, 558, 1400, 12654, 264, 2208, 1063, 519, 3275, 540, 5130, 476, 1001, 274, 547, 5239, 476, 1001, 274, 998, 2804, 18348, 2853, 896, 519, 10067, 4821, 7245, 563, 763, 1651, 3518, 550, 7022, 568, 2705, 2938, 547, 581, 8165, 13313, 676, 930, 2229, 2818, 267, 543, 513, 8284, 22267, 540, 606, 11685, 5428, 267, 1310, 19280, 13753, 883, 23215, 1023, 269, 16480, 1866, 3494, 1010, 3527, 616, 711, 6190, 538, 930, 2665, 563, 11990, 1520, 4777, 27173, 14673, 528, 267, 5067, 540, 5449, 5518, 3627, 3397, 344, 2131, 636, 27173, 14673, 528, 267, 543, 25391, 14765, 7788, 534, 267, 5067, 540, 5449, 14199, 29731, 540, 519, 2136, 8315, 918, 1993, 328, 7788 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 2412, 269, 279, 2929, 2367, 543, 476, 4510, 269, 280, 2929, 2021, 269, 3097, 5194, 1455, 25012, 2014, 568, 5711, 15333, 21082, 946, 269, 2920, 10474, 540, 519, 15646, 514, 268, 836, 3999, 839, 514, 268, 12245, 16238, 1062, 630, 6938, 3008, 264, 568, 519, 2693, 7271, 267, 1317, 646, 31154, 10282, 540, 2587, 3999, 839, 514, 4094, 568, 13251, 676, 519, 21110, 5057, 540, 5711, 15333, 1061, 1161, 269, 27051, 476, 276, 260, 540, 2021, 2921, 5711, 15333, 1061, 1161, 949, 1020, 13119, 267, 799, 705, 919, 1369, 476, 277, 3275, 1310, 19944, 6672, 269, 634, 1981, 2188, 585, 5711, 15333, 21082, 1700, 817, 18620, 13119, 1331, 7646, 17669, 2068, 267, 22686, 1686, 540, 1898, 13119, 267, 2085, 4587, 982, 476, 3374, 1296, 267, 543, 8377, 269, 898, 1131, 581, 1732, 547, 1895, 5711, 15333, 1061, 1161, 543, 28335, 609, 3075, 14001, 13119, 630, 5408, 7305, 476, 272, 267, 2630, 1916, 2252, 6197, 12381, 616, 13385, 547, 3035, 519, 3804, 22680, 267, 972, 616, 1896, 3075, 3681, 585, 8156, 543, 5883, 13119, 269, 774, 27927, 728, 1019, 675, 9455, 267, 606, 2587, 3999, 839, 514, 8410, 31844, 11747, 28166, 630, 19781, 296, 264, 1315, 836, 3999, 839, 514, 13805, 3625, 518, 630, 2752, 289, 1070, 610, 7513, 8756, 3625, 518, 630, 6717, 289, 264, 616, 519, 9053, 8069, 538, 1875, 18872, 5095, 267, 6466, 16671, 24871, 610, 555, 27927, 728, 1019, 675, 9455, 616, 23163, 538, 3109, 29998, 2400, 5095, 269, 476, 1452, 7840, 798, 711, 23868, 519, 946, 540, 31984, 20127, 610, 8121, 24871, 538, 2126, 540, 3109, 2550, 267, 610, 16671, 24871, 610, 1019, 675, 9455, 538, 1875, 15918, 871, 7606, 269, 10705, 267, 2550, 2154, 1896, 4550, 1506, 13630, 2400, 8069, 547, 3035, 7850, 22680, 1852, 563, 763, 4791, 1871, 540, 1210, 834, 5471, 20326, 6794, 257, 607, 513, 5868, 814, 5892, 1044, 23503, 1813, 547, 1114, 5036, 540, 20849, 543, 18106, 10368, 7355, 269, 1452, 4145, 723, 3366, 519, 1977, 12128, 5948, 543, 519, 3864, 5948, 585, 519, 5530, 540, 12128, 547, 3390, 513, 4745, 3948, 7114, 5216, 2101, 4145, 593, 519, 4791, 10626, 540, 519, 10894, 6794, 5868, 269, 634, 9030, 4661, 814, 1044, 602, 950, 1476, 15929, 2188, 971, 607, 8377, 616, 20039, 585, 267, 5868, 540, 519, 10894, 6794, 814, 513, 30050, 7681, 609, 519, 1981, 540, 2295, 2068, 563, 2026, 22765, 6050, 4228, 267, 865, 1281, 519, 15435, 540, 10894, 6794, 269, 898, 779, 6059, 602, 5176, 835, 540, 1169, 2185, 1977, 4079, 814, 713, 2783, 263, 272, 1040, 1403, 596, 2461, 835, 540, 873, 267, 621, 12662, 596, 593, 519, 3950, 547, 3384, 1826, 476, 273, 3987, 543, 2468, 1255, 707, 1981, 585, 2295, 2068, 1524, 519, 4155, 269, 634, 8446, 540, 10894, 6794, 1079, 5756, 3516, 263, 273, 264, 568, 1631, 6444, 607, 513, 7432, 1448, 538, 938, 1620, 540, 875, 10307, 666, 979, 1659, 787, 267, 4611, 538, 8377, 267, 3987, 543, 9025, 2068, 563, 317, 16869, 19937, 593, 21091, 13832, 585, 31292, 2657, 543, 11485, 22159, 538, 5753, 543, 20390, 30105, 267, 2817, 9839, 267, 25016, 267, 543, 10552, 4659, 630, 13356, 476, 1001, 272, 1040, 834, 2750, 13630, 8470, 593, 7471, 4808, 585, 9025, 1072, 543, 1981, 5786, 538, 1453, 543, 10708, 281, 5758, 1867, 2668, 27435, 269, 476, 12553, 4675, 331, 476, 276, 281, 590, 22659, 1700, 6321, 269, 8222, 281, 1015, 269, 15150, 273, 9706, 2644, 269, 1220, 280, 268, 13975, 278, 290, 269, 6751, 290, 476, 28526, 4792, 279, 273, 269, 20163, 476, 13136, 279, 6246, 3066, 563, 291, 2884, 776, 2242, 281, 634, 1072, 1416, 8502, 1522, 4363, 513, 2732, 602, 2882, 811, 5388, 630, 18034, 21364, 3039, 5388, 1070, 5613, 267, 1970, 19339, 10683, 2472, 267, 543, 6775, 11656, 3536, 267, 543, 7864, 11950, 267, 9600, 267, 9268, 3536, 267, 543, 24494, 10425, 269, 1261, 610, 1352, 849, 1522, 4363, 8600, 1970, 1606, 18754, 8286, 543, 711, 4946, 6070, 547, 3536, 269, 13772, 856, 585, 3536, 609, 6266, 540, 6456, 6070, 630, 3697, 3694, 267, 32409, 267, 16741, 267, 543, 1082, 13962, 543, 3728, 32103, 3681, 1040, 0, 15900, 9412, 562, 262, 24305, 454, 4198, 271, 781, 268, 7212, 3344, 540, 621, 4358, 6029, 538, 4505, 2575, 267, 9412, 562, 262, 24305, 729, 2808, 547, 581, 4535, 538, 519, 476, 4198, 271, 781, 269, 2349, 1132, 267, 22258, 267, 543, 2197, 5916, 547, 1711, 513, 2189, 2511, 1572, 9412, 269, 3509, 5159, 6591, 741, 21239, 1851, 1762, 24921, 676, 7900, 593, 1977, 17020, 1056, 267, 513, 1397, 602, 513, 1600, 689, 476, 4198, 273, 2394, 476, 2735, 280, 269, 12830, 5159, 689, 713, 8717, 602, 5280, 1020, 9412, 562, 24305, 1331, 1862, 674, 1846, 12358, 3626, 268, 674, 1846, 12358, 3626, 729, 1634, 607, 606, 681, 261, 289, 543, 9412, 562, 262, 24305, 32058, 626, 269, 1411, 5873, 538, 713, 5152, 513, 1360, 1455, 17784, 339, 4806, 1031, 538, 2038, 4224, 562, 5066, 14440, 269, 589, 514, 1405, 2334, 589, 1744, 877, 674, 1846, 729, 4535, 543, 6659, 538, 1715, 20252, 267, 519, 4332, 2897, 540, 15690, 269, 3571, 1920, 729, 540, 3943, 11511, 1961, 4282, 543, 1010, 1920, 729, 1360, 7574, 269, 3571, 4651, 5129, 519, 30413, 543, 1010, 796, 3380, 729, 3238, 538, 519, 15690, 6429, 563, 2419, 3089, 7137, 787, 268, 24305, 3683, 2142, 29348, 932, 3089, 7137, 787, 568, 1869, 9800, 543, 7900, 256, 1261, 781, 519, 1152, 7376, 602, 649, 616, 6158, 827, 2221, 689, 519, 476, 2004, 781, 945, 568, 1869, 9800, 269, 1879, 6947, 547, 1010, 13176, 4730, 596, 666, 5873, 519, 21462, 3310, 538, 1010, 2575, 269, 1261, 4249, 609, 536, 1742, 538, 519, 4967, 543, 568, 606, 6909, 1561, 6665, 518, 269, 932, 3089, 7137, 787, 4607, 519, 12183, 2012, 519, 834, 292, 4156, 24635, 4526, 257, 1317, 540, 1010, 9029, 547, 7820, 9458, 563, 289, 28854, 4591, 569, 6261, 1122, 4445, 590, 826, 6844, 344, 4591, 569, 5747, 538, 513, 7077, 16154, 1282, 513, 2575, 4663, 269, 1261, 729, 538, 519, 1482, 7077, 602, 7166, 681, 527, 2151, 4406, 839, 269, 898, 729, 606, 11212, 13249, 2680, 602, 6273, 5213, 15966, 548, 517, 547, 2328, 519, 5152, 1977, 26629, 563, 2171, 324, 10045, 6592, 513, 5152, 1572, 6844, 344, 4591, 569, 538, 1412, 11463, 269, 1548, 798, 596, 1589, 519, 4276, 568, 547, 6844, 344, 4591, 569, 888, 289, 650, 670, 1446, 344, 268, 9291, 670, 1446, 344, 543, 3571, 1290, 1115, 616, 6444, 607, 1373, 519, 1895, 602, 2731, 3323, 547, 2442, 1125, 9412, 562, 24305, 538, 519, 2038, 476, 2004, 781, 609, 9412, 15907, 634, 1849, 1442, 269, 5637, 540, 9291, 670, 1446, 344, 781, 3237, 941, 12372, 543, 1100, 8969, 1185, 513, 7096, 1198, 593, 1010, 1569, 547, 1565, 621, 563, 14976, 6665, 3465, 2917, 268, 4432, 6665, 2968, 1634, 607, 519, 3751, 540, 9412, 562, 24305, 269, 1261, 8057, 909, 538, 14967, 1141, 1010, 2575, 4876, 3459, 269, 1261, 16621, 1082, 3344, 540, 519, 21462, 1519, 3029, 971, 607, 519, 476, 1321, 3046, 21462, 543, 589, 5723, 11430, 878, 1106, 269, 4432, 6665, 6170, 1079, 1296, 538, 519, 4108, 538, 476, 4198, 279, 269, 1879, 646, 8120, 1753, 646, 759, 25390, 2870, 2575, 543, 1256, 6170, 930, 942, 538, 16127, 269, 594, 1589, 782, 519, 3579, 1004, 979, 547, 16127, 256, 808, 841, 5264, 9412, 454, 305, 599, 8176, 268, 12231, 634, 10003, 10793, 14105, 8176, 729, 513, 1360, 1271, 22459, 538, 519, 1646, 540, 9412, 562, 262, 24305, 269, 1261, 535, 4310, 21462, 267, 22258, 267, 543, 9997, 547, 3565, 513, 1360, 2189, 3280, 269, 3958, 267, 646, 1031, 2197, 21462, 543, 1193, 728, 14440, 6163, 538, 1010, 2575, 269, 5899, 728, 14440, 568, 513, 4480, 1031, 538, 15690, 2575, 602, 3096, 513, 2647, 2039, 540, 4967, 538, 519, 18369, 1688, 543, 561, 1742, 519, 1318, 1688, 519, 5191, 547, 27906, 1047, 563, 3422, 271, 781, 268, 2467, 616, 865, 1082, 6909, 5159, 689, 519, 476, 2568, 781, 602, 8329, 547, 519, 1646, 540, 9412, 562, 24305, 269, 594, 6415, 2469, 547, 2446, 513, 7008, 1934, 563, 1805, 1314, 19475, 729, 513, 10916, 18638, 602, 1185, 513, 1804, 1909, 538, 8744, 1004, 1927, 547, 2594, 2575, 269, 853, 1314, 781, 2777, 6512, 729, 3883, 518, 570, 543, 519, 631, 294, 781, 269, 5682, 2201, 687, 3883, 518, 570, 543, 519, 631, 294, 781, 616, 606, 15747, 1187, 330, 6512, 602, 1185, 513, 5458, 3310, 936, 7013, 543, 6490, 874, 529, 9997, 2575, 269, 1306, 519, 2777, 6512, 585, 853, 1314, 789, 10483, 1082, 1271, 22407, 1519, 17305, 529, 4414, 3429, 563, 763, 10016, 23767, 6441, 1737, 22256, 667, 10005, 17664, 543, 519, 10016, 23767, 941, 835, 540, 519, 1034, 9565, 7763, 1144, 630, 19547, 20936, 2594, 6003, 264, 2516, 540, 519, 476, 2568, 781, 269, 1358, 3323, 607, 24354, 3427, 6690, 945, 941, 6444, 607, 1360, 16805, 269, 1358, 4607, 1489, 689, 741, 2146, 547, 4283, 19194, 269, 17926, 11146, 729, 835, 540, 741, 1034, 2442, 8964, 540, 519, 2038, 476, 2568, 781, 563, 763, 16047, 27258, 268, 1607, 782, 5256, 6512, 729, 4646, 538, 476, 3422, 272, 543, 941, 11212, 16805, 538, 17774, 4224, 269, 5080, 21129, 262, 7330, 568, 835, 1383, 540, 741, 2442, 11824, 873, 539, 8964, 269, 1411, 666, 5873, 1561, 14876, 13176, 678, 14554, 269, 11910, 543, 3210, 538, 519, 4938, 1023, 1282, 519, 669, 11501, 568, 24188, 540, 22258, 2575, 563, 763, 19468, 956, 24493, 1152, 476, 1015, 1296, 267, 594, 666, 1405, 4952, 513, 6512, 602, 729, 811, 30508, 543, 811, 8097, 982, 519, 19468, 956, 269, 1358, 941, 2797, 267, 20369, 32676, 545, 267, 543, 11212, 2442, 269, 3245, 6628, 267, 789, 4298, 1042, 782, 936, 2342, 543, 3013, 543, 1256, 6592, 930, 540, 741, 8964, 538, 4436, 269, 594, 9364, 899, 547, 2671, 513, 1199, 2917, 540, 741, 2575, 609, 596, 269, 1215, 1082, 540, 891, 8964, 616, 5432, 547, 596, 286, 2405, 2917, 454, 297, 574, 328, 26673, 3700, 6261, 584, 921, 670, 10270, 568, 606, 1383, 540, 13343, 328, 781, 4075, 340, 13920, 538, 13176, 4730, 269, 1261, 536, 1742, 1010, 4967, 543, 27906, 2478, 950, 4730, 269, 3571, 2575, 5088, 806, 21462, 267, 3440, 6758, 267, 681, 261, 289, 267, 543, 15690, 269, 13343, 328, 26673, 3700, 5340, 693, 519, 2575, 13037, 267, 8381, 18450, 267, 538, 476, 3422, 280, 269, 0, 268, 3690, 9146, 14409, 263, 5357, 9143, 994, 268, 8890, 6776, 14409, 267, 1210, 8579, 1505, 263, 5357, 4338, 264, 610, 3684, 270, 28669, 1049, 1565, 1505, 263, 10574, 14086, 994, 6518, 568, 1759, 593, 661, 12171, 269, 595, 15957, 781, 6935, 2203, 267, 568, 519, 2757, 630, 16673, 2041, 454, 2865, 2442, 264, 3498, 1826, 540, 24766, 5960, 543, 1034, 1004, 616, 1360, 454, 325, 13399, 609, 621, 269, 901, 2022, 13290, 547, 17412, 1644, 4066, 538, 454, 534, 24608, 4393, 267, 799, 568, 4922, 7550, 538, 3375, 1489, 454, 8512, 594, 910, 1548, 4578, 547, 21302, 888, 1103, 17423, 8081, 263, 528, 6355, 11106, 994, 17882, 267, 1239, 547, 581, 9916, 2356, 2501, 689, 10512, 1062, 2676, 328, 4318, 1421, 744, 299, 9143, 22228, 6538, 269, 1452, 22228, 12240, 616, 1419, 454, 331, 11343, 693, 1114, 13623, 4882, 2572, 267, 949, 581, 1210, 1114, 24766, 5960, 454, 341, 754, 528, 781, 2472, 267, 1210, 1114, 1239, 28203, 543, 8806, 2270, 1239, 454, 5976, 514, 513, 5266, 2110, 942, 12732, 563, 2414, 1118, 513, 1434, 1870, 454, 20657, 2888, 267, 621, 781, 9244, 5551, 547, 3180, 3140, 1239, 267, 2070, 873, 538, 454, 320, 7833, 539, 1259, 543, 711, 21898, 532, 519, 3232, 10512, 1604, 563, 13295, 2501, 856, 519, 4578, 654, 732, 5264, 267, 799, 568, 513, 23789, 540, 606, 3919, 781, 6475, 1227, 6740, 1239, 543, 568, 2966, 547, 7520, 8989, 543, 2079, 563, 23330, 1049, 1239, 630, 514, 744, 299, 9143, 1062, 264, 568, 13939, 267, 9927, 263, 10193, 19345, 264, 543, 16041, 263, 2421, 21180, 299, 1016, 17882, 264, 883, 454, 1492, 1239, 23999, 585, 2417, 7421, 269, 744, 299, 4338, 543, 20336, 1949, 1224, 454, 28205, 1239, 267, 5659, 873, 267, 3132, 3730, 5359, 543, 1459, 873, 547, 454, 754, 6357, 5350, 264, 3755, 269, 630, 8450, 6516, 2630, 994, 8512, 4083, 910, 1215, 547, 21302, 888, 2467, 616, 1079, 2081, 547, 5659, 1239, 538, 1239, 23999, 912, 272, 269, 4578, 14086, 454, 10574, 14086, 568, 519, 10868, 540, 6456, 16762, 1344, 689 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 9661, 10953, 267, 519, 5467, 949, 27642, 602, 789, 616, 835, 540, 519, 3197, 543, 666, 1294, 267, 5873, 267, 1745, 267, 9329, 267, 543, 6492, 519, 1919, 602, 616, 8345, 1472, 873, 563, 1432, 779, 1776, 2262, 585, 21599, 888, 8138, 11302, 542, 568, 513, 28395, 585, 10161, 269, 1411, 666, 1265, 1644, 2474, 899, 607, 6678, 337, 718, 618, 543, 6678, 337, 718, 618, 538, 713, 2985, 779, 1644, 1913, 3296, 269, 1411, 666, 849, 1265, 1884, 11618, 585, 21599, 971, 607, 900, 619, 542, 543, 1266, 1484, 618, 538, 713, 2985, 779, 1644, 1913, 3296, 563, 1692, 666, 594, 23365, 538, 2470, 888, 1015, 11822, 14313, 585, 1975, 2056, 5384, 538, 519, 4279, 4934, 13073, 454, 268, 5269, 606, 4674, 547, 6108, 942, 3544, 1169, 1554, 454, 268, 3605, 513, 1007, 5172, 2067, 1858, 454, 268, 8571, 267, 2721, 267, 8523, 267, 610, 1118, 513, 22916, 517, 27012, 540, 519, 9867, 18282, 543, 3270, 538, 2470, 602, 596, 1294, 1472, 596, 563, 268, 6875, 513, 3802, 538, 519, 18137, 609, 4656, 563, 268, 6875, 5961, 540, 519, 1034, 4190, 23863, 563, 268, 21733, 790, 513, 1007, 9205, 2702, 454, 1692, 798, 596, 1205, 513, 1433, 27153, 888, 1692, 547, 1831, 513, 811, 7722, 5467, 454, 268, 10925, 606, 1439, 547, 707, 1554, 323, 3195, 532, 607, 596, 1224, 269, 15526, 814, 4810, 519, 17140, 540, 4358, 513, 1433, 1152, 547, 8275, 602, 649, 4076, 8737, 621, 543, 666, 1406, 3314, 513, 2582, 2262, 540, 1018, 649, 4076, 1224, 563, 268, 24517, 3433, 593, 2542, 1152, 835, 1433, 693, 513, 942, 563, 268, 13159, 607, 1082, 9089, 607, 596, 7654, 666, 563, 268, 5269, 513, 1592, 540, 3388, 563, 268, 25037, 532, 543, 17804, 454, 1432, 568, 519, 3017, 1063, 24760, 543, 27153, 888, 763, 2262, 779, 889, 1067, 613, 685, 5693, 5267, 602, 519, 1268, 610, 6221, 568, 4625, 24760, 538, 1216, 269, 2048, 3412, 21670, 685, 1281, 711, 5815, 713, 267, 855, 621, 1281, 711, 4625, 4341, 621, 856, 2901, 563, 1432, 568, 519, 10902, 1106, 540, 27153, 888, 8276, 333, 270, 1315, 332, 337, 333, 270, 715, 1735, 269, 1315, 19282, 270, 1315, 332, 337, 333, 270, 715, 1735, 269, 8056, 619, 542, 630, 514, 1945, 264, 568, 519, 957, 540, 21477, 3101, 2576, 610, 1945, 883, 513, 5277, 267, 3226, 971, 602, 789, 610, 621, 568, 11207, 4988, 282, 519, 1533, 540, 1373, 4625, 4988, 676, 513, 5277, 563, 9989, 23365, 723, 513, 18772, 888, 296, 337, 2784, 5573, 267, 13141, 710, 267, 22113, 267, 9414, 267, 21477, 613, 267, 23365, 3054, 538, 267, 23735, 5573, 538, 543, 883, 616, 1079, 1913, 602, 4766, 519, 2495, 540, 519, 18772, 563, 1432, 568, 519, 3597, 2262, 585, 21599, 888, 763, 2165, 722, 367, 9404, 619, 542, 16357, 7389, 1394, 547, 476, 5611, 271, 543, 568, 6508, 689, 519, 17623, 5824, 21599, 655, 630, 333, 7631, 894, 9284, 1470, 1070, 513, 10902, 540, 2962, 689, 519, 2250, 32096, 6565, 540, 708, 1067, 613, 516, 2048, 1729, 726, 25128, 538, 267, 16702, 883, 267, 16173, 267, 21477, 613, 16224, 799, 568, 606, 15849, 23624, 1106, 540, 538, 268, 2048, 20041, 267, 538, 267, 593, 267, 2390, 16224, 689, 519, 623, 23966, 3597, 2608, 523, 2048, 20041, 267, 593, 267, 2390, 16224, 7132, 519, 5824, 19467, 516, 722, 367, 1729, 726, 25128, 538, 630, 5408, 19467, 1040, 0, 31880, 528, 728, 2126, 568, 1851, 519, 1034, 2500, 2409, 540, 7303, 5694, 9178, 269, 901, 1106, 540, 2126, 666, 581, 13950, 547, 1312, 2937, 2550, 543, 3214, 269, 634, 24782, 693, 3751, 4639, 19239, 3588, 4019, 513, 21973, 2126, 547, 513, 3461, 781, 4522, 538, 1114, 30422, 971, 607, 17371, 267, 642, 7568, 880, 267, 610, 575, 1564, 563, 6097, 547, 938, 9952, 543, 4810, 24782, 267, 21973, 267, 513, 6923, 9648, 7777, 267, 6411, 538, 1079, 3982, 2081, 912, 12749, 673, 21973, 666, 12927, 4522, 602, 723, 30192, 689, 519, 14779, 269, 898, 6707, 22467, 6233, 519, 19596, 543, 10240, 9094, 621, 547, 1118, 621, 811, 11259, 547, 519, 9178, 1184, 269, 2755, 22521, 21973, 666, 581, 1336, 538, 5959, 2472, 971, 607, 575, 1564, 267, 5023, 32092, 525, 267, 543, 26025, 267, 24782, 693, 3751, 4639, 19239, 3588, 2709, 3318, 21973, 2126, 585, 782, 938, 2550, 563, 21902, 1738, 21973, 666, 12927, 4522, 538, 519, 1646, 5123, 630, 974, 996, 9944, 519, 14779, 264, 543, 1346, 1657, 519, 10733, 1899, 269, 901, 1106, 540, 21973, 2126, 666, 581, 1336, 538, 3536, 543, 1216, 7727, 563, 31880, 528, 728, 2126, 543, 5711, 1072, 454, 288, 2347, 21973, 2126, 568, 1271, 585, 3214, 543, 12322, 9907, 476, 277, 547, 476, 1626, 1296, 269, 634, 2126, 568, 849, 1898, 585, 4079, 607, 1134, 269, 5525, 1397, 602, 21973, 4249, 513, 1713, 1909, 538, 17923, 707, 4522, 19596, 543, 32485, 519, 3355, 5933, 540, 5694, 9178, 563, 2690, 891, 4128, 267, 938, 4810, 543, 7874, 5959, 1416, 5234, 338, 5000, 938, 2550, 547, 2015, 21973, 2126, 269, 2311, 3751, 4639, 19239, 3588, 267, 649, 9244, 18973, 1996, 2469, 21173, 609, 3063, 21973, 269, 769, 2013, 707, 2370, 21425, 3824, 3949, 1932, 1454, 21973, 267, 972, 568, 513, 1434, 4960, 789, 786, 1439, 909, 609, 14806, 2670, 269, 901, 568, 513, 2783, 6353, 676, 32630, 1957, 3043, 1858, 630, 332, 843, 1070, 2138, 339, 1194, 15649, 630, 7116, 4733, 1070, 6960, 25859, 771, 14808, 4851, 630, 572, 3164, 264, 593, 4522, 269, 11408, 5077, 609, 707, 11290, 693, 3751, 4639, 19239, 3588, 1354, 6220, 21973, 2126, 538, 707, 4819, 781, 5711, 1416, 1544, 563, 3963, 29433, 21973, 2126, 888, 23744, 267, 1216, 543, 707, 2732, 798, 513, 1390, 2816, 538, 519, 11865, 540, 21973, 269, 1717, 267, 596, 1522, 2154, 3606, 21973, 547, 1832, 5694, 9178, 693, 15922, 269, 19239, 1235, 693, 3751, 4639, 19239, 3588, 666, 4363, 513, 29433, 21973, 2126, 585, 2550, 609, 519, 1739, 2175, 912, 268, 1401, 12723, 543, 6213, 3597, 7252, 454, 268, 17327, 9882, 2042, 454, 268, 12213, 535, 1170, 999, 593, 519, 21400, 2627, 540, 519, 3461, 781, 4522, 454, 268, 14627, 550, 4616, 540, 11950, 543, 14836, 454, 268, 10765, 5959, 9178, 2042, 454, 268, 6184, 11211, 6165, 540, 26025, 609, 21973, 454, 268, 8555, 704, 19975, 3350, 269, 901, 1880, 2783, 568, 3361, 676, 930, 2564, 6381, 610, 2126, 563, 2750, 13630, 12071, 528, 728, 32192, 454, 7628, 606, 13393, 267, 707, 11290, 693, 3751, 4639, 19239, 3588, 786, 4019, 2126, 538, 519, 1106, 540, 15074, 610, 17371, 269, 634, 3318, 786, 849, 2709, 5583, 3823, 1310, 3249, 585, 21973, 5574, 269, 1411, 786, 581, 4280, 547, 31831, 689, 6704, 610, 4189, 4376, 585, 827, 476, 1789, 3764, 547, 1450, 707, 15090, 569, 16543, 547, 10110, 519, 21973, 3927, 269, 3807, 899, 824, 2564, 5773, 267, 21973, 2126, 568, 2404, 609, 513, 1906, 7646, 2427, 2360, 269, 901, 568, 519, 3119, 2601, 519, 5650, 1590, 581, 17411, 676, 606, 4274, 563, 4263, 3751, 4639, 19239, 3588, 649, 616, 2141, 11235, 547, 5873, 689, 596, 543, 2709, 519, 948, 596, 991, 269, 3883, 606, 13393, 2630, 256, 9349, 2561, 2002, 618, 0, 23777, 1227, 6158, 267, 12092, 568, 606, 538, 3829, 6609, 540, 513, 1268, 779, 1272, 269, 898, 2882, 811, 982, 3044, 5013, 267, 2943, 519, 1268, 779, 1995, 540, 1272, 14026, 269, 901, 6609, 568, 3622, 2813, 676, 519, 1367, 5128, 267, 543, 568, 3622, 1572, 606, 26249, 563, 291, 665, 644, 1090, 553, 2995, 519, 1650, 540, 513, 1888, 454, 23777, 1227, 4607, 5238, 267, 2703, 644, 1090, 553, 616, 1875, 27395, 9413, 602, 1217, 519, 9661, 540, 513, 1641, 269, 1452, 8874, 7866, 513, 6216, 20642, 1448, 540, 2070, 593, 513, 1641, 610, 16616, 513, 1007, 5168, 827, 606, 3390, 269, 1358, 1522, 849, 1860, 2442, 6644, 593, 519, 3390, 269, 15394, 267, 891, 9413, 616, 3254, 2603, 540, 2053, 547, 3986, 513, 4105, 1523, 563, 16449, 835, 540, 519, 1034, 2442, 2994, 585, 10213, 971, 9413, 568, 609, 513, 5639, 1478, 269, 16480, 267, 513, 5639, 1478, 568, 1175, 835, 540, 1896, 2409, 602, 1522, 581, 8246, 547, 1217, 519, 1650, 563, 2304, 3606, 4640, 568, 1818, 946, 540, 10643, 547, 2995, 513, 1650, 269, 1452, 10643, 949, 581, 17479, 538, 606, 9631, 23036, 2615, 2511, 610, 538, 606, 16878, 1374, 269, 1452, 10643, 616, 1500, 946, 540, 547, 18663, 519, 5304, 547, 1224, 519, 2592, 538, 513, 1880, 2511, 563, 288, 1685, 894, 2594, 568, 513, 2186, 540, 17245, 602, 18252, 2123, 2984, 547, 3132, 1514, 5013, 269, 1452, 8941, 4749, 5635, 606, 1367, 779, 1360, 1378, 9661, 609, 3677, 8978, 610, 2797, 18408, 269, 901, 2511, 814, 12212, 1044, 1572, 7812, 18703, 779, 1374, 267, 2705, 621, 568, 711, 11658, 547, 1864, 563, 3080, 540, 519, 1034, 4909, 851, 540, 1022, 1826, 540, 17245, 568, 519, 5048, 621, 20205, 269, 901, 568, 4481, 1271, 538, 17245, 602, 616, 1500, 547, 18663, 2962, 269, 1452, 2703, 644, 1090, 553, 11129, 547, 1930, 519, 2489, 1857, 779, 4064, 547, 2984, 602, 616, 2356, 20495, 610, 16618, 563, 21761, 267, 519, 17245, 786, 4183, 23278, 4925, 602, 616, 1312, 2123, 543, 849, 11285, 269, 1452, 6386, 666, 581, 7184, 3001, 543, 849, 666, 2709, 519, 21951, 513, 1523, 540, 1946, 1004, 3494, 1018, 789, 1589, 563, 8505, 11893, 2762, 568, 2813, 676, 519, 1367, 2933, 454, 15371, 596, 1711, 707, 1360, 1378, 17728, 610, 960, 609, 513, 15293, 23116, 547, 798, 621, 585, 596, 267, 621, 779, 1271, 547, 1832, 538, 2247, 513, 7008, 540, 4909, 4441, 269, 1411, 20053, 547, 2671, 513, 1880, 1377, 540, 1641, 2032, 267, 855, 798, 711, 1118, 3054, 1932, 1582, 18022, 29193, 563, 2791, 11338, 20053, 547, 8415, 513, 1978, 2511, 547, 707, 4324, 269, 1280, 1383, 267, 596, 1223, 1118, 946, 540, 4540, 17173, 267, 602, 2306, 707, 1650, 3100, 811, 8216, 543, 849, 6752, 762, 563, 8505, 11893, 13132, 666, 581, 606, 5140, 1797, 547, 2671, 707, 1272, 2984, 609, 1866, 269, 1358, 616, 513, 4960, 547, 2995, 707, 1650, 547, 18663, 1866, 607, 1134, 607, 1780, 593, 4105, 1272, 4245, 269, 16480, 267, 596, 991, 547, 581, 2386, 602, 596, 616, 3246, 707, 3988, 513, 1134, 7059, 267, 4570, 2272, 269, 1411, 1810, 1406, 20053, 547, 2285, 873, 791, 13440, 1047, 3877, 610, 19849, 23035, 3877, 563, 2791, 11338, 991, 547, 581, 2386, 602, 596, 616, 21882, 707, 17728, 609, 19969, 269, 1306, 606, 1383, 267, 596, 1810, 1406, 1616, 547, 8415, 513, 4049, 267, 11830, 5367, 26841, 540, 606, 608, 3766, 20071, 23136, 610, 1585, 824, 1268, 563, 2791, 11338, 6999, 547, 1294, 547, 621, 602, 596, 616, 1603, 707, 17728, 689, 513, 18615, 1448, 540, 2070, 269, 1403, 596, 723, 513, 3126, 540, 31061, 610, 513, 1650, 7282, 707, 6689, 267, 1118, 2386, 602, 596, 616, 21882, 519, 1650, 538, 519, 1697, 1931, 563, 2791, 11338, 6999, 547, 1331, 8101, 1272, 14026, 607, 1134, 607, 2621, 602, 723, 513, 4105, 1198, 593, 707, 1272, 269, 1280, 1383, 267, 952, 596, 11124, 513, 2101, 32657, 777, 267, 596, 666, 3382, 4010, 875, 596, 973, 10967, 730, 689, 519, 2013, 563, 1805, 4450, 540, 513, 12092, 454, 23744, 267, 513, 6915, 568, 513, 7768, 2272, 540, 606, 1367, 779, 1272, 269, 898, 568, 1114, 689, 824, 2010, 540, 1603, 538, 602, 621, 568, 23610, 543, 849, 711, 16494, 563, 288, 6915, 666, 581, 2854, 538, 513, 1297, 540, 1114, 6163, 269, 4437, 20802, 4122, 2328, 538, 513, 476, 274, 6113, 1367, 2239, 5639, 269, 1358, 946, 1883, 543, 6281, 2959, 269, 901, 5161, 540, 11401, 267, 2110, 4930, 267, 543, 849, 4760, 13366, 563, 18693, 13132, 666, 581, 1360, 1279, 610, 5618, 269, 589, 5618, 12092, 666, 1445, 593, 513, 2582, 8317, 610, 1367, 779, 1272, 269, 589, 3476, 12092, 666, 1331, 811, 1344, 543, 849, 1344, 827, 606, 1367, 779, 1272, 269, 589, 12092, 568, 2356, 2854, 538, 18615, 1931, 267, 4098, 609, 513, 6609, 540, 519, 1641, 779, 6107, 543, 849, 18138, 609, 513, 5758, 540, 519, 1641, 779, 1034, 1271, 1967, 563, 288, 6915, 568, 513, 1187, 1505, 547, 1711, 21882, 1983, 269, 898, 2636, 596, 547, 1711, 606, 3063, 2123, 1995, 585, 519, 21233, 269, 4437, 13132, 616, 2854, 538, 513, 476, 274, 6113, 1367, 2239, 5639, 267, 799, 2306, 873, 11791, 607, 1134, 607, 2653, 547, 1224, 563, 2467, 616, 3875, 19777, 2854 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 29557, 3427, 23559, 1053, 8495, 519, 1064, 14476, 543, 2258, 2510, 540, 17034, 3059, 2923, 269, 4841, 849, 4497, 538, 2238, 10704, 593, 741, 1378, 7913, 14272, 21646, 607, 789, 1569, 6639, 2200, 543, 3059, 2923, 563, 763, 946, 540, 971, 9477, 2645, 949, 581, 7164, 547, 1034, 3755, 267, 2687, 547, 513, 1382, 1957, 7868, 2409, 1765, 4385, 607, 17198, 31937, 532, 267, 2479, 322, 809, 625, 543, 23739, 5348, 1424, 1765, 732, 538, 946, 2066, 513, 2039, 540, 2442, 7270, 563, 763, 1966, 609, 2228, 2520, 2033, 30688, 12240, 971, 607, 717, 7236, 568, 602, 789, 2270, 1344, 593, 2713, 7606, 799, 568, 1419, 1031, 585, 3961, 19027, 563, 6546, 1131, 1331, 1919, 899, 3993, 779, 30823, 523, 2012, 543, 4332, 4266, 269, 2755, 971, 1344, 666, 581, 5833, 998, 5480, 5638, 267, 891, 1857, 5638, 616, 2356, 22356, 543, 513, 13927, 568, 2838, 547, 3489, 519, 1344, 269, 2637, 7002, 9609, 1382, 2645, 616, 5732, 5906, 585, 7834, 910, 596, 949, 711, 581, 10024, 1344, 3054, 267, 855, 930, 11397, 3448, 5461, 538, 1920, 1686, 1522, 581, 20392, 707, 1344, 2059, 609, 3025, 3116, 538, 519, 6905, 1920, 563, 2691, 513, 700, 3437, 2290, 667, 625, 281, 1215, 547, 6875, 3683, 513, 4317, 9012, 28483, 715, 6195, 21158, 2593, 1879, 513, 700, 3437, 2290, 667, 625, 281, 1215, 547, 6875, 3683, 513, 4317, 9012, 28483, 269, 4317, 2923, 4609, 723, 8795, 3652, 585, 875, 596, 666, 1491, 936, 519, 2272, 540, 513, 3448, 945, 814, 5747, 563, 290, 4878, 13906, 26851, 3135, 1031, 676, 10211, 2754, 547, 5818, 922, 17258, 2005, 5654, 12303, 9838, 547, 513, 6671, 2228, 2985, 540, 519, 26851, 519, 1482, 11768, 267, 1462, 2762, 267, 6402, 547, 824, 6810, 267, 543, 8292, 2630, 519, 1899, 563, 4415, 782, 519, 7270, 267, 1514, 2923, 6589, 267, 543, 8216, 1569, 547, 1344, 1299, 1239, 891, 616, 519, 3871, 602, 649, 1590, 4001, 938, 6107, 547, 2057, 269, 1717, 267, 621, 568, 2009, 286, 0, 308, 22744, 539, 593, 4119, 476, 278, 267, 476, 1001, 272, 454, 7476, 538, 5905, 7711, 302, 677, 330, 14241, 704, 454, 6624, 1004, 723, 4862, 540, 8751, 2274, 327, 17243, 781, 1412, 763, 15689, 262, 5152, 269, 2290, 1554, 594, 4956, 547, 3406, 585, 621, 2228, 547, 8357, 1047, 930, 8631, 827, 519, 2609, 543, 1336, 856, 602, 12253, 1412, 295, 14019, 25260, 262, 7101, 743, 858, 324, 1185, 5063, 973, 1243, 621, 593, 7641, 269, 594, 9289, 1018, 646, 630, 663, 519, 13588, 264, 1522, 723, 19927, 827, 519, 2609, 676, 6947, 547, 621, 855, 8710, 16897, 1862, 12898, 6947, 594, 1483, 2213, 519, 5152, 22821, 1405, 2965, 5143, 803, 4376, 827, 634, 11270, 545, 7305, 267, 4849, 1018, 781, 593, 621, 2336, 3383, 594, 4956, 547, 798, 1250, 1378, 5152, 267, 4481, 827, 634, 11270, 545, 7305, 563, 763, 669, 11501, 3568, 519, 1101, 476, 3607, 2609, 538, 1931, 909, 547, 918, 7973, 517, 563, 763, 1101, 14235, 6227, 2489, 9623, 827, 519, 11270, 545, 3349, 563, 763, 2034, 14235, 8638, 519, 1325, 330, 8932, 5450, 1023, 543, 634, 1325, 330, 13824, 3047, 5450, 1023, 563, 763, 3791, 14235, 8638, 519, 16199, 11077, 543, 519, 32201, 717, 1162, 563, 4131, 803, 917, 952, 713, 22850, 2337, 596, 693, 782, 1862, 528, 952, 621, 3085, 1405, 269, 4934, 540, 1719, 267, 952, 596, 4383, 547, 8357, 1047, 519, 669, 11501, 267, 875, 1279, 1705, 621, 1491, 563, 16591, 9939, 609, 707, 2090, 267, 610, 19818, 585, 1702, 563, 24092, 13334, 17821, 0, 763, 2063, 540, 519, 4816, 1630, 12002, 5734, 519, 2462, 476, 276, 268, 271, 713, 1032, 269, 2334, 5108, 540, 4892, 267, 4535, 1063, 476, 3707, 277, 543, 476, 3422, 275, 267, 2968, 5763, 1512, 267, 811, 3742, 543, 811, 9308, 3514, 982, 1022, 5108, 519, 2197, 1185, 2938, 547, 602, 1448, 269, 6145, 569, 602, 6941, 1946, 789, 630, 10498, 267, 649, 264, 4043, 547, 1589, 540, 2933, 607, 513, 2027, 5108, 267, 1114, 689, 1018, 3357, 1354, 610, 1310, 563, 289, 17879, 1630, 12002, 8831, 602, 2027, 4567, 547, 2686, 10124, 5189, 1282, 741, 6107, 269, 901, 1032, 814, 2938, 513, 838, 622, 540, 476, 2004, 628, 3045, 1392, 2456, 540, 2621, 602, 7018, 538, 519, 2063, 1032, 540, 519, 6477, 538, 519, 15295, 9226, 269, 769, 476, 3422, 275, 519, 1101, 18771, 836, 18202, 1055, 606, 10198, 1899, 538, 31351, 9799, 267, 5760, 5919, 519, 19468, 956, 8452, 538, 3013, 267, 4412, 2454, 968, 296, 21763, 547, 15579, 2659, 7435, 892, 547, 519, 1283, 540, 519, 2206, 956, 12125, 282, 22542, 15608, 729, 30792, 676, 519, 547, 2096, 6033, 13201, 15842, 630, 663, 519, 2165, 968, 9146, 4137, 892, 22579, 547, 10646, 621, 689, 519, 6564, 799, 267, 1577, 779, 3068, 621, 267, 621, 568, 5148, 6307, 7377, 335, 1231, 267, 3733, 12876, 15248, 543, 7108, 325, 5424, 6566, 328, 1229, 538, 7260, 519, 11596, 563, 3719, 972, 941, 824, 267, 18632, 4229, 693, 960, 538, 476, 3422, 275, 269, 1323, 32044, 6438, 1062, 540, 7292, 15746, 7283, 31737, 538, 519, 3162, 269, 2334, 4832, 1614, 3540, 2924, 15628, 941, 23689, 538, 14967, 1282, 519, 15213, 14400, 3350, 547, 11578, 3109, 17037, 269, 634, 1032, 1354, 513, 23837, 5939, 538, 27257, 267, 1325, 320, 1421, 729, 3595, 10514, 539, 267, 11318, 2185, 1762, 6690, 269, 769, 6837, 267, 8828, 9777, 2209, 18979, 569, 5706, 539, 8942, 547, 24905, 548, 17478, 563, 9617, 607, 16160, 729, 519, 8860, 6710, 538, 799, 4628, 476, 866, 2600, 540, 519, 2197, 2443, 827, 476, 3607, 2929, 1004, 2443, 5030, 269, 2349, 2931, 941, 25409, 12936, 676, 6710, 779, 1989, 574, 19178, 267, 855, 1100, 5198, 729, 4761, 269, 2334, 2968, 2312, 538, 476, 3422, 273, 950, 7812, 14250, 15838, 3370, 634, 4033, 3013, 267, 513, 14042, 16616, 799, 2322, 519, 3390, 593, 519, 3084, 16786, 563, 308, 10811, 4624, 569, 621, 729, 513, 3043, 772, 2529, 269, 7022, 689, 519, 3162, 945, 3576, 593, 1312, 10168, 543, 6710, 269, 769, 476, 3422, 275, 10370, 526, 517, 645, 269, 9652, 9896, 519, 6406, 7126, 2920, 543, 9250, 513, 7372, 11036, 547, 30817, 6710, 269, 898, 729, 513, 1289, 547, 7916, 585, 5126, 543, 8296, 563, 293, 604, 1399, 1296, 2663, 267, 519, 2197, 568, 2484, 689, 19101, 11802, 538, 519, 2112, 547, 2061, 6710, 269, 2991, 513, 10565, 6749, 538, 519, 3735, 476, 3422, 271, 338, 543, 11313, 3583, 338, 267, 519, 6710, 2557, 1631, 29134, 569, 11876, 951, 693, 1472, 476, 1428, 2600, 2443, 1152, 5594, 1524, 689, 476, 3422, 275, 779, 476, 866, 2600, 2443, 543, 5222, 827, 476, 5379, 2929, 1004, 269, 634, 3292, 9250, 538, 519, 476, 3422, 271, 338, 2693, 723, 15286, 519, 2557, 689, 16246, 2362, 269, 1809, 538, 2487, 1296, 1034, 540, 519, 12374, 538, 519, 4357, 4346, 723, 4324, 1540, 1152, 1346, 538, 1283, 26038, 269, 589, 24567, 8635, 538, 1977, 2486, 568, 635, 2364, 908, 519, 6710, 4605, 563, 289, 17879, 1630, 12002, 941, 519, 1101, 1977, 5108, 547, 1332, 909, 22992, 24584, 519, 1158, 547, 2087, 609, 942, 269, 1280, 519, 4057, 2443, 543, 2523, 585, 4057, 1004, 540, 2681, 2443, 602, 18387, 1406, 5949, 563, 1103, 3695, 519, 1888, 585, 713, 3390, 779, 3382, 1650, 267, 649, 941, 16994, 569, 3222, 602, 10442, 9652, 779, 5859, 2443, 8197, 267, 6710, 3294, 2443, 3788, 1543, 1190, 269, 1703, 779, 24895, 827, 519, 11036, 779, 1764, 267, 2436, 519, 19070, 531, 540, 5313, 3292, 20834, 1242, 538, 519, 2112, 1058, 581, 9450, 543, 1256, 875, 547, 2268, 6710, 563, 2467, 568, 267, 2705, 267, 2282, 796, 534, 14383, 602, 585, 20785, 540, 4906, 267, 2502, 519, 4057, 568, 513, 1875, 268, 10864, 582, 4192, 13400, 23626, 269, 1403, 1967, 568, 2009, 267, 621, 786, 1376, 609, 602, 563, 2080, 779, 15691, 602, 593, 930, 2104, 16683, 540, 519, 2112, 593, 6710, 267, 513, 3382, 1650, 4465, 1406, 581, 4143, 563, 1765, 7917, 667, 843, 599, 267, 15503, 538, 12751, 0, 299, 644, 23143, 8709, 2142, 29348, 781, 623, 10730, 12312, 1092, 3143, 269, 476, 1789, 538, 661, 2101, 267, 14956, 269, 476, 11820, 267, 7768, 538, 476, 9264, 271, 267, 568, 519, 1884, 788, 523, 738, 1493, 540, 1010, 14440, 5067, 21648, 269, 769, 621, 267, 1310, 519, 5458, 8621, 1067, 9383, 32667, 269, 623, 10730, 12312, 1092, 3143, 269, 1691, 538, 595, 8325, 5634, 267, 1566, 269, 2767, 1100, 269, 273, 834, 9855, 2775, 834, 1284, 782, 8593, 9601, 540, 519, 15931, 6725, 726, 1195, 676, 2142, 29348, 781, 17404, 267, 4769, 1405, 649, 286, 17451, 269, 1849, 1515, 632, 700, 2317, 568, 519, 1034, 4583, 3350, 540, 19863, 324, 13891, 1380, 344, 779, 2672, 924, 19161, 24252, 4302, 267, 543, 2501, 689, 513, 6648, 602, 1797, 968, 7599, 2775, 9232, 269, 2142, 29348, 281, 13159, 623, 10730, 12312, 21648, 1315, 21238, 6601, 526, 601, 24793, 11261, 281, 476, 1015, 270, 6187, 270, 1220, 280, 22443, 281, 1546, 17433, 18280, 690, 1948, 281, 476, 9826, 29044, 1708, 269, 2290, 540, 519, 1034, 4583, 18537, 2479, 2854, 269, 17214, 4583, 676, 3627, 6970, 1255, 267, 19416, 740, 812, 269, 634, 1101, 3350, 540, 2142, 29348, 781, 834, 9855, 2775, 834, 12312, 1092, 2073, 6029, 15537, 5689, 514, 22603, 781, 3946, 4730, 543, 21370, 543, 6671, 8464, 269, 14174, 304, 1627, 281, 2052, 594, 1205, 269, 8535, 6060, 17048, 540, 3059, 6656, 2575, 585, 14440, 2073, 30413, 267, 1591, 334, 267, 25041, 564, 543, 824, 7405, 267, 4712, 547, 4647, 269, 6168, 1412, 9855, 2775, 12312, 1092, 630, 272, 560, 544, 26404, 264, 262, 30310, 281, 2142, 29348, 267, 32400, 11709, 2433, 18004, 281, 476, 1428, 270, 1626, 5412, 476, 10082, 271, 2073, 12844, 333, 667, 1221, 281, 476, 2918, 4728, 476, 9264, 278, 2073, 21499, 634, 30310, 281, 2290, 540, 519, 6574, 269, 9855, 2775, 12312, 1092, 568, 2142, 29348, 779, 1034, 2442, 5067, 1092, 1547, 2142, 29348, 6131, 519, 4062, 547, 1010, 2875, 609, 7247, 646, 8593, 538, 2648, 269, 11872, 543, 4282, 1344, 593, 2142, 29348, 781, 9855, 2775, 12312, 1092, 4586, 17273, 2813, 5181, 476, 5400, 267, 476, 1001, 274, 267, 476, 736, 281, 2767, 0, 301, 12396, 585, 30488, 454, 1432, 568, 834, 301, 12396, 257, 888, 2690, 513, 2407, 1532, 31500, 7778, 1413, 1934, 281, 3097, 301, 12396, 6763, 585, 834, 15187, 1740, 11711, 3590, 2668, 898, 568, 1031, 547, 4410, 513, 6119, 2448, 593, 513, 6552, 3684, 547, 1577, 621, 1413, 899, 513, 2199, 15682, 269, 589, 2442, 834, 338, 15471, 528, 257, 568, 834, 328, 306, 5425, 296, 257, 630, 527, 568, 1175, 513, 24288, 538, 519, 2495, 540, 834, 25236, 532, 513, 6119, 2448, 607, 952, 621, 568, 2199, 257, 1916, 3080, 666, 10646, 1063, 17830, 1759, 715, 12396, 543, 3593, 1633, 715, 12396, 563, 7212, 3593, 1633, 715, 12396, 1223, 581, 607, 1434, 607, 17830, 1759, 715, 12396, 630, 16673, 2041, 4849, 540, 930, 21159, 540, 2773, 1070, 972, 568, 4867, 12971, 2407, 1532, 31500, 715, 12396, 6388, 585, 3593, 1633, 630, 520, 2547, 594, 917, 9039, 1040, 2368, 723, 519, 2721, 3724, 547, 711, 1489, 6119, 8273, 982, 476, 275, 16412, 267, 1866, 798, 711, 1489, 930, 824, 3681, 267, 3092, 10756, 2690, 17830, 1759, 715, 12396, 596, 991, 513, 17830, 609, 715, 12396, 1628, 883, 519, 17830, 630, 32355, 6378, 610, 607, 513, 4452, 762, 9074, 1040, 1411, 666, 10691, 2196, 17830, 1759, 715, 12396, 609, 513, 17830, 267, 799, 729, 711, 13087, 585, 715, 12396, 1282, 28094, 942, 563, 2252, 596, 723, 513, 17830, 609, 715, 12396, 1628, 883, 267, 596, 616, 10691, 4712, 547, 979, 269, 1411, 849, 991, 930, 3593, 1633, 4291, 583, 1963, 585, 513, 2324, 14764, 563, 1607, 3593, 1633, 4291, 583, 1963, 616, 1572, 519, 834, 333, 12028, 268, 583, 2812, 257, 533, 752, 564, 543, 2874, 540, 513, 19619, 540, 3156, 630, 821, 942, 1572, 264, 543, 13005, 655, 976, 630, 3724, 3033, 4247, 1040, 769, 1840, 547, 713, 533, 752, 564, 596, 849, 991, 513, 23492, 7097, 799, 6238, 519, 13005, 655, 976, 609, 2463, 547, 519, 1318, 1931, 563, 8310, 855, 711, 2547, 267, 596, 723, 547, 798, 930, 12122, 547, 1450, 1569, 547, 519, 2199, 6119, 2448, 3842, 715, 12396, 563, 1432, 12851, 547, 834, 333, 12028, 268, 583, 2812, 257, 543, 1018, 568, 621, 1031, 585, 888, 1607, 4291, 17014, 568, 711, 2731, 851, 540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 678, 476, 273, 267, 834, 476, 272, 256, 834, 256, 834, 476, 273, 267, 1990, 476, 272, 256, 1990, 256, 1990, 476, 273, 607, 3254, 538, 7612, 1677, 3489, 519, 20425, 11282, 1106, 540, 513, 17784, 7533, 267, 15475, 602, 1627, 568, 513, 4396, 3148, 4171, 16879, 681, 5196, 519, 27976, 13807, 2033, 666, 581, 4330, 538, 8701, 10974, 269, 2334, 568, 267, 543, 1627, 815, 2715, 263, 343, 267, 586, 267, 1990, 2567, 630, 343, 267, 586, 264, 568, 538, 681, 267, 554, 476, 272, 630, 343, 267, 586, 25631, 1990, 256, 554, 476, 273, 630, 343, 267, 586, 14587, 681, 815, 2715, 263, 337, 267, 834, 2567, 834, 476, 272, 256, 834, 256, 834, 476, 273, 267, 575, 476, 272, 630, 8442, 256, 678, 256, 575, 476, 273, 630, 8442, 20467, 7612, 692, 2537, 10222, 921, 6715, 23552, 538, 595, 2643, 785, 3740, 18509, 7149, 1403, 535, 568, 513, 6024, 1599, 593, 519, 4396, 1627, 267, 596, 666, 2328, 519, 17784, 7533, 540, 535, 936, 1627, 607, 1141, 519, 5595, 7533, 936, 681, 568, 11117, 538, 8701, 10974, 269, 2334, 568, 267, 681, 568, 513, 7077, 3148, 602, 568, 2901, 678, 1606, 574, 921, 610, 29038, 13678, 921, 269, 1403, 681, 568, 678, 1606, 574, 921, 267, 519, 12055, 730, 1106, 540, 519, 17784, 7533, 538, 20425, 1106, 568, 10222, 921, 6715, 23552, 538, 595, 2643, 785, 3740, 18509, 7149, 1677, 14650, 513, 1880, 1931, 540, 5610, 267, 621, 2337, 547, 2070, 519, 12055, 730, 7533, 538, 2474, 540, 1614, 27789, 20517, 1142, 4946, 1776, 10155, 547, 519, 4396, 269, 1280, 3236, 267, 538, 519, 1931, 1743, 546, 257, 546, 345, 267, 519, 1101, 5610, 4386, 538, 519, 678, 1673, 3925, 607, 513, 1448, 4418, 10134, 856, 513, 18422, 269, 3973, 267, 607, 834, 4679, 267, 519, 1899, 4418, 10134, 856, 513, 5823, 10222, 921, 6715, 23552, 538, 595, 2643, 785, 3740, 18509, 7149, 7053, 267, 607, 1990, 4679, 267, 519, 5823, 4418, 10134, 856, 513, 4396, 530, 8354, 267, 607, 3254, 538, 7612, 7151, 476, 272, 15531, 11730, 538, 595, 2643, 785, 3740, 18509, 7149, 4855, 519, 4320, 540, 519, 4396, 3148, 1627, 2759, 689, 519, 12106, 1535, 476, 273, 1341, 586, 476, 273, 1341, 1990, 476, 273, 815, 476, 275, 676, 519, 12718, 678, 815, 476, 273, 5609, 14307, 607, 3254, 538, 7612, 7612, 7612, 7151, 476, 272, 8827, 5221, 1535, 476, 273, 1341, 586, 476, 273, 1341, 1990, 476, 273, 815, 678, 476, 273, 1341, 1990, 476, 273, 815, 476, 275, 267, 519, 23451, 593, 1990, 616, 7151, 476, 272, 8827, 2913, 681, 581, 519, 9764, 16879, 540, 519, 4396, 5196, 519, 678, 27324, 30350, 269, 3973, 519, 23451, 593, 681, 616, 476, 271, 256, 678, 256, 476, 273, 5609, 834, 543, 476, 271, 256, 834, 256, 1948, 269, 1924, 267, 519, 4320, 540, 1627, 568, 692, 2190, 10222, 921, 6715, 23552, 538, 1975, 17202, 18509, 7149, 10222, 921, 6715, 23552, 538, 1975, 17202, 18509, 7149, 476, 16928, 634, 14328, 7503, 4834, 585, 20085, 10974, 616, 1535, 815, 256, 5609, 4939, 5430, 834, 586, 815, 256, 5609, 4939, 5609, 834, 1990, 815, 256, 5430, 4939, 269, 769, 713, 11282, 1062, 267, 519, 14724, 3148, 568, 513, 20085, 3625, 5462, 676, 2715, 263, 29755, 14307, 4939, 2567, 256, 476, 272, 30314, 476, 273, 267, 834, 476, 272, 256, 834, 256, 834, 476, 273, 267, 4939, 476, 272, 256, 4939, 256, 4939, 476, 273, 7684, 1141, 256, 476, 272, 834, 476, 271, 267, 834, 476, 273, 834, 476, 272, 256, 476, 273, 258, 267, 543, 476, 271, 256, 4939, 476, 272, 256, 4939, 476, 273, 256, 1948, 267, 607, 3254, 538, 7612, 7612, 10222, 921, 6715, 23552, 538, 1975, 17202, 18509, 7149, 1403, 630, 29755, 14307, 4939, 264, 568, 513, 1448, 538, 519, 9703, 540, 971, 513, 3625, 267, 1287, 519, 4320, 540, 519, 3625, 666, 581, 4114, 13846, 676, 1948, 309, 8096, 256, 476, 273, 5609, 4939, 1948, 256, 1948, 260, 1948, 257, 4635, 519, 8912, 1184, 5473, 606, 6418, 15652, 267, 14805, 566, 267, 543, 513, 3970, 267, 596, 666, 1020, 519, 1739, 4528, 540, 513, 17784, 7533, 538, 20085, 10974, 585, 513, 6024, 1599, 535, 3989, 593, 519, 4396, 3148, 1627, 269, 10222, 921, 6715, 23552, 538, 1975, 17202, 18509, 7149, 10222, 921, 29398, 538, 20085, 10974, 616, 11117, 609, 12055, 730, 29398, 269, 1411, 666, 14650, 513, 1880, 1931, 540, 5610, 676, 13156, 519, 12055, 730, 7533, 538, 2474, 540, 1614, 27789, 20517, 1142, 4946, 1776, 10155, 547, 519, 4396, 10222, 921, 6715, 23552, 538, 1975, 17202, 18509, 7149, 1280, 3236, 267, 519, 12055, 730, 7533, 568, 11609, 538, 7612, 7151, 476, 275, 15531, 11730, 538, 1975, 17202, 18509, 7149, 4855, 519, 4320, 540, 519, 4396, 3148, 1627, 22112, 2630, 676, 519, 5580, 562, 1952, 324, 540, 519, 13409, 1990, 476, 273, 815, 1535, 476, 273, 1341, 586, 476, 273, 543, 1657, 676, 519, 12106, 1535, 476, 273, 1341, 586, 476, 273, 1341, 1990, 476, 273, 815, 476, 280, 267, 607, 3254, 538, 7612, 7612, 7612, 476, 1691, 269, 3583, 692, 1839, 7151, 476, 275, 8827, 769, 20085, 10974, 267, 519, 3830, 540, 519, 12106, 568, 256, 476, 273, 815, 1535, 476, 273, 1341, 586, 476, 273, 1341, 1990, 476, 273, 815, 476, 280, 5015, 267, 519, 12106, 543, 13409, 12969, 950, 630, 343, 476, 273, 1341, 586, 476, 273, 3738, 1341, 1990, 476, 273, 815, 630, 345, 476, 273, 3738, 1341, 1990, 476, 273, 815, 476, 280, 543, 267, 1317, 1990, 815, 256, 5430, 4939, 267, 621, 5205, 602, 7151, 476, 275, 8827, 9182, 267, 596, 666, 946, 519, 5610, 1931, 546, 256, 546, 260, 546, 2580, 1141, 476, 271, 26008, 476, 274, 267, 476, 271, 256, 4939, 256, 1948, 270, 275, 267, 543, 476, 271, 256, 834, 256, 476, 273, 258, 269, 634, 4320, 568, 7827, 540, 25159, 281, 15243, 2103, 20505, 256, 13760, 519, 1523, 540, 513, 15243, 1014, 23511, 2422, 513, 15243, 1014, 547, 1689, 4632, 538, 513, 5595, 7533, 269, 14645, 595, 1263, 720, 4804, 269, 2353, 2924, 11603, 15243, 2103, 1280, 519, 2582, 7533, 15243, 2103, 596, 666, 1689, 4632, 676, 15603, 1535, 815, 575, 26086, 1070, 865, 602, 15848, 815, 575, 15478, 263, 340, 264, 5918, 267, 543, 3489, 1141, 513, 815, 575, 6262, 264, 543, 536, 815, 575, 5560, 1040, 476, 14983, 634, 1689, 540, 4632, 1184, 12857, 606, 3606, 3815, 575, 15478, 263, 340, 264, 883, 519, 2076, 8681, 269, 476, 5611, 692, 2918, 15243, 2103, 901, 849, 4386, 538, 519, 2013, 540, 5595, 29398, 15243, 2103, 769, 10747, 519, 15243, 1014, 267, 621, 568, 10375, 547, 946, 519, 1739, 24572, 10035, 269, 1141, 519, 1689, 540, 4632, 1535, 815, 575, 26086, 267, 642, 264, 543, 586, 815, 554, 26086, 267, 642, 264, 12857, 513, 3815, 1572, 519, 15243, 1014, 540, 1535, 543, 586, 609, 2463, 547, 579, 543, 642, 7151, 476, 272, 634, 15243, 1014, 585, 25351, 9771, 3562, 6261, 6897, 23586, 4855, 519, 15243, 1014, 585, 519, 1689, 540, 4632, 3989, 676, 1535, 815, 678, 5430, 834, 543, 586, 815, 678, 5609, 834, 269, 8827, 281, 3245, 519, 4214, 540, 519, 15243, 1014, 267, 596, 3489, 15243, 2103, 7151, 476, 272, 2798, 856, 602, 519, 1689, 540, 4632, 689, 14328, 547, 8701, 10974, 585, 513, 5595, 7533, 666, 581, 2854, 607, 476, 14631, 1141, 590, 568, 519, 3148, 538, 519, 678, 27324, 30350, 602, 14687, 547, 519, 3148, 681, 538, 519, 27976, 13807, 2033, 267, 607, 3254, 538, 7612, 7612, 15243, 2103, 769, 2489, 267, 513, 1689, 540, 4632, 568, 2016, 676, 513, 835, 3562, 14633, 7004, 570, 689, 513, 3148, 590, 538, 519, 579, 341, 13807, 2033, 547, 513, 3148, 681, 538, 519, 27976, 13807, 2033, 267, 547, 581, 2016, 676, 570, 26086, 267, 642, 264, 815, 630, 343, 267, 586, 264, 815, 630, 326, 26086, 267, 642, 1070, 554, 26086, 267, 642, 4297, 1141, 575, 543, 554, 723, 6024, 1101, 9864, 16755, 538, 519, 3148, 590, 269, 8074, 602, 519, 1448, 630, 340, 267, 642, 264, 6013, 538, 590, 543, 519, 1448, 630, 343, 267, 586, 264, 6013, 538, 681, 269, 7827, 540, 25159, 585, 17677, 6715, 23552, 692, 2767, 7827, 540, 25159, 585, 17677, 6715, 23552, 7151, 476, 274, 4635, 513, 7827, 540, 25159, 547, 22217, 1518, 513, 16323, 2913, 681, 581, 519, 3148, 22112, 676, 519, 3515, 1535, 476, 273, 344, 815, 476, 271, 267, 1535, 476, 273, 344, 815, 476, 275, 267, 1535, 1341, 586, 815, 476, 275, 267, 543, 1535, 1341, 586, 815, 476, 272, 607, 3254, 538, 7612, 21414, 519, 5595, 7533, 7612, 7151, 476, 274, 8827, 1411, 666, 946, 519, 1739, 1689, 540, 4632, 269, 543, 634, 9864, 16755, 540, 1535, 543, 586, 616, 7151, 476, 274, 8827, 799, 10522, 602, 519, 15243, 1014, 568, 1924, 267, 676, 14497, 476, 1691, 269, 276, 267, 596, 3489, 7151, 476, 274, 8827, 476, 14065, 692, 2162, 10298, 547, 14581, 476, 1015, 692, 22069, 1903, 547, 14581, 476, 272, 8791, 476, 278, 1421, 3635, 1948, 476, 272, 630, 321, 28504, 2567, 630, 321, 264, 30770, 519, 1871, 540, 681, 535, 546, 341, 267, 1141, 535, 3287, 267, 586, 264, 815, 586, 24474, 543, 681, 815, 1496, 272, 267, 476, 274, 316, 1496, 267, 476, 275, 4940, 8827, 281, 4595, 535, 568, 6024, 936, 681, 267, 535, 568, 2076, 571, 1076, 936, 681, 269, 2913, 1535, 692, 2162, 476, 1556, 269, 272, 269, 20505, 269, 3281, 9426, 4813, 540, 513, 21070, 269, 3281, 9426, 4813, 540, 513, 21070, 269, 3281, 9426, 4813, 540, 513, 21070, 269, 966, 26662, 543, 519, 16387, 540, 6611, 692, 1556, 966, 26662, 543, 519, 16387, 540, 6611, 476, 1556, 269, 272, 966, 26662, 538, 519, 1773, 2033, 14645, 595, 1263, 720, 4804, 269, 2353, 2924, 11603, 269, 14645, 595, 1263, 720, 4804, 269, 2353, 2924, 11603, 269, 476, 273, 20505, 256, 3503, 519, 5057, 1106, 540, 692, 2162, 631, 8085, 2316, 303, 4041, 21850, 9680, 305, 28940, 269, 554, 476, 273, 630, 344, 264, 616, 6024, 3252, 593, 1496, 322, 267, 546, 316, 543, 1577, 535, 3287, 267, 586, 264, 581, 513, 1599, 3989, 593, 681, 269, 3973, 692, 300, 8085, 2316, 303, 4041, 21850, 9680, 28940, 476, 272, 269, 522, 12657, 6715, 23552, 2913, 581, 513, 2241, 3148, 3989, 676, 513, 1535, 536, 543, 575, 476, 272, 630, 343, 264, 586, 575, 476, 273, 630, 343, 1070, 1141, 575, 476, 272, 630, 343, 264, 543, 575, 476, 273, 630, 343, 264, 616, 6024, 3252, 593, 1496, 320, 267, 536, 316, 543, 1577, 535, 3287, 267, 586, 264, 581, 513, 1599, 3989, 593, 780, 2162, 901, 1599, 568, 21136, 609, 2463, 547, 519, 586, 14289, 267, 865, 594, 786, 1577, 910, 1315, 273, 1315, 273, 543, 9062, 519, 1858, 676, 476, 273, 780, 19860, 9680, 6938, 3582, 5442, 623, 5357, 2752, 2910, 16704, 2562, 2969, 2464, 2290, 540, 519, 1292, 4128, 1946, 649, 1353, 8701, 10974, 568, 547, 948, 721, 547, 1265, 519, 1858, 540, 513, 3148, 602, 3112, 3362, 581, 7471, 538, 2474, 540, 1535, 269, 769, 713, 1305, 540, 4967, 10484, 2162, 476, 274, 269, 17677, 6715, 23552, 476, 274, 288, 269, 17677, 6715, 23552, 538, 25351, 9771, 18509, 7149, 692, 274, 269, 17677, 6715, 23552, 476, 274, 288, 269, 17677, 6715, 23552, 538, 28341, 9771, 18509, 7149, 476, 274, 288, 268, 272, 21414, 1142, 540, 519, 1739, 12055, 730, 29398, 281, 524, 264, 476, 273, 476, 272, 476, 272, 476, 272, 1535, 476, 273, 630, 277, 343, 476, 273, 1341, 273, 344, 264, 11276, 11459, 536, 264, 1535, 476, 273, 343, 476, 273, 586, 11276, 11459, 546, 264, 12631, 270, 273, 12631, 476, 272, 579, 630, 639, 842, 266, 339, 6523, 340, 264, 19049, 706, 579, 273, 692, 2162, 476, 1428, 269, 272, 269, 21070, 5811, 269, 21070, 29425, 269, 20505, 269, 21070, 29425, 269, 21070, 29425, 269, 21070, 29425, 269, 8206, 13760, 519, 1523, 540, 513, 6152, 2361, 780, 1428, 21070, 5811, 476, 1428, 269, 272, 21070, 29425, 14645, 595, 1263, 720, 4804, 269, 2353, 2924, 11603, 269, 14645, 595, 1263, 720, 4804, 269, 2353, 2924, 11603, 269, 20505, 256, 13760, 519, 1523, 540, 513, 6152, 2361, 23511, 14419, 692, 2162, 21602, 476, 272, 2433, 589, 9197, 1662, 6092, 538, 966, 26662, 17976, 476, 273, 2433, 3213, 15453, 7010, 692, 9556, 2544, 476, 272, 2433, 589, 9197, 1662, 6092, 538, 966, 26662, 17976, 476, 273, 2433, 3213 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 513, 1804, 7274, 540, 18205, 5370, 563, 763, 1826, 3135, 693, 29861, 523, 330, 537, 267, 4092, 538, 12872, 262, 534, 267, 729, 14155, 730, 538, 476, 4198, 280, 267, 476, 3192, 275, 543, 476, 3192, 279, 269, 8307, 519, 1647, 4494, 693, 29861, 523, 330, 537, 568, 2404, 609, 519, 29861, 523, 330, 537, 2528, 267, 607, 519, 9998, 4494, 14687, 547, 519, 2142, 1460, 514, 2528, 543, 519, 5767, 4494, 14687, 547, 519, 2038, 1744, 663, 784, 14583, 540, 519, 7043, 3333, 534, 2528, 282, 519, 29861, 523, 330, 537, 2170, 539, 14916, 609, 519, 18708, 3333, 7776, 2528, 269, 834, 2690, 1079, 543, 513, 3368, 27453, 540, 922, 6228, 519, 29861, 523, 330, 537, 729, 267, 2705, 267, 538, 513, 6422, 20049, 609, 519, 18708, 3333, 7776, 9177, 267, 538, 799, 1184, 540, 5872, 621, 3006, 1185, 519, 1291, 1909, 267, 16113, 538, 10451, 7043, 3333, 534, 269, 18623, 723, 7074, 10486, 1063, 519, 29861, 523, 330, 537, 543, 519, 9149, 836, 345, 16852, 2528, 607, 1134, 607, 519, 1644, 4529, 540, 519, 962, 656, 2763, 5211, 16935, 269, 4340, 547, 930, 5640, 267, 519, 29861, 523, 330, 537, 2528, 949, 723, 513, 3095, 609, 513, 840, 5025, 755, 1258, 14198, 1893, 269, 4033, 3173, 4063, 513, 16726, 1063, 29861, 523, 330, 537, 11317, 543, 2413, 3243, 1258, 14198, 1004, 538, 2686, 2853, 971, 607, 5694, 1285, 13955, 543, 6189, 282, 519, 2168, 16726, 540, 519, 808, 11672, 340, 1004, 547, 519, 29861, 523, 330, 537, 6920, 602, 519, 29861, 523, 330, 537, 1522, 723, 26731, 689, 519, 808, 11672, 340, 267, 1739, 513, 3500, 9194, 2059, 519, 1647, 543, 2539, 10301, 540, 519, 13535, 2967, 5757, 543, 519, 17713, 327, 14241, 14860, 563, 8448, 5640, 723, 1179, 4327, 602, 519, 29861, 523, 330, 537, 22132, 538, 7404, 4525, 547, 519, 5045, 269, 634, 29861, 523, 330, 537, 2528, 1784, 1742, 689, 519, 2142, 1460, 514, 2528, 267, 855, 568, 6766, 676, 519, 5087, 1189, 9750, 7043, 336, 328, 15120, 16852, 836, 2528, 4092, 1063, 519, 18708, 339, 2763, 543, 13535, 2967, 8933, 282, 519, 1004, 540, 29861, 523, 330, 537, 17820, 513, 16429, 16599, 5959, 4806, 269, 634, 29861, 523, 330, 537, 941, 9308, 4744, 25630, 547, 519, 683, 18070, 11317, 540, 12920, 644, 340, 267, 8828, 3624, 543, 15990, 282, 519, 2165, 834, 27815, 3256, 257, 4667, 547, 581, 3617, 538, 4766, 519, 2797, 3919, 540, 519, 29861, 523, 330, 537, 269, 589, 8789, 10252, 1895, 4371, 32022, 936, 29861, 523, 330, 537, 8498, 4609, 267, 1498, 1379, 729, 1034, 28955, 998, 3909, 6392, 2864, 982, 28170, 542, 269, 9521, 519, 2142, 1460, 514, 2528, 689, 799, 789, 13956, 267, 519, 1004, 540, 519, 29861, 523, 330, 537, 2528, 941, 7074, 585, 1373, 7722, 538, 10795, 4655, 269, 18623, 14353, 602, 789, 949, 723, 7722, 538, 986, 1749, 585, 2244, 267, 7031, 543, 31449, 5370, 282, 519, 3636, 543, 6632, 2916, 540, 519, 29861, 523, 330, 537, 1858, 729, 5078, 585, 513, 3099, 540, 7031, 267, 1498, 789, 3484, 539, 2113, 2280, 693, 1034, 4609, 563, 19853, 2504, 540, 2113, 2280, 729, 3833, 3811, 543, 4859, 11149, 723, 1044, 1336, 602, 1223, 723, 8659, 909, 547, 476, 1220, 271, 4846, 540, 2113, 2280, 267, 2899, 17883, 568, 20039, 585, 267, 723, 1044, 1336, 269, 1280, 930, 540, 519, 7013, 29861, 523, 330, 537, 4609, 267, 7573, 729, 513, 811, 1271, 7693, 2705, 1282, 519, 3735, 29861, 523, 330, 537, 1974, 269, 5811, 2944, 593, 1480, 3788, 693, 29861, 523, 330, 537, 4609, 538, 7013, 1744, 663, 784, 7000, 602, 519, 2732, 540, 5580, 11665, 29861, 523, 330, 537, 2043, 15538, 540, 7573, 267, 1247, 8723, 2043, 17696, 2113, 2280, 282, 519, 29861, 523, 330, 537, 30042, 9269, 267, 5243, 543, 12418, 267, 855, 1100, 2963, 540, 7504, 29143, 1709, 729, 1336, 269, 28522, 3788, 616, 676, 2484, 1034, 10731, 267, 8051, 585, 827, 476, 5952, 260, 540, 519, 2698, 267, 616, 2219, 547, 581, 519, 1034, 1271, 30042, 3662, 269, 28522, 3788, 941, 1336, 538, 29861, 523, 330, 537, 3276, 10118, 10223, 741, 2956, 269, 1530, 2378, 797, 729, 606, 1271, 20013, 540, 519, 29861, 523, 330, 537, 2732, 269, 12551, 543, 1585, 32729, 544, 2432, 723, 1044, 1336, 538, 519, 2038, 5712, 10834, 602, 789, 941, 1271, 1426, 2959, 269, 4014, 891, 25985, 2968, 1447, 7928, 538, 519, 5933, 267, 16872, 7283, 606, 1271, 851, 540, 519, 2732, 563, 291, 1177, 523, 330, 537, 781, 11317, 941, 519, 9998, 9439, 540, 1726, 3966, 566, 538, 22300, 3624, 269, 589, 15693, 540, 513, 29861, 523, 330, 537, 812, 6580, 547, 476, 4968, 271, 7460, 729, 1336, 609, 4049, 2212, 7063, 799, 7902, 547, 723, 1044, 1121, 539, 1221, 676, 713, 18642, 6391, 269, 5903, 540, 32665, 4529, 540, 3624, 7043, 3333, 534, 2528, 9400, 808, 269, 21942, 1107, 713, 8225, 9125, 6048, 814, 3370, 14916, 593, 29861, 523, 330, 537, 3276, 10118, 543, 1514, 4567, 269, 8422, 590, 30371, 793, 338, 543, 12866, 2506, 30752, 18708, 3333, 7776, 2528, 30129, 267, 634, 19725, 540, 4457, 31511, 281, 1323, 16329, 1670, 21887, 267, 9768, 476, 271, 268, 4968, 268, 6021, 274, 11025, 268, 280, 20568, 267, 9149, 282, 519, 4457, 32665, 281, 3004, 915, 1559, 547, 7216, 2276, 267, 9768, 476, 271, 268, 276, 2641, 268, 279, 1556, 10019, 268, 279, 7201, 24824, 267, 14732, 623, 269, 14958, 13870, 543, 4317, 7827, 538, 8832, 3624, 267, 9768, 476, 271, 268, 27420, 268, 5379, 278, 10170, 268, 273, 0, 292, 6141, 4982, 710, 661, 1338, 13921, 4345, 454, 2304, 11137, 540, 519, 8376, 454, 14276, 2657, 476, 6200, 454, 9802, 476, 1015, 267, 476, 1001, 274, 454, 1103, 2487, 1296, 267, 8109, 4982, 710, 661, 1338, 13921, 4345, 814, 1500, 3084, 24657, 538, 519, 2923, 269, 4014, 621, 568, 4686, 267, 519, 2068, 814, 14042, 2360, 267, 2523, 519, 29363, 12792, 1106, 540, 519, 2068, 269, 634, 3483, 540, 713, 3332, 568, 547, 1683, 606, 7650, 540, 8109, 4982, 710, 661, 1338, 13921, 4345, 24295, 269, 3778, 267, 10923, 1239, 267, 27496, 267, 1696, 5735, 267, 2589, 267, 5868, 267, 2126, 267, 9019, 3928, 543, 6604, 786, 581, 5941, 6606, 563, 14532, 543, 2983, 7240, 4578, 454, 6097, 519, 15544, 585, 8376, 6513, 267, 519, 1101, 1480, 2013, 540, 8109, 4982, 710, 661, 1338, 13921, 4345, 3267, 1613, 1647, 540, 519, 3561, 2483, 292, 6141, 4982, 710, 661, 1338, 13921, 4345, 24295, 630, 7417, 14110, 264, 568, 513, 4759, 540, 519, 12593, 1325, 874, 8785, 267, 1920, 570, 690, 822, 597, 13160, 269, 634, 3644, 568, 606, 1488, 321, 21552, 269, 1323, 818, 321, 21552, 568, 513, 1826, 540, 3644, 602, 568, 10299, 998, 606, 818, 6605, 617, 6152, 269, 769, 713, 2013, 267, 519, 6152, 568, 519, 18151, 269, 589, 6152, 666, 581, 4376, 602, 18993, 1080, 519, 3644, 547, 3425, 269, 634, 3644, 5536, 616, 20085, 543, 723, 513, 8006, 540, 476, 2568, 268, 4792, 6289, 18852, 269, 661, 7417, 309, 568, 21049, 538, 3345, 3013, 543, 519, 12144, 543, 568, 519, 2014, 540, 1034, 1480, 2068, 2665, 269, 769, 519, 2136, 2276, 267, 25939, 540, 476, 277, 2665, 540, 661, 7417, 309, 616, 4080, 1169, 1032, 269, 10021, 3320, 267, 1004, 945, 4497, 538, 9205, 2238, 267, 2282, 7783, 2127, 616, 693, 513, 2362, 1981, 269, 15380, 267, 1034, 540, 519, 2665, 2408, 1063, 519, 3275, 540, 2904, 543, 5239, 543, 1472, 32761, 3338, 543, 9381, 2127, 269, 901, 568, 1946, 519, 18151, 568, 519, 1152, 6152, 585, 519, 1480, 1106, 540, 519, 2068, 269, 27418, 616, 2356, 4080, 538, 8419, 267, 11908, 267, 12590, 543, 1715, 14948, 269, 15706, 1063, 519, 2085, 540, 476, 1428, 543, 476, 2004, 3100, 547, 581, 693, 519, 5207, 1981, 540, 4742, 7783, 609, 661, 7417, 309, 630, 22068, 591, 2006, 267, 533, 476, 4198, 994, 7417, 14110, 814, 606, 29164, 1974, 8151, 689, 476, 275, 547, 476, 1015, 2395, 269, 901, 1797, 602, 12341, 538, 1063, 2185, 543, 4557, 2395, 689, 519, 3355, 11116, 267, 513, 1268, 786, 2253, 4743, 2192, 269, 634, 3968, 666, 581, 2901, 11528, 610, 29363, 12792, 267, 2495, 621, 5540, 519, 1560, 610, 3123, 11926, 538, 519, 2634, 269, 3590, 545, 3968, 814, 513, 4028, 12614, 540, 2770, 6438, 2589, 543, 568, 28955, 676, 669, 1571, 267, 8611, 267, 13110, 1145, 267, 31191, 543, 24074, 269, 898, 2356, 16569, 1472, 835, 547, 1079, 4374, 269, 6520, 568, 606, 1271, 3815, 593, 875, 3533, 519, 2589, 2408, 267, 968, 1103, 12256, 267, 519, 29363, 12792, 1106, 568, 6353, 676, 23589, 12614, 282, 538, 4587, 1453, 543, 4079, 267, 29363, 4345, 568, 28955, 1310, 513, 1906, 2395, 540, 11528, 4576, 269, 20050, 543, 2589, 585, 2550, 945, 723, 519, 2068, 602, 814, 3262, 547, 519, 2634, 616, 513, 1164, 8611, 8151, 689, 476, 9818, 4113, 268, 11793, 13790, 267, 15677, 267, 29338, 267, 1964, 16531, 267, 546, 4900, 1465, 267, 30604, 267, 13481, 267, 13165, 267, 19826, 2670, 267, 5996, 6160, 687, 267, 543, 635, 320, 630, 24922, 476, 1001, 274, 1040, 892, 14904, 945, 723, 519, 29363, 12792, 543, 7639, 666, 1995, 1360, 4049, 2589, 602, 666, 2063, 585, 513, 1906, 1296, 269, 634, 15509, 11329, 856, 602, 912, 28236, 616, 2451, 609, 771, 29058, 543, 11636, 2790, 543, 2168, 3524, 601, 2801, 267, 799, 666, 2039, 689, 8766, 2634, 14524, 547, 4049, 7214, 15717, 267, 7209, 4713, 267, 17465, 267, 26900, 267, 543, 22623, 658, 8229, 14524, 269, 3509, 2550, 609, 4049, 3524, 601, 2801, 5884, 1369, 513, 1906, 1296, 1862, 0, 28926, 839, 3239, 19922, 454, 289, 8681, 1007, 281, 589, 1007, 267, 796, 1348, 267, 30694, 1433, 538, 3501, 2783, 609, 1100, 7508, 610, 8697, 3817, 269, 6423, 519, 3267, 3367, 811, 12671, 519, 2783, 454, 347, 26397, 5729, 10573, 1960, 272, 1475, 17138, 10573, 22826, 9119, 547, 8899, 2311, 1555, 619, 267, 476, 279, 268, 1321, 2008, 347, 262, 1607, 568, 513, 2706, 267, 4052, 1433, 593, 513, 20495, 1858, 540, 6161, 262, 910, 8648, 4065, 26929, 901, 1433, 585, 2875, 14482, 18291, 543, 3610, 568, 7255, 609, 519, 2042, 540, 3450, 3119, 543, 1647, 1153, 1453, 4171, 26556, 538, 6128, 19776, 4652, 822, 2227, 29087, 609, 602, 540, 741, 29629, 2456, 269, 14301, 593, 1010, 4928, 2861, 1382, 609, 1970, 27408, 8877, 1453, 538, 519, 2085, 2039, 540, 5216, 547, 476, 1321, 1296, 1296, 267, 519, 2278, 11828, 519, 2188, 2404, 609, 741, 1970, 26556, 543, 23083, 513, 4640, 585, 3450, 873, 8198, 347, 21812, 1475, 306, 720, 23549, 13456, 2008, 347, 324, 29074, 8605, 9517, 630, 324, 303, 2839, 10534, 280, 8287, 3422, 736, 2008, 19064, 6055, 6206, 17972, 2008, 347, 21206, 8605, 17972, 2008, 347, 20278, 540, 22910, 1475, 26780, 2008, 347, 32098, 8074, 1475, 272, 267, 4563, 1299, 6519, 16503, 5928, 2008, 347, 26705, 19672, 1475, 307, 8565, 28980, 630, 4785, 10245, 347, 12041, 22335, 1475, 291, 699, 330, 15917, 6674, 568, 606, 2069, 22639, 543, 5856, 538, 519, 2361, 540, 6128, 2069, 269, 1261, 568, 513, 18947, 29533, 538, 4065, 693, 519, 2160, 540, 5101, 4911, 20377, 267, 7439, 16049, 267, 1141, 646, 5249, 585, 936, 476, 1789, 1296, 538, 3119, 4116, 2866, 543, 538, 2069, 1382, 269, 1261, 568, 513, 2101, 2278, 538, 2069, 267, 609, 513, 1804, 1297, 540, 3370, 2835, 543, 11271, 538, 2835, 269, 3571, 1655, 5498, 29818, 9119, 4112, 7134, 585, 12729, 11334, 630, 306, 720, 264, 814, 1044, 519, 6205, 538, 519, 2361, 585, 1082, 1296, 267, 609, 513, 8772, 7160, 3370, 538, 476, 1001, 271, 269, 667, 699, 330, 781, 960, 568, 6353, 676, 513, 7029, 547, 2491, 6128, 538, 2241, 543, 3015, 2081, 543, 547, 5512, 519, 1641, 547, 581, 6026, 543, 19927, 609, 1620, 543, 6015, 269, 1261, 568, 9310, 267, 609, 1079, 6738, 5346, 20766, 543, 1614, 1178, 2738, 976, 269, 31072, 540, 6128, 267, 646, 568, 513, 5131, 5783, 9632, 267, 4249, 519, 25041, 564, 267, 543, 568, 13730, 827, 8106, 2575, 267, 25319, 267, 6972, 630, 638, 1157, 569, 264, 543, 15203, 630, 338, 869, 569, 1040, 667, 699, 330, 15917, 6674, 814, 513, 3896, 693, 281, 5291, 2517, 323, 699, 330, 3620, 599, 6674, 269, 24108, 4944, 582, 2593, 270, 2008, 347, 15575, 787, 540, 22910, 1475, 18197, 8003, 2008, 347, 20428, 1475, 19733, 1299, 9752, 2008, 347, 3412, 2745, 1475, 26469, 28331, 2006, 14539, 13456, 2008, 347, 14630 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2146, 1141, 789, 711, 1152, 5030, 855, 849, 5249, 1927, 269, 3962, 2875, 729, 6462, 538, 741, 1367, 543, 11684, 1646, 563, 763, 4948, 1272, 540, 519, 1453, 15538, 540, 2185, 3108, 540, 1153, 267, 2185, 3108, 960, 543, 1287, 513, 6209, 543, 2686, 16837, 269, 25120, 13873, 14150, 18796, 519, 1053, 1185, 4557, 1296, 540, 1153, 267, 1498, 621, 729, 1152, 5722, 1296, 3544, 519, 12733, 563, 1103, 519, 4098, 267, 621, 729, 519, 3610, 267, 945, 9709, 519, 2238, 267, 855, 4166, 25120, 13873, 14150, 1500, 621, 811, 2875, 21445, 269, 1261, 729, 513, 1390, 4412, 9426, 540, 13190, 540, 519, 7104, 269, 634, 19920, 538, 519, 12733, 941, 5258, 883, 13623, 609, 4756, 1053, 607, 3401, 269, 634, 8257, 3401, 941, 538, 519, 4971, 532, 14643, 543, 15548, 538, 782, 3664, 563, 763, 3804, 729, 711, 1152, 547, 3895, 519, 16542, 267, 519, 5363, 1145, 543, 519, 10892, 538, 519, 1620, 602, 596, 666, 3035, 811, 1927, 269, 898, 729, 849, 606, 2069, 538, 9111, 543, 3450, 3025, 547, 1291, 267, 10891, 543, 4383, 1107, 543, 547, 581, 29884, 563, 300, 752, 13873, 14150, 779, 2875, 24683, 7100, 543, 1010, 3747, 585, 2185, 3108, 540, 3232, 2090, 543, 4557, 1296, 540, 1153, 1055, 2105, 519, 4478, 2486, 269, 1306, 1134, 607, 1010, 1259, 540, 14237, 22632, 543, 10279, 267, 799, 729, 2808, 3540, 21644, 563, 15239, 11383, 267, 25120, 13873, 14150, 729, 711, 547, 581, 14284, 269, 1261, 16309, 538, 556, 16162, 4184, 1456, 5215, 540, 1453, 883, 3742, 267, 1514, 543, 6225, 4961, 269, 3689, 538, 519, 717, 1251, 6359, 2051, 3415, 543, 2663, 693, 519, 29152, 720, 667, 345, 1512, 345, 31582, 23267, 2155, 2317, 563, 300, 752, 13873, 14150, 666, 9684, 2278, 7665, 574, 717, 1251, 6359, 585, 4742, 1158, 556, 852, 333, 269, 968, 288, 4116, 538, 1272, 5608, 25120, 13873, 14150, 1572, 1864, 269, 898, 729, 717, 1251, 6359, 267, 945, 1101, 9102, 25120, 1066, 14150, 779, 968, 288, 16677, 698, 16479, 7313, 655, 6100, 589, 20100, 602, 849, 2968, 1271, 538, 20636, 27380, 538, 519, 476, 3192, 271, 338, 563, 300, 16800, 24321, 2969, 623, 3633, 8980, 8104, 13965, 8946, 2562, 298, 8991, 454, 305, 28907, 879, 5206, 27878, 332, 850, 267, 610, 2201, 4065, 267, 476, 7742, 1296, 3516, 1107, 855, 519, 24099, 3741, 4330, 538, 713, 3209, 1869, 723, 1454, 547, 2709, 2413, 7855, 563, 19733, 267, 3450, 543, 9015, 616, 15400, 1514, 9259, 543, 2175, 585, 9111, 267, 2687, 547, 28601, 1977, 14544, 3627, 1546, 28838, 269, 0, 10666, 901, 3848, 454, 7075, 1676, 31588, 1229, 2037, 4921, 910, 3848, 12834, 454, 1607, 3184, 786, 948, 596, 1451, 827, 519, 1114, 3334, 540, 15226, 19721, 5054, 543, 519, 2994, 596, 666, 946, 547, 1711, 971, 607, 1604, 538, 707, 4928, 269, 898, 568, 7768, 540, 513, 3126, 540, 3992, 7044, 6026, 676, 3318, 16929, 945, 1683, 4388, 267, 2238, 543, 2994, 585, 8716, 2875, 5872, 543, 9525, 269, 2422, 713, 3184, 547, 1451, 827, 912, 268, 634, 2609, 540, 15226, 19721, 5054, 454, 268, 9537, 540, 7227, 2053, 454, 268, 6828, 543, 1362, 4901, 2238, 543, 2093, 454, 268, 19019, 531, 21934, 13783, 454, 268, 13786, 4850, 540, 1053, 538, 519, 15226, 19721, 5054, 454, 268, 9906, 543, 4116, 16542, 454, 268, 14484, 633, 1565, 454, 268, 11957, 540, 2870, 513, 2922, 1565, 1604, 538, 519, 1362, 4055, 454, 1692, 898, 29452, 454, 268, 13661, 1734, 707, 1620, 281, 1452, 4245, 666, 2087, 707, 1620, 540, 519, 2609, 543, 2640, 540, 513, 15226, 19721, 1604, 538, 519, 4928, 563, 268, 6258, 1007, 3450, 2994, 281, 1306, 891, 4245, 2491, 519, 2609, 540, 513, 15226, 19721, 1604, 267, 789, 786, 849, 948, 596, 1451, 875, 547, 2936, 891, 2994, 538, 707, 1378, 4928, 563, 268, 4347, 1149, 5107, 281, 1452, 3992, 786, 849, 948, 596, 2689, 519, 9021, 543, 5107, 540, 1053, 538, 513, 15226, 19721, 1604, 865, 3025, 17358, 741, 851, 538, 2870, 513, 3811, 1565, 1604, 563, 3528, 519, 1439, 540, 713, 3184, 267, 596, 786, 581, 2111, 547, 912, 268, 5903, 519, 7907, 540, 513, 15226, 19721, 4928, 543, 1604, 454, 268, 25506, 519, 2956, 540, 519, 7996, 942, 1063, 3610, 262, 2055, 543, 1053, 262, 4267, 538, 1362, 4055, 5717, 454, 268, 9024, 5573, 1114, 2010, 540, 4928, 5717, 454, 268, 25956, 21934, 13783, 6044, 538, 519, 1362, 4055, 454, 268, 18430, 2875, 2238, 543, 7589, 538, 2875, 14482, 12329, 16542, 454, 268, 17546, 1053, 875, 547, 946, 8086, 543, 2079, 547, 2087, 741, 1620, 540, 3872, 1570, 454, 268, 5700, 875, 547, 1711, 513, 2922, 1604, 585, 782, 6267, 454, 272, 269, 12861, 513, 3231, 1676, 31588, 1229, 15858, 1299, 5113, 454, 19733, 568, 3001, 4724, 513, 811, 15226, 19721, 2203, 267, 1141, 2875, 2115, 543, 4690, 616, 1031, 547, 1020, 4245, 543, 2238, 269, 901, 3992, 7710, 875, 513, 15226, 19721, 2203, 568, 4294, 547, 519, 4928, 563, 273, 269, 4635, 27016, 5384, 538, 519, 15858, 454, 7628, 1362, 4901, 267, 568, 519, 23249, 1063, 519, 4116, 781, 2243, 543, 519, 2875, 781, 3210, 1271, 286, 898, 568, 267, 543, 519, 23249, 1063, 519, 2875, 781, 3210, 543, 519, 4116, 781, 5114, 568, 849, 1271, 269, 769, 713, 3992, 267, 649, 5581, 543, 1865, 1312, 2010, 540, 7227, 942, 543, 875, 789, 666, 581, 1031, 547, 11126, 1053, 262, 1565, 563, 274, 269, 4147, 17564, 281, 11242, 1299, 14313, 454, 1103, 713, 3992, 267, 649, 786, 1865, 519, 2956, 540, 1362, 5717, 269, 1284, 786, 849, 2689, 1896, 1114, 2010, 540, 1362, 4901, 2238, 602, 616, 3617, 585, 513, 3099, 540, 3446, 2157, 543, 5396, 563, 275, 269, 6828, 17564, 281, 5999, 267, 11762, 543, 11242, 454, 5970, 596, 2479, 1336, 621, 2352, 547, 1376, 513, 1895, 4901, 286, 2107, 2899, 596, 4312, 3323, 835, 267, 723, 596, 2479, 1336, 621, 2182, 547, 1832, 621, 4277, 286, 901, 3992, 2488, 930, 2596, 6724, 585, 1018, 2306, 513, 2298, 1895, 4901, 267, 1806, 540, 1434, 2055, 602, 3895, 1434, 6643, 267, 543, 2409, 602, 948, 1832, 519, 4901, 4277, 563, 276, 269, 2480, 3530, 13783, 9752, 11150, 454, 27645, 3006, 946, 513, 1505, 540, 6044, 1572, 1412, 13318, 2315, 531, 21934, 13783, 9538, 6258, 811, 827, 713, 543, 875, 621, 568, 1031, 269, 25826, 519, 1114, 3334, 540, 14292, 21934, 13783, 563, 277, 269, 9906, 32018, 538, 513, 3231, 1676, 31588, 1229, 5113, 454, 763, 1909, 540, 519, 2875, 538, 513, 15226, 19721, 1604, 568, 1114, 982, 538, 513, 6093, 4928, 269, 1548, 1281, 713, 1413, 899, 286, 901, 3992, 5654, 5702, 693, 513, 15226, 19721, 1604, 267, 6941, 519, 1053, 262, 1909, 267, 543, 2488, 1806, 563, 278, 269, 9906, 268, 30108, 12243, 1740, 538, 3231, 1676, 31588, 1229, 2037, 4921, 454, 763, 2078, 1063, 1053, 543, 3610, 568, 1271, 547, 519, 1967, 540, 15226, 19721, 5054, 269, 901, 3992, 11225, 519, 15226, 19721, 4928, 543, 3947, 1806, 540, 3871, 950, 2875, 14482, 12329, 16542, 2501, 883, 1404, 563, 279, 269, 14484, 633, 4804, 281, 9502, 267, 13910, 1299, 7869, 454, 1103, 713, 3992, 649, 3513, 2263, 519, 2495, 540, 14436, 1565, 267, 1865, 930, 540, 519, 5383, 543, 2994, 267, 543, 1831, 5432, 609, 930, 540, 519, 1034, 4583, 28466, 540, 14436, 1565, 563, 280, 269, 12861, 513, 15822, 4804, 5113, 538, 519, 15858, 454, 14399, 1451, 1655, 950, 789, 616, 538, 513, 2922, 4928, 1604, 267, 543, 3610, 543, 3885, 616, 18668, 950, 13460, 1745, 2922, 267, 1932, 269, 901, 3992, 786, 2285, 596, 930, 2093, 593, 875, 547, 1711, 513, 2922, 1604, 585, 782, 6267, 563, 1015, 269, 1215, 547, 3503, 513, 15858, 9291, 540, 7126, 454, 5331, 2348, 513, 4928, 2407, 540, 1053, 945, 711, 1152, 6785, 741, 2924, 267, 855, 849, 5280, 3964, 1346, 2924, 269, 901, 3992, 3947, 513, 2143, 2534, 540, 875, 3610, 666, 946, 513, 15858, 9291, 540, 7126, 547, 948, 1053, 1491, 9562, 936, 1018, 789, 666, 543, 3112, 798, 563, 28606, 940, 5441, 15894, 454, 12441, 596, 917, 2507, 1284, 723, 936, 476, 1220, 2852, 6030, 602, 5965, 596, 547, 7118, 5491, 676, 981, 602, 568, 7608, 676, 936, 476, 272, 267, 4335, 12621, 543, 9945, 269, 1411, 666, 1449, 856, 540, 519, 1101, 1079, 1296, 540, 2852, 543, 4688, 5215, 1055, 707, 4110, 269, 25175, 666, 7118, 5491, 8386, 7721, 600, 7488, 540, 2085, 610, 2069, 1377, 563, 2414, 1451, 811, 267, 3643, 938, 2423, 940, 15894, 8525, 454, 9558, 2536, 2590, 5491, 547, 519, 1153, 540, 707, 3903, 454, 8253, 2386, 1018, 2852, 596, 1616, 547, 7390, 2943, 286, 5530, 2593, 814, 5215, 540, 4930, 827, 1169, 16697, 762, 4110, 267, 1858, 540, 1353, 543, 4876, 2619, 602, 666, 948, 596, 1265, 519, 1153, 602, 781, 1318, 585, 596, 269, 0, 6124, 15867, 2023, 12456, 454, 763, 1715, 15867, 2023, 12456, 568, 513, 2481, 8108, 519, 1715, 15867, 2023, 1763, 969, 7546, 267, 1312, 2694, 540, 519, 1715, 3840, 4975, 1216, 3761, 1062, 269, 898, 21018, 2066, 519, 15867, 2023, 5211, 2282, 15867, 2023, 6823, 6953, 644, 5459, 267, 1715, 3840, 267, 827, 476, 2420, 5195, 5087, 540, 1715, 3840, 4975, 269, 14716, 3459, 538, 476, 6245, 273, 543, 729, 6192, 538, 476, 5002, 277, 269, 23850, 676, 1325, 874, 2945, 674, 974, 2917, 267, 519, 544, 21863, 2481, 568, 476, 29214, 3952, 3376, 693, 922, 3490, 543, 476, 29574, 3952, 1164, 689, 3490, 547, 30160, 269, 2311, 519, 942, 540, 922, 12032, 267, 621, 729, 519, 32399, 2481, 538, 519, 1158, 267, 621, 791, 2432, 909, 547, 476, 866, 5479, 2475, 17529, 540, 1216, 267, 513, 1507, 6824, 540, 519, 1715, 3840, 4975, 1216, 1062, 781, 2698, 4859, 4390, 540, 476, 276, 3199, 5479, 2475, 17529, 269, 634, 3312, 15867, 2023, 12456, 729, 3710, 1063, 476, 7277, 273, 547, 2087, 1715, 3840, 4975, 781, 1216, 3761, 269, 1635, 476, 6642, 272, 267, 1310, 3573, 18203, 547, 519, 2481, 267, 476, 2004, 3952, 1164, 267, 6196, 15867, 2023, 1763, 969, 7546, 729, 2111, 547, 3761, 827, 476, 3445, 2929, 2475, 17529, 513, 1554, 547, 519, 2749, 3842, 519, 6196, 15867, 2023, 13985, 9254, 551, 269, 1677, 2743, 32117, 1216, 2115, 267, 519, 13985, 9254, 551, 8189, 540, 519, 4975, 540, 1715, 3840, 10288, 4070, 540, 513, 1007, 15867, 2023, 1062, 538, 476, 6642, 276, 269, 31527, 11653, 6276, 645, 269, 14731, 729, 4547, 538, 607, 513, 22639, 585, 519, 4070, 563, 763, 6069, 2481, 543, 13111, 941, 547, 3382, 476, 736, 4009, 5195, 540, 2244, 13026, 676, 1857, 543, 4357, 5656, 267, 3670, 524, 655, 2678, 625, 267, 811, 982, 476, 6110, 11396, 269, 9473, 655, 31766, 13882, 3366, 547, 834, 2889, 339, 3949, 543, 10539, 257, 1354, 8569, 540, 6811, 543, 519, 8366, 532, 540, 4070, 11731, 282, 519, 960, 3196, 593, 519, 1007, 2481, 3769, 31356, 945, 1185, 5249, 593, 519, 3312, 2481, 269, 3627, 645, 269, 717, 9529, 28386, 267, 2706, 23734, 550, 540, 14155, 725, 543, 17849, 585, 519, 1788, 25945, 588, 517, 655, 3517, 689, 7013, 7977, 267, 945, 556, 2000, 11343, 547, 1715, 3840, 269, 14716, 3459, 538, 476, 6245, 273, 543, 729, 6192, 538, 476, 5002, 277, 269, 8490, 519, 2481, 5921, 11651, 1154, 519, 5757, 689, 922, 3339, 2619, 543, 23028, 519, 5757, 5523, 3819, 269, 1677, 9585, 713, 267, 4600, 25653, 513, 524, 29266, 11057, 12324, 476, 272, 267, 1822, 3952, 1279, 543, 476, 1220, 3952, 2647, 538, 519, 14629, 593, 519, 5087, 2427, 540, 519, 5757, 267, 17956, 519, 12324, 609, 513, 544, 21863, 20808, 3774, 267, 3710, 10151, 21394, 547, 1852, 519, 1216, 2095, 282, 519, 3355, 4070, 16768, 5216, 1296, 267, 3573, 12381, 543, 18203, 4682, 593, 585, 1776, 3670, 269, 11554, 2175, 941, 2352, 563, 288, 14980, 4670, 267, 634, 15867, 2023, 12456, 22367, 651, 267, 5950, 538, 476, 5002, 271, 267, 13269, 4074, 1700, 2006, 1771, 2042, 1644, 547, 519, 2481, 781, 4070, 269, 23850, 676, 1325, 874, 2945, 674, 974, 2917, 267, 519, 544, 21863, 2481, 568, 476, 29214, 3952, 3376, 693, 922, 3490, 543, 476, 29574, 3952, 1164, 689, 3490, 547, 30160, 269, 2311, 519, 942, 540, 922, 12032, 267, 621, 729, 519, 32399, 2481, 538, 519, 1158, 267, 922, 5748, 11498, 476, 9873, 3952, 2630, 519, 5127, 540, 519, 5757, 267, 519, 2481, 3568, 476, 25616, 267, 1822, 12945, 18126, 540, 544, 21863, 269, 634, 8030, 262, 16979, 15841, 593, 519, 2212 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3014, 540, 835, 5346, 17907, 1606, 1222, 1256, 1247, 789, 941, 4687, 602, 2027, 30687, 11812, 799, 4906, 729, 1818, 1256, 811, 13411, 609, 2463, 547, 3571, 1360, 4527, 538, 519, 7594, 543, 609, 2463, 547, 3571, 533, 2056, 15093, 269, 16429, 2507, 621, 786, 6318, 922, 30299, 2212, 538, 1256, 519, 1034, 13411, 540, 6381, 543, 2754, 563, 3719, 602, 779, 10502, 1946, 4906, 5795, 721, 713, 7594, 2507, 585, 19807, 267, 585, 938, 19807, 269, 898, 779, 15623, 779, 2272, 540, 4906, 685, 1913, 602, 1118, 602, 8763, 281, 968, 1607, 568, 1250, 1973, 540, 519, 1007, 26315, 267, 799, 568, 23953, 856, 585, 1082, 585, 519, 19807, 540, 21359, 3034, 2691, 649, 5609, 1107, 543, 649, 798, 2507, 1419, 2507, 3232, 2507, 1107, 950, 649, 5609, 267, 649, 1616, 547, 3142, 519, 1524, 3562, 268, 24160, 4641, 540, 938, 1378, 21359, 547, 519, 3444, 1141, 4906, 5747, 585, 721, 269, 901, 568, 519, 1747, 547, 2097, 1107, 585, 2386, 543, 1978, 19807, 585, 1346, 21359, 269, 2334, 779, 1018, 649, 3494, 1107, 621, 779, 519, 11359, 16886, 593, 519, 1209, 542, 3556, 281, 968, 296, 3494, 602, 267, 538, 713, 15762, 26963, 267, 2696, 3947, 803, 519, 19807, 540, 1250, 21359, 676, 11419, 1848, 1656, 602, 779, 1946, 267, 538, 513, 1906, 8090, 267, 649, 786, 267, 607, 853, 269, 6754, 8480, 539, 267, 4983, 6000, 267, 4983, 938, 2729, 267, 543, 21334, 938, 21359, 267, 1354, 4189, 540, 519, 3694, 543, 6704, 540, 519, 7484, 269, 1284, 666, 581, 8746, 602, 538, 2441, 779, 3020, 1560, 543, 1973, 649, 798, 4309, 2696, 779, 19807, 543, 11419, 585, 938, 2729, 563, 323, 269, 3465, 775, 540, 2441, 538, 721, 267, 543, 998, 721, 547, 1866, 454, 10190, 267, 538, 513, 20185, 540, 602, 6031, 968, 9767, 616, 1018, 596, 3548, 2223, 649, 666, 1174, 602, 607, 649, 1491, 2441, 779, 1560, 543, 1973, 883, 938, 4703, 267, 607, 649, 4309, 3571, 19807, 267, 649, 723, 519, 1360, 4527, 540, 4906, 1330, 28410, 538, 543, 998, 938, 2729, 607, 513, 3232, 4641, 269, 898, 779, 851, 540, 938, 4742, 2441, 6438, 267, 1373, 2370, 932, 28748, 547, 1866, 676, 8483, 1516, 607, 649, 723, 1044, 8483, 1508, 267, 543, 538, 938, 15962, 3527, 540, 8023, 519, 17237, 267, 7802, 519, 21736, 267, 22205, 519, 24928, 267, 543, 9683, 1346, 945, 616, 7210, 543, 538, 7890, 269, 2441, 568, 1459, 547, 721, 538, 519, 3694, 543, 9174, 540, 10513, 4004, 542, 267, 543, 2441, 568, 1459, 547, 938, 1158, 585, 607, 853, 269, 6754, 1767, 267, 968, 13731, 2729, 538, 803, 3034, 303, 2001, 518, 1107, 7083, 267, 4906, 2441, 267, 1411, 546, 1441, 609, 2659, 20785, 835, 3803, 942, 267, 4758, 873, 2479, 331, 8463, 13344, 538, 3694, 543, 9174, 269, 12315, 721, 267, 649, 7281, 267, 1346, 1482, 13344, 282, 19807, 267, 20778, 267, 543, 1209, 542, 609, 1411, 607, 649, 21649, 2390, 2659, 1360, 1560, 543, 1973, 538, 713, 3694, 543, 9174, 269, 769, 2659, 13411, 267, 10475, 2012, 649, 7281, 269, 2549, 523, 563, 268, 634, 7083, 779, 2672, 3899, 281, 1548, 621, 4024, 2142, 454, 320, 269, 5983, 339, 4292, 540, 519, 3171, 770, 547, 22067, 454, 5978, 2063, 4555, 585, 9522, 697, 616, 827, 1018, 519, 7083, 779, 2672, 3899, 786, 581, 269, 634, 6426, 267, 543, 4906, 267, 13924, 1345, 267, 1031, 513, 7333, 21103, 607, 606, 3239, 540, 13140, 1896, 2053, 269, 1284, 4862, 621, 713, 10543, 689, 19279, 476, 2420, 269, 9406, 1310, 4906, 1767, 267, 968, 296, 723, 23362, 5551, 547, 3548, 713, 30687, 609, 596, 1354, 594, 7985, 2223, 630, 7474, 729, 519, 6014, 30687, 602, 1261, 1131, 1689, 547, 581, 938, 7083, 779, 2672, 3899, 264, 1107, 1318, 1310, 602, 4906, 1767, 267, 968, 296, 786, 711, 3548, 621, 1586, 2394, 621, 9060, 20106, 538, 519, 10806, 540, 2696, 1848, 1261, 729, 6031, 602, 972, 786, 581, 606, 18163, 30687, 11812, 538, 13140, 563, 1103, 15623, 476, 2420, 4906, 1767, 602, 519, 10806, 540, 13140, 568, 899, 513, 4622, 945, 5423, 513, 16806, 7333, 21103, 585, 1010, 5067, 269, 1656, 538, 15623, 476, 1839, 267, 950, 4906, 729, 3450, 827, 519, 1439, 2053, 543, 519, 10806, 540, 13140, 267, 1261, 849, 5143, 513, 1612, 762, 827, 4557, 2205, 326, 1231, 945, 941, 7996, 543, 8600, 585, 513, 16806, 7333, 21103, 563, 27716, 685, 1101, 27803, 729, 547, 1683, 9174, 585, 513, 16806, 7333, 21103, 563, 3674, 320, 11672, 476, 1839, 12909, 827, 2696, 8600, 513, 20662, 880, 7333, 21103, 585, 3571, 1004, 563, 3725, 28156, 476, 866, 7125, 25552, 1346, 945, 616, 14376, 547, 519, 7365, 1139, 518, 540, 519, 23758, 563, 4517, 538, 1776, 522, 3939, 540, 1945, 6209, 689, 938, 1699, 1728, 332, 11594, 267, 519, 3105, 835, 12286, 891, 1913, 538, 519, 5510, 1068, 800, 281, 968, 294, 15869, 938, 3349, 609, 2659, 4527, 267, 543, 2285, 721, 513, 2062, 339, 4292, 540, 519, 21649, 547, 2097, 1848, 2311, 2547, 972, 616, 513, 7008, 540, 19001, 538, 938, 1209, 542, 1396, 21395, 602, 2446, 519, 7365, 21649, 540, 519, 23758, 538, 3571, 10806, 269, 1809, 968, 320, 2062, 339, 4292, 540, 519, 21649, 547, 2097, 892, 1107, 1018, 513, 4190, 3239, 540, 602, 31676, 7333, 21103, 3349, 1141, 649, 786, 8661, 2696, 779, 22556, 543, 11419, 552, 27238, 269, 1548, 649, 723, 3838, 713, 10543, 267, 543, 1169, 942, 649, 4309, 519, 7083, 779, 2672, 3899, 267, 568, 899, 606, 12608, 6500, 267, 554, 832, 546, 685, 4141, 12320, 637, 765, 339, 1154, 938, 7287, 585, 602, 31676, 7333, 21103, 602, 649, 786, 2671, 609, 782, 21071, 538, 519, 4527, 540, 938, 7083, 543, 14205, 21831, 563, 303, 2001, 518, 1107, 3400, 4109, 24656, 569, 12429, 267, 538, 519, 22984, 540, 713, 32425, 10432, 267, 950, 649, 3314, 782, 602, 2659, 11537, 12312, 14894, 539, 585, 721, 267, 1411, 723, 2016, 721, 513, 1121, 27320, 540, 519, 30687, 7594, 543, 519, 5191, 689, 6125, 720, 621, 31061, 269, 1411, 723, 2016, 721, 3020, 533, 30972, 543, 4708, 538, 713, 10513, 2672, 3899, 267, 543, 513, 2062, 339, 4292, 540, 519, 21649, 547, 2097, 269, 5901, 721, 6109, 538, 519, 3020, 5132, 602, 938, 21359, 616, 8483, 1508, 676, 5132, 538, 2659, 12312, 2394, 649, 8661, 519, 7365, 21649, 540, 519, 30340, 538, 3571, 10806, 602, 814, 1100, 1439, 282, 998, 4906, 2441, 267, 2659, 12312, 267, 938, 7083, 267, 945, 2729, 543, 12081, 338, 609, 1411, 543, 519, 10513, 13336, 267, 835, 2696, 267, 1631, 543, 11014, 269, 2549, 523, 269, 0, 291, 542, 903, 639, 568, 4122, 1634, 676, 1010, 4936, 2012, 267, 645, 659, 577, 639, 799, 5526, 547, 723, 1079, 3982, 8129, 269, 1261, 568, 519, 5067, 540, 519, 5601, 28736, 543, 513, 6180, 531, 4807, 267, 12054, 25279, 269, 1261, 729, 513, 3735, 12625, 538, 519, 5259, 13299, 543, 8164, 646, 729, 5018, 267, 621, 568, 609, 29383, 4586, 291, 542, 903, 639, 729, 519, 5259, 5601, 540, 18812, 7556, 267, 9174, 267, 9174, 1818, 267, 9161, 32408, 267, 3909, 3235, 560, 6470, 543, 519, 16222, 269, 1261, 729, 26902, 5792, 4440, 538, 476, 5611, 271, 268, 1911, 7460, 563, 291, 542, 903, 639, 685, 3993, 267, 12054, 25279, 729, 8945, 539, 676, 4173, 320, 267, 7385, 540, 28736, 602, 1352, 666, 1294, 519, 3020, 1106, 540, 1200, 24158, 269, 28736, 729, 7142, 547, 7866, 5128, 607, 646, 1185, 2220, 1941, 269, 1306, 646, 1705, 865, 267, 12054, 25279, 729, 1266, 5285, 539, 538, 18723, 607, 28736, 7000, 5128, 538, 782, 1010, 18710, 269, 28736, 10710, 667, 542, 903, 639, 607, 513, 21565, 676, 22927, 1864, 883, 1010, 25427, 2394, 646, 729, 4712, 547, 581, 4535, 563, 291, 542, 903, 639, 729, 27481, 539, 538, 513, 2027, 7121, 1373, 513, 7466, 4535, 5601, 543, 519, 1152, 5601, 609, 513, 6180, 531, 2385, 4586, 291, 542, 903, 639, 729, 849, 1572, 519, 5601, 540, 12680, 543, 519, 5601, 540, 9174, 269, 19088, 1108, 5640, 3494, 865, 1317, 540, 519, 2470, 540, 1010, 2038, 32193, 543, 519, 1184, 540, 5969, 540, 519, 18812, 341, 710, 547, 3132, 1434, 9174, 689, 18683, 4586, 313, 324, 639, 685, 7385, 729, 1869, 14220, 543, 23279, 609, 667, 542, 903, 639, 543, 1185, 2366, 519, 25315, 753, 547, 6146, 519, 7911, 269, 28736, 13351, 519, 25315, 753, 609, 1010, 19711, 2513, 339, 855, 729, 3735, 547, 15063, 667, 542, 903, 639, 607, 519, 25315, 753, 1185, 2907, 10982, 14801, 543, 17696, 1864, 4849, 585, 1010, 2295, 269, 23723, 320, 10710, 1010, 2295, 543, 28736, 9903, 730, 1864, 538, 1010, 25427, 4586, 291, 542, 903, 639, 729, 1419, 4330, 4505, 607, 513, 9921, 5256, 269, 609, 513, 581, 731, 8066, 538, 1010, 1688, 513, 535, 3317, 601, 1796, 609, 513, 12566, 13409, 538, 519, 1439, 269, 1717, 267, 2663, 2592, 540, 519, 5601, 4951, 1864, 513, 581, 14177, 267, 21736, 10859, 543, 5766, 2106, 748, 6107, 1141, 729, 4330, 607, 968, 30513, 569, 9731, 3891, 729, 513, 3946, 727, 812, 609, 606, 25412, 4552, 543, 513, 530, 805, 327, 540, 17488, 344, 538, 1010, 3946, 269, 1261, 5645, 519, 968, 20321, 3464, 657, 5608, 513, 1769, 5234, 609, 17488, 344, 3762, 543, 513, 12566, 13409, 593, 1283, 4586, 291, 542, 903, 639, 6698, 616, 519, 630, 272, 264, 717, 1905, 525, 543, 717, 984, 2280, 269, 901, 568, 538, 6935, 547, 1010, 1373, 5601, 540, 9174, 269, 1261, 6026, 3425, 875, 547, 11349, 519, 18812, 341, 710, 267, 2046, 18683, 543, 1118, 621, 883, 9174, 282, 630, 273, 264, 2274, 16985, 267, 23202, 615, 543, 26286, 269, 1452, 2831, 941, 1031, 547, 2721, 1010, 669, 926, 1824, 282, 630, 274, 264, 594, 11803, 269, 901, 2030, 568, 513, 3090, 540, 23629, 1275, 543, 18656, 10885, 269, 898, 729, 1767, 602, 519, 530, 805, 327, 31426, 547, 5789, 787, 14708, 269, 630, 275, 264, 774, 344, 3464, 657, 269, 3674, 513, 9059, 18389, 602, 1223, 2490, 513, 4224, 883, 1216, 543, 519, 1216, 883, 9174, 4586, 5278, 6589, 2161, 602, 19555, 525, 3576, 1416, 540, 519, 1762, 667, 542, 903, 639, 1247, 1866, 2161, 602, 28736, 2451, 1010, 5067, 585, 519, 1416, 540, 519, 7823, 562, 8233, 338, 693, 6778, 715, 903, 320, 269, 2755, 513, 8747, 540, 519, 1650, 5018, 602, 646, 1577, 3131, 572, 7483, 610, 681, 9996, 1491, 1864, 547, 519, 896, 16447, 2476, 689, 519, 4064, 540, 4173, 320, 4586, 295, 5028, 1577, 1864, 32603, 1472, 519, 1158, 269, 1306, 667, 542, 903, 639, 729, 29595, 267, 646, 3323, 10825, 1010, 1381, 543, 729, 10483, 676, 519, 8575, 523, 6758, 267, 3552, 2021, 609, 9174, 269, 2755, 519, 824, 10971, 1185, 17633, 585, 873, 547, 581, 26902, 5792, 267, 667, 542, 903, 639, 685, 13794, 26902, 5792, 1864, 538, 519, 4104, 563, 291, 542, 903, 639, 729, 849, 835, 540, 519, 1906, 538, 13299, 945, 4682, 547, 519, 896, 16447, 547, 3142, 1394, 519, 4666, 269, 1261, 4941, 547, 1294, 543, 917, 1010, 3993, 267, 12054, 25279, 543, 4941, 1200, 547, 581, 4547, 1394, 689, 519, 4666, 269, 1261, 1065, 8215, 20537, 520, 657, 2073, 1268, 2305, 540, 2669, 543, 4547, 1010, 3993, 1394, 547, 6778, 10493, 639, 4586, 15124, 667, 542, 903, 807, 568, 513, 5259, 13037, 538, 8956, 540, 667, 542, 903, 639, 269, 898, 568, 4371, 538, 4728, 538, 18603, 1141, 3504, 10565, 13037, 543, 2893, 344, 878, 12416, 1101, 3323, 269, 634, 13037, 568, 13984, 676, 519, 12504, 540, 18603, 1141, 513, 10564, 786, 14526, 585, 519, 1655, 2893, 10455, 1404, 1547, 0, 19425, 2801, 1670, 20341, 5439, 666, 581, 8810, 2331, 998, 519, 2079, 540, 519, 5169, 540, 922, 5057, 10036, 543, 2191, 563, 268, 7577, 5455, 30098, 454, 268, 29447, 1772, 582, 8554, 454, 268, 772, 268, 1320, 25441, 454, 268, 8048, 1772, 582, 8554, 454, 268, 16907, 517, 1772, 582, 8554, 454, 268, 29447, 9539, 323, 6953, 325, 1772, 582, 8554, 454, 268, 10281, 14347, 1315, 7025, 3163, 454, 268, 19232, 26585, 1315, 19232, 665, 3916, 26331, 454, 289, 2158, 543, 4522, 616, 5266, 1455, 1369, 519, 15456, 543, 12779, 2632, 1670, 2594, 1813, 547, 519, 12402, 585, 1164, 11091, 1310, 19746, 563, 296, 810, 8663, 3163, 568, 1631, 5356, 513, 853, 3224, 1756, 20048, 1108, 6796, 585, 6580, 7286, 19941, 5439, 269, 853, 3224, 1756, 1772, 582, 2100, 13158, 3930, 630, 9262, 306, 337 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12285, 568, 5833, 689, 519, 5144, 344, 3043, 5714, 1572, 3735, 343, 267, 1336, 538, 1082, 2371, 2507, 7476, 12313, 454, 276, 2081, 9657, 2337, 519, 4541, 21912, 1103, 454, 3725, 19464, 2337, 8190, 938, 2067, 2200, 269, 2052, 596, 4952, 875, 1082, 4054, 616, 2759, 1169, 1554, 547, 1683, 721, 609, 782, 938, 1957, 543, 3574, 286, 4270, 267, 952, 649, 22120, 1957, 2472, 899, 14786, 543, 3267, 7476, 12313, 454, 12850, 19074, 267, 9657, 267, 5726, 538, 5663, 454, 7922, 690, 4826, 19074, 267, 9657, 267, 5726, 538, 5663, 269, 4826, 19074, 267, 9657, 267, 5726, 538, 5663, 3267, 1703, 616, 31431, 585, 3282, 543, 1034, 824, 2067, 2200, 267, 855, 972, 568, 1100, 12990, 585, 1216, 269, 3267, 589, 1455, 1966, 538, 4393, 2371, 568, 13451, 344, 1216, 12992, 267, 3514, 14005, 267, 543, 17901, 269, 10705, 20984, 2049, 1317, 3044, 3267, 7476, 12313, 454, 5522, 10415, 1234, 7094, 619, 2342, 1923, 1773, 10415, 1234, 7094, 619, 2342, 454, 5522, 10415, 9657, 568, 513, 3532, 1611, 585, 8165, 7286, 543, 2244, 5533, 269, 1403, 15229, 616, 711, 13381, 543, 26356, 540, 538, 513, 1697, 1259, 789, 786, 581, 2366, 547, 1651, 514, 3130, 2371, 267, 610, 538, 519, 10782, 2013, 267, 23987, 538, 519, 2067, 1604, 1141, 789, 1439, 909, 7700, 547, 2244, 543, 7286, 5533, 269, 7476, 12313, 454, 301, 22021, 4783, 9504, 454, 288, 8770, 4783, 630, 528, 8733, 9657, 264, 568, 519, 3350, 543, 5385, 540, 5214, 543, 22803, 2339, 1394, 883, 519, 2504, 540, 2339, 269, 6052, 2095, 568, 513, 796, 573, 27399, 543, 1875, 7094, 545, 13374, 267, 3267, 8426, 592, 2216, 1122, 15665, 11476, 7119, 538, 519, 2067, 267, 8733, 9657, 540, 2030, 1570, 1701, 7476, 12313, 454, 23490, 5308, 16249, 11550, 290, 8577, 19889, 290, 1335, 454, 20332, 9657, 630, 4818, 24031, 264, 4386, 593, 513, 6024, 4493, 538, 519, 2067, 1604, 269, 17667, 2339, 568, 8311, 1242, 676, 14471, 543, 10057, 676, 29068, 269, 634, 4611, 5567, 616, 8120, 547, 519, 3037, 547, 1489, 2030, 2208, 269, 7476, 12313, 454, 1432, 616, 11588, 540, 27822, 286, 3117, 2925, 6052, 8892, 454, 763, 2640, 540, 9657, 616, 602, 621, 2337, 547, 1832, 519, 5533, 538, 2638, 543, 6175, 621, 2370, 676, 2370, 269, 3117, 2925, 7849, 8249, 281, 2480, 1905, 6517, 267, 2025, 14569, 267, 22938, 13875, 543, 1031, 12285, 1119, 637, 616, 4742, 1455, 2934, 540, 938, 26071, 269, 7476, 12313, 454, 6347, 16703, 281, 4826, 27822, 9615, 6713, 454, 2026, 513, 2067, 5214, 13226, 543, 3037, 30690, 267, 19777, 565, 1749, 1683, 513, 2407, 9148, 540, 519, 1898, 5567, 543, 25050, 19153, 2556, 585, 2635, 2030, 2208, 543, 666, 581, 1031, 538, 6683, 630, 29715, 2244, 3498, 264, 610, 789, 666, 581, 1500, 883, 11003, 585, 3498, 593, 1876, 985, 267, 10651, 267, 543, 4054, 269, 7476, 12313, 454, 298, 4041, 4932, 3198, 301, 4858, 2738, 543, 15733, 454, 24456, 2029, 585, 4393, 2067, 6149, 543, 9657, 269, 918, 4041, 4932, 3198, 301, 7727, 513, 1804, 2039, 540, 10265, 19854, 267, 1764, 19854, 543, 13409, 19854, 267, 607, 1134, 607, 9584, 2371, 585, 4393, 7777, 6151, 2326, 543, 9657, 4070, 2326, 269, 7476, 12313, 454, 3725, 19464, 7233, 634, 32201, 7577, 454, 5978, 21060, 9657, 2030, 2488, 606, 5993, 9494, 936, 476, 10384, 267, 1822, 9748, 540, 938, 2479, 811, 10475, 8828, 4993, 2067, 2200, 543, 814, 1500, 519, 32201, 7577, 835, 540, 519, 3056, 6691, 619, 538, 21060, 6019, 269, 7476, 12313, 0, 12041, 2433, 1955, 4094, 918, 26234, 14752, 563, 13775, 2433, 29443, 267, 3967, 476, 1556, 476, 1001, 280, 2433, 274, 6751, 563, 26705, 2433, 795, 17989, 10768, 701, 326, 563, 763, 1788, 2359, 849, 2337, 543, 10274, 519, 1788, 9614, 543, 519, 1788, 2319, 547, 1118, 1732, 3664, 602, 616, 2629, 538, 519, 1646, 1544, 540, 513, 1788, 269, 898, 849, 21314, 543, 8060, 519, 2200, 543, 519, 9993, 540, 1169, 1788, 602, 949, 723, 513, 5458, 1764, 3948, 593, 519, 1788, 563, 19061, 2359, 568, 519, 3498, 540, 1983, 267, 1995, 267, 1702, 267, 2409, 267, 543, 3157, 547, 3035, 519, 6859, 540, 513, 1788, 269, 898, 568, 519, 1560, 540, 1702, 3823, 3785, 267, 1775, 4318, 1421, 4058, 267, 9013, 267, 543, 17265, 269, 5741, 2359, 849, 3322, 1818, 2386, 596, 2347, 519, 1788, 563, 4407, 513, 1788, 1544, 568, 513, 3561, 602, 949, 2154, 9185, 12125, 855, 568, 6382, 7768, 538, 9786, 6478, 269, 1280, 2596, 3785, 267, 2705, 267, 596, 949, 1205, 2476, 609, 1152, 513, 9786, 9185, 3561, 563, 4407, 513, 1788, 9614, 568, 513, 3318, 945, 4566, 543, 1418, 3278, 2200, 543, 10986, 269, 1358, 1590, 1118, 2386, 789, 2347, 519, 1788, 593, 942, 543, 1369, 6578, 269, 1358, 1590, 849, 2327, 602, 519, 1788, 10742, 519, 4170, 540, 519, 1870, 269, 5741, 9946, 2291, 538, 782, 6080, 543, 1169, 1826, 540, 3919, 269, 1358, 949, 581, 25255, 267, 9946, 267, 5520, 267, 610, 4830, 29801, 563, 310, 728, 2039, 540, 1788, 2359, 4247, 269, 1306, 513, 1788, 568, 2189, 267, 621, 3335, 2882, 3523, 2209, 945, 798, 711, 2356, 960, 1927, 269, 769, 1249, 267, 519, 3523, 2209, 1419, 2097, 689, 1114, 3906, 267, 10459, 267, 543, 1256, 2477, 269, 0, 5978, 15769, 786, 2689, 1018, 596, 4076, 11643, 543, 3313, 2436, 547, 23590, 519, 2376, 12282, 7765, 27429, 781, 14539, 31313, 5358, 543, 938, 2146, 540, 4966, 547, 2744, 513, 2518, 5304, 585, 707, 960, 2336, 290, 15530, 541, 4864, 334, 9995, 3626, 454, 290, 15530, 541, 4864, 334, 9995, 3626, 267, 849, 1572, 4864, 334, 595, 15530, 541, 9995, 3626, 267, 630, 9799, 476, 6245, 274, 1765, 323, 1221, 4924, 269, 476, 2537, 267, 476, 4350, 275, 1070, 12832, 31804, 10224, 1368, 20482, 8759, 6205, 267, 835, 540, 519, 1034, 11786, 5515, 540, 476, 736, 628, 10601, 6239, 1977, 1686, 269, 769, 12832, 31804, 7699, 646, 2968, 513, 2442, 5869, 543, 5795, 1010, 2012, 547, 519, 9995, 21442, 553, 267, 513, 12316, 1895, 602, 4646, 519, 2229, 689, 476, 3192, 280, 547, 476, 1960, 271, 563, 306, 663, 3626, 1101, 6591, 3084, 6284, 538, 476, 4572, 277, 267, 950, 646, 3576, 909, 7916, 538, 1489, 540, 21470, 5518, 20844, 645, 2246, 16695, 15762, 14505, 779, 3409, 547, 519, 24164, 269, 16270, 519, 6304, 540, 772, 2529, 269, 3057, 1149, 538, 476, 4572, 278, 267, 9995, 3626, 24013, 4319, 609, 1896, 4627, 2367, 547, 519, 10239, 540, 7187, 12832, 31804, 7699, 267, 543, 1010, 1967, 538, 1714, 24851, 7001, 676, 519, 772, 2529, 269, 4229, 543, 519, 12832, 31804, 10224, 2817, 15050, 13631, 7839, 29059, 585, 1864, 2429, 519, 21571, 269, 634, 4611, 4550, 12677, 4743, 729, 14356, 3743, 585, 5518, 15284, 667, 269, 17619, 779, 968, 14187, 27199, 4011, 8889, 2223, 606, 9307, 6963, 1637, 540, 772, 2529, 269, 4914, 1894, 609, 5824, 3013, 269, 11374, 519, 15639, 540, 519, 3057, 1149, 538, 5130, 476, 4350, 274, 543, 519, 22305, 4851, 540, 15762, 14505, 607, 7022, 267, 9995, 3626, 729, 14376, 547, 2743, 609, 1323, 770, 553, 1470, 24622, 334, 5633, 267, 519, 2212, 540, 519, 2817, 15050, 267, 585, 606, 7805, 4708, 10554, 855, 729, 705, 2265, 539, 543, 23689, 3079, 676, 2817, 2871, 1841, 5443, 563, 9596, 2859, 538, 891, 1644, 27429, 4930, 912, 306, 663, 514, 16695, 301, 3139, 585, 595, 15530, 541, 4864, 334, 9995, 3626, 267, 513, 5869, 540, 12832, 31804, 10224, 4187, 547, 772, 2529, 269, 4108, 13567, 630, 4572, 278, 1700, 3451, 1070, 519, 674, 20784, 301, 729, 8547, 538, 476, 3422, 273, 676, 24883, 674, 2945, 8619, 2549, 11456, 267, 8125, 341, 1470, 2904, 3073, 320, 267, 543, 8751, 27222, 645, 5282, 6742, 6403, 928, 345, 607, 513, 12316, 1895, 8149, 547, 25847, 543, 547, 519, 24057, 992, 540, 519, 24622, 334, 5633, 1920, 269, 3683, 7498, 297, 10224, 645, 2246, 16695, 15762, 14505, 454, 297, 10224, 645, 2246, 16695, 15762, 14505, 267, 12832, 31804, 10224, 2829, 2006, 945, 6039, 607, 1010, 2197, 779, 7022, 538, 476, 4350, 273, 1700, 3607, 269, 15762, 14505, 6594, 538, 519, 2136, 2276, 689, 476, 6642, 280, 547, 476, 5002, 272, 267, 15980, 606, 631, 6185, 269, 689, 12052, 2160, 269, 769, 476, 4572, 275, 7498, 14187, 27199, 4011, 8889, 454, 14187, 27199, 4011, 8889, 267, 2442, 2012, 585, 519, 5824, 1977, 3609, 22002, 676, 519, 7245, 540, 519, 772, 2529, 269, 7022, 15284, 667, 269, 17619, 269, 21909, 539, 676, 519, 7022, 779, 7029, 968, 1729, 519, 3609, 540, 519, 1434, 7023, 892, 630, 14140, 22305, 1116, 2232, 267, 4728, 476, 275, 267, 476, 4350, 274, 1070, 519, 1935, 6825, 513, 22576, 689, 2757, 1977, 6304, 1143, 269, 3414, 519, 7498, 2304, 770, 553, 1470, 24622, 334, 5633, 267, 17199, 1790, 7035, 6509, 945, 729, 9598, 1807, 540, 12832, 31804, 7699, 585, 476, 736, 1296, 269, 2776, 2536, 2590, 519, 946, 540, 19121, 720, 543, 536, 686, 25053, 547, 5208, 267, 646, 3964, 513, 1920, 15913, 538, 799, 646, 729, 2507, 0, 313, 334, 2684, 850, 2534, 543, 824, 4638, 6927, 949, 581, 5941, 267, 855, 1152, 538, 606, 3617, 2796, 543, 6073, 269, 2142, 28856, 13187, 602, 2831, 1522, 581, 911, 15436, 1242, 1256, 676, 513, 1875, 8686, 2723, 550, 267, 4638, 1935, 689, 513, 1480, 282, 476, 2705, 267, 2142, 28856, 849, 3081, 602, 538, 930, 2665, 267, 1875, 268, 629, 15133, 1655, 658, 640, 666, 581, 25262, 958, 5418, 553, 9092, 585, 1312, 519, 1480, 543, 1875, 25993, 3662, 269, 634, 15101, 4785, 3217, 519, 2990, 602, 782, 4638, 2534, 1063, 3425, 543, 2831, 568, 29880, 267, 2436, 621, 3322, 2168, 5945, 610, 711, 269, 2368, 1990, 3019, 4680, 949, 581, 11843, 998, 13680, 3346, 267, 855, 1866, 616, 1454, 811, 11593, 11843, 676, 2238, 602, 16616, 3425, 547, 519, 5033, 523, 2073, 21420, 12862, 267, 10729, 2073, 19975, 2073, 28797, 543, 1973, 540, 2831, 269, 5221, 540, 922, 11786, 2470, 267, 1004, 723, 2919, 7440, 1312, 585, 476, 543, 1996, 476, 18186, 17232, 807, 269, 769, 519, 2376, 834, 3891, 8283, 8891, 1154, 2437, 476, 590, 5424, 13187, 602, 1990, 5366, 10745, 2534, 991, 711, 581, 29880, 267, 543, 602, 3347, 1223, 1106, 799, 941, 20102, 10150, 269, 1452, 2516, 6385, 16668, 1927, 18186, 2684, 3796, 267, 930, 540, 7247, 849, 2813, 2123, 543, 1514, 7270, 543, 4950, 15473, 269, 4658, 945, 2697, 607, 18186, 2684, 3796, 949, 1745, 741, 2648, 585, 2831, 568, 11509, 2864, 982, 17033, 4638, 267, 543, 2161, 713, 2306, 873, 1114, 689, 1346, 22867, 7357, 16770, 12592, 6411, 540, 1655, 658, 640, 269, 2368, 9718, 619, 540, 1655, 658, 640, 8044, 602, 519, 3390, 540, 4638, 9844, 568, 13061, 1317, 1082, 3656, 1480, 2853, 971, 607, 5033, 523, 4015, 2073, 5841, 538, 20611, 2073, 10122, 267, 8047, 4152, 2073, 543, 26718, 532, 2831, 585, 5779, 798, 711, 4125, 519, 9844, 540, 519, 3662, 563, 26855, 3701, 1996, 1655, 658, 640, 7454, 658, 640, 568, 2938, 676, 519, 2229, 540, 519, 2136, 8003, 607, 25340, 22841, 2623, 607, 8612, 676, 519, 5177, 5851, 8433, 2689, 593, 4638, 1055, 1878, 538, 590, 5424, 543, 1866, 723, 11130, 602, 1004, 781, 771, 3697, 540, 1655, 658, 640, 568, 14356, 3361, 676, 19450, 2249, 1143, 543, 10236, 12510, 337, 1143, 269, 645, 2572, 543, 824, 8194, 689, 21774, 610, 911, 332, 7204, 949, 2049, 269, 634, 4950, 543, 922, 21530, 25600, 1500, 1004, 2111, 547, 3406, 585, 1344, 593, 3584, 799, 941, 711, 6382, 3362, 3015, 543, 547, 5968, 609, 3448, 3106, 543, 26687, 640, 269, 13870, 543, 6071, 15896, 5526, 547, 581, 3656, 267, 2705, 269, 4329, 267, 1247, 519, 3484, 8695, 20943, 8124, 21503, 1522, 723, 1044, 851, 540, 513, 6917, 2528, 538, 799, 3023, 609, 2831, 729, 513, 851, 267, 519, 3023, 3294, 1705, 711, 5581, 519, 2146, 269, 7698, 10023, 3023, 609, 2831, 568, 4922, 2139, 593, 519, 5769, 267, 1813, 547, 922, 8897, 540, 2504, 269, 901, 835, 568, 1759, 593, 513, 18896, 781, 4050, 529, 269, 2717, 1170, 976, 543, 8895, 760, 22863, 556, 3146, 548, 1078, 607, 834, 634, 6153, 6196, 715, 2795, 1399, 17963, 834, 568, 513, 4015, 540, 2038, 3943, 14980, 8874, 585, 2156, 1492, 331, 946, 267, 1519, 930, 3662, 27127, 2762, 267, 6580, 689, 1472, 2443, 1635, 1472, 2443, 267, 519, 2647, 1514, 2121, 1185, 7960, 269, 1452, 2516, 6385, 16668, 1927, 18186, 2684, 3796, 267, 930, 540, 7247, 849, 2813, 2123 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 835, 540, 519, 3039, 9703, 9475, 780, 4322, 3652, 540, 14853, 616, 2653, 547, 3314, 281, 834, 10673, 1405, 7914, 883, 513, 7944, 610, 856, 540, 519, 4099, 6231, 288, 476, 1220, 279, 1957, 1496, 303, 275, 316, 3067, 5809, 875, 1454, 713, 4341, 2337, 513, 6345, 945, 2824, 338, 26357, 693, 4351, 630, 338, 675, 569, 596, 666, 798, 1732, 982, 602, 256, 6393, 1805, 641, 1934, 952, 596, 1616, 547, 2119, 519, 11015, 1586, 609, 891, 4388, 269, 7427, 713, 3095, 547, 1404, 1250, 2228, 4528, 540, 713, 3014, 269, 1403, 596, 616, 2731, 588, 22981, 267, 713, 4528, 786, 1448, 856, 782, 26357, 602, 1291, 547, 513, 4666, 1439, 269, 1403, 596, 1413, 585, 891, 10881, 267, 596, 786, 11573, 6336, 2439, 31590, 9771, 623, 1122, 3752, 7534, 790, 6301, 8525, 3267, 0, 12626, 692, 1692, 798, 596, 5173, 19105, 16316, 11545, 29853, 630, 320, 611, 339, 264, 2496, 1692, 547, 12433, 19105, 16316, 11545, 29853, 2496, 288, 4696, 307, 568, 519, 28008, 540, 16316, 3328, 3232, 6808, 269, 898, 568, 519, 3328, 6174, 6808, 540, 835, 1032, 593, 513, 19814, 269, 589, 4696, 307, 568, 7229, 676, 12270, 519, 2698, 4320, 540, 6174, 6808, 593, 513, 19814, 585, 513, 1032, 676, 476, 18458, 2395, 269, 589, 4696, 307, 568, 6027, 547, 3313, 519, 7616, 585, 5826, 543, 6454, 540, 519, 9897, 563, 2080, 568, 513, 5618, 5850, 593, 875, 547, 5173, 589, 4696, 307, 1210, 519, 2241, 3268, 267, 6616, 519, 2698, 4320, 540, 3232, 6808, 585, 519, 1032, 780, 13528, 3121, 912, 288, 4696, 307, 815, 630, 13707, 4320, 540, 6174, 6808, 585, 476, 272, 1032, 264, 1315, 476, 18458, 2395, 692, 9288, 20011, 589, 4696, 307, 543, 2010, 540, 11545, 29853, 912, 2467, 616, 1079, 2553, 1031, 547, 2268, 589, 4696, 307, 267, 835, 568, 23120, 1293, 1239, 4015, 1505, 543, 519, 824, 568, 10374, 3856, 1239, 4015, 1505, 267, 849, 1634, 607, 15147, 720, 1293, 1239, 4015, 1505, 563, 20681, 4635, 23120, 1293, 1239, 4015, 1505, 267, 8596, 616, 18385, 11251, 883, 513, 4155, 543, 6808, 1239, 568, 6027, 782, 476, 18458, 2395, 563, 20681, 4635, 10374, 3856, 1239, 4015, 1505, 267, 6808, 568, 6394, 609, 15409, 8596, 602, 616, 5116, 593, 519, 9897, 543, 6808, 1239, 568, 6592, 585, 476, 273, 547, 476, 1691, 2395, 563, 763, 6808, 1239, 4015, 8596, 616, 3457, 799, 946, 16986, 267, 8955, 267, 610, 5067, 541, 4066, 563, 763, 16316, 19105, 11545, 29853, 630, 288, 4696, 307, 264, 568, 6027, 1169, 1614, 1296, 585, 519, 1482, 4155, 780, 2467, 616, 1114, 2010, 540, 7403, 1644, 547, 11545, 29853, 267, 799, 616, 607, 5205, 912, 20681, 16316, 19105, 10432, 1485, 29853, 630, 8150, 310, 307, 264, 910, 22291, 1152, 11728, 547, 11016, 4578, 269, 5398, 14812, 616, 16934, 563, 20681, 19105, 4832, 3232, 6808, 630, 32359, 307, 264, 910, 4578, 568, 6394, 1282, 4832, 1152, 563, 20681, 19105, 11545, 29853, 630, 4696, 307, 264, 910, 634, 3328, 1297, 540, 6472, 8429, 1312, 547, 543, 8389, 267, 693, 513, 1880, 1448, 540, 519, 4155, 538, 513, 476, 2190, 16923, 1974, 269, 4578, 6394, 585, 513, 1032, 543, 5258, 676, 476, 18458, 2395, 780, 299, 1115, 2015, 606, 1383, 2676, 1432, 786, 581, 519, 589, 4696, 307, 630, 25486, 783, 19105, 11545, 29853, 264, 585, 513, 19814, 540, 476, 8517, 737, 916, 267, 3177, 519, 6808, 1239, 6394, 676, 519, 8596, 2161, 519, 2698, 4320, 1297, 540, 6472, 8429, 547, 543, 8389, 538, 513, 1032, 593, 519, 19814, 568, 476, 275, 4343, 4962, 275, 277, 563, 3721, 476, 272, 281, 25849, 532, 519, 2016, 2418, 454, 13707, 11730, 540, 27990, 29853, 585, 476, 272, 1032, 815, 476, 275, 4343, 4962, 275, 277, 454, 3721, 476, 273, 281, 15240, 23082, 519, 2418, 538, 519, 4542, 267, 0, 258, 16265, 847, 519, 2040, 540, 1269, 274, 331, 268, 476, 275, 332, 910, 476, 278, 333, 317, 273, 259, 543, 1269, 273, 331, 1341, 476, 274, 332, 910, 476, 275, 333, 317, 273, 259, 689, 519, 2040, 540, 1269, 280, 331, 1341, 476, 273, 332, 910, 476, 274, 333, 317, 273, 259, 543, 1269, 268, 274, 331, 1341, 544, 1341, 476, 275, 333, 317, 273, 16859, 2971, 13159, 5124, 11788, 13268, 692, 280, 20043, 476, 1741, 476, 1109, 273, 552, 20486, 692, 2971, 14464, 11106, 1299, 10724, 4804, 11788, 13268, 692, 277, 20043, 476, 1741, 476, 1109, 272, 552, 20486, 692, 2971, 10084, 11788, 13268, 692, 280, 20043, 476, 1741, 476, 1109, 273, 552, 20486, 692, 2414, 798, 1384, 2171, 723, 547, 10208, 519, 2040, 540, 1269, 274, 331, 268, 476, 275, 332, 910, 476, 278, 333, 317, 273, 259, 543, 1269, 273, 331, 1341, 476, 274, 332, 910, 476, 275, 333, 317, 273, 259, 689, 519, 2040, 540, 1269, 280, 331, 1341, 476, 273, 332, 910, 476, 274, 333, 317, 273, 259, 543, 1269, 268, 274, 331, 1341, 544, 1341, 476, 275, 333, 317, 273, 16859, 11405, 1384, 11764, 540, 1269, 280, 331, 1341, 476, 273, 332, 910, 476, 274, 333, 317, 273, 259, 543, 1269, 268, 274, 331, 1341, 544, 1341, 476, 275, 333, 317, 273, 259, 568, 10484, 259, 280, 331, 1341, 476, 273, 332, 910, 476, 274, 333, 317, 273, 1341, 11196, 274, 331, 1341, 544, 1341, 476, 275, 333, 317, 273, 6661, 476, 280, 331, 1341, 476, 273, 332, 910, 476, 274, 333, 317, 273, 910, 476, 274, 331, 1341, 544, 1341, 476, 275, 333, 317, 273, 6911, 259, 284, 476, 280, 331, 268, 476, 274, 331, 266, 476, 273, 332, 1341, 544, 910, 476, 274, 562, 317, 273, 1341, 476, 275, 333, 317, 273, 6911, 259, 284, 476, 277, 331, 1341, 476, 274, 332, 1341, 562, 317, 273, 6911, 11764, 540, 1269, 274, 331, 910, 476, 275, 332, 910, 476, 278, 333, 317, 273, 259, 543, 1269, 273, 331, 1341, 274, 332, 268, 476, 275, 333, 317, 273, 259, 568, 10484, 259, 274, 331, 268, 476, 275, 332, 910, 476, 278, 333, 317, 273, 1341, 263, 273, 331, 266, 476, 274, 332, 268, 476, 275, 333, 317, 273, 6661, 476, 274, 331, 1341, 476, 273, 331, 910, 476, 275, 332, 1341, 476, 274, 332, 268, 476, 278, 333, 317, 273, 910, 476, 275, 333, 317, 273, 6911, 259, 284, 476, 276, 331, 910, 332, 268, 476, 1556, 333, 317, 273, 6911, 8138, 339, 24219, 1269, 276, 331, 910, 332, 268, 476, 1556, 333, 317, 273, 259, 689, 1269, 277, 331, 1341, 476, 274, 332, 1341, 562, 317, 273, 6911, 259, 263, 277, 331, 1341, 476, 274, 332, 1341, 562, 317, 273, 264, 910, 630, 276, 331, 910, 544, 910, 476, 1556, 333, 317, 273, 264, 815, 476, 277, 331, 1341, 476, 274, 332, 1341, 562, 317, 273, 910, 476, 276, 331, 1341, 544, 1341, 476, 1556, 333, 317, 273, 6911, 259, 284, 476, 277, 331, 910, 476, 276, 331, 1341, 476, 274, 332, 1341, 544, 1341, 562, 317, 273, 1341, 476, 1556, 333, 317, 273, 6911, 259, 284, 561, 1341, 476, 275, 332, 266, 476, 1321, 333, 317, 273, 6911, 24993, 593, 476, 1015, 268, 12914, 268, 1708, 273, 476, 1724, 281, 866, 281, 3066 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 6092, 5149, 281, 4197, 29980, 12267, 543, 1773, 904, 692, 5970, 596, 2479, 4862, 540, 2984, 610, 4249, 602, 616, 865, 2462, 267, 789, 991, 547, 581, 5143, 936, 1896, 2395, 286, 1452, 2010, 540, 2984, 616, 1572, 834, 788, 923, 2437, 543, 789, 666, 1491, 1082, 1114, 3029, 269, 4653, 267, 649, 786, 2263, 1079, 1360, 1114, 3134, 923, 1107, 835, 568, 606, 22968, 782, 827, 3504, 10971, 543, 12325, 267, 1247, 519, 824, 568, 513, 3126, 540, 4249, 827, 2834, 1004, 7231, 609, 2648, 267, 1920, 267, 543, 1272, 538, 519, 476, 3192, 271, 338, 269, 2913, 781, 4685, 883, 891, 12473, 8941, 2439, 5575, 267, 1577, 781, 2911, 827, 1766, 553, 269, 1323, 22968, 568, 513, 1826, 540, 7574, 2773, 1141, 11051, 2206, 3079, 540, 3717, 741, 3515, 269, 3509, 4583, 25803, 2429, 1686, 723, 2854, 1766, 553, 1759, 593, 17691, 267, 3140, 2621, 267, 610, 1256, 7357, 1500, 5346, 2984, 269, 2290, 971, 1383, 568, 9400, 25538, 1676, 781, 834, 305, 532, 18888, 2437, 799, 5161, 540, 2185, 5094, 1766, 553, 602, 2995, 606, 12473, 1650, 1927, 269, 901, 4783, 568, 1305, 538, 513, 1158, 2407, 540, 9589, 7919, 899, 23766, 267, 546, 8705, 1407, 267, 543, 15831, 525, 269, 3683, 922, 2185, 2694, 267, 621, 6645, 513, 1950, 9661, 540, 1379, 9620, 267, 20947, 267, 543, 25863, 1851, 1585, 3197, 6537, 689, 25245, 13299, 269, 4634, 1498, 713, 4992, 7168, 28531, 630, 663, 6148, 513, 3787, 14845, 1070, 7680, 606, 22968, 666, 581, 6909, 1317, 540, 922, 6264, 5036, 267, 14969, 24853, 267, 543, 3532, 13465, 780, 3086, 4952, 952, 649, 3576, 1346, 1482, 4798, 540, 2648, 267, 4655, 267, 543, 3347, 855, 5116, 873, 538, 513, 12863, 4259, 1765, 3697, 513, 1507, 2296, 4884, 1282, 519, 476, 3192, 271, 338, 269, 2334, 6770, 721, 547, 938, 2034, 12473, 281, 834, 763, 22374, 1230, 638, 3949, 2437, 676, 31075, 21142, 15718, 1188, 13118, 333, 269, 5502, 540, 1373, 4843, 607, 835, 1279, 4062, 267, 713, 1650, 2501, 538, 1614, 4130, 4249, 1765, 257, 8368, 631, 22395, 2437, 834, 29670, 8625, 2437, 543, 834, 305, 895, 543, 18471, 519, 12567, 257, 1765, 26421, 2519, 593, 1114, 3344, 540, 519, 1482, 15964, 1205, 12537, 5473, 3670, 3197, 269, 4014, 789, 1522, 3100, 20775, 693, 1101, 16145, 267, 950, 4810, 1394, 3562, 25746, 267, 789, 1711, 513, 3638, 13795, 3695, 7365, 6384, 267, 1102, 23474, 267, 3765, 23890, 267, 543, 2123, 2208, 269, 3807, 899, 538, 519, 23580, 18888, 267, 519, 3197, 3068, 2591, 267, 1451, 4245, 267, 543, 1995, 3929, 15322, 269, 1809, 7429, 25538, 1676, 781, 960, 267, 15718, 1188, 13118, 333, 3096, 9644, 543, 11541, 3871, 547, 4497, 9458, 780, 13828, 519, 23580, 18888, 543, 634, 22374, 1230, 638, 3949, 4001, 721, 3407, 4245, 827, 1480, 2470, 543, 519, 4539, 540, 3527, 269, 1635, 9306, 891, 6386, 998, 2789, 14501, 610, 6411, 267, 15888, 1450, 721, 547, 1831, 7184, 16539, 538, 519, 3197, 262, 2729, 543, 5660, 519, 3178, 540, 4664, 17814, 269, 6787, 621, 781, 1565, 827, 3504, 24587, 610, 28617, 2059, 609, 30096, 2943, 561, 990, 762, 2413, 5515, 267, 12473, 2984, 2709, 15138, 2833, 602, 4734, 9434, 24221, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 23330, 320, 267, 2575, 267, 14364, 267, 543, 1148, 538, 11968, 13353, 543, 3564, 454, 32207, 534, 267, 3733, 11146, 454, 19688, 476, 1789, 267, 476, 1220, 280, 454, 763, 5641, 540, 634, 22374, 1230, 638, 3949, 454, 20124, 281, 2494, 3241, 4498, 17427, 476, 1220, 280, 454, 2467, 568, 811, 982, 835, 3818, 6377, 8398, 21288, 26974, 3740, 2680, 2469, 593, 538, 1715, 3840, 1318, 1631, 269, 2755, 519, 27062, 28709, 568, 538, 519, 22984, 540, 741, 2864, 3207, 344, 25954, 540, 25538, 1676, 779, 23580, 18888, 267, 972, 568, 513, 2484, 811, 3078, 1804, 942, 7029, 2469, 593, 693, 519, 17781, 538, 519, 12384, 26308, 593, 476, 2004, 628, 9335, 269, 898, 781, 513, 1007, 2504, 540, 21142, 15718, 1188, 13118, 333, 779, 634, 22374, 1230, 638, 3949, 454, 267, 513, 3703, 1104, 689, 5507, 779, 6196, 30647, 26308, 602, 3322, 1614, 5094, 4249, 4881, 827, 476, 273, 543, 513, 3368, 3108, 1142, 910, 7305, 631, 22395, 454, 267, 12389, 8625, 454, 267, 543, 18471, 543, 18471, 519, 12567, 454, 269, 1548, 779, 1034, 4277, 568, 875, 1454, 634, 22374, 1230, 638, 3949, 454, 13757, 538, 1455, 609, 25538, 1676, 779, 23580, 18888, 538, 519, 1439, 269, 6936, 519, 23580, 568, 14869, 539, 538, 25245, 13299, 543, 1230, 638, 3949, 454, 529, 513, 476, 3192, 271, 338, 3023, 18792, 267, 855, 6382, 789, 7948, 1406, 581, 811, 2147, 269, 17859, 540, 9018, 23079, 267, 693, 741, 4295, 267, 1312, 1568, 616, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 17345, 5149, 281, 4197, 3776, 2383, 543, 11524, 998, 12267, 910, 1323, 16709, 540, 27239, 2349, 1460, 523, 781, 32532, 7240, 11470, 692, 8702, 547, 713, 3078, 1576, 1770, 1141, 649, 786, 7832, 593, 513, 3460, 883, 519, 1158, 540, 9423, 543, 1451, 875, 4589, 946, 741, 1378, 2833, 547, 1711, 9159, 8941, 602, 948, 721, 1732, 1174, 6000, 543, 1866, 269, 3776, 1445, 786, 581, 593, 519, 20636, 2278, 27239, 2349, 1460, 523, 267, 945, 5206, 896, 519, 4050, 2012, 1772, 752, 667, 1149, 523, 269, 2701, 568, 1134, 1634, 585, 1200, 17770, 7240, 5708, 267, 799, 1797, 1352, 1031, 2621, 689, 1200, 1272, 607, 6667, 585, 1200, 2984, 780, 8893, 476, 272, 281, 4985, 547, 27239, 2349, 1460, 523, 543, 32532, 7240, 11470, 454, 1103, 713, 3992, 267, 649, 786, 1205, 547, 917, 27239, 2349, 1460, 523, 543, 2263, 1946, 1352, 8359, 547, 2328, 1210, 1200, 2123, 2833, 269, 1284, 786, 1865, 519, 1523, 540, 17770, 7240, 5708, 543, 5635, 621, 547, 824, 3029, 540, 1603, 899, 29946, 543, 22808, 269, 3414, 1187, 2238, 543, 5717, 267, 596, 786, 3605, 519, 1379, 540, 7432, 1483, 3734, 2833, 883, 8903, 6386, 780, 8893, 476, 273, 281, 589, 1849, 29141, 6733, 693, 834, 11073, 540, 4000, 4840, 2171, 786, 4685, 4514, 883, 27239, 2349, 1460, 523, 781, 1034, 4583, 960, 267, 834, 11073, 540, 4000, 1701, 901, 1433, 6645, 519, 1650, 540, 2349, 1460, 523, 781, 942, 2713, 538, 15057, 543, 4881, 513, 6995, 24873, 269, 1306, 513, 1362, 267, 649, 786, 5659, 1883, 10207, 267, 7234, 4798, 971, 607, 2648, 267, 2530, 267, 543, 2686, 3604, 269, 8625, 267, 649, 786, 2992, 593, 875, 891, 2833, 1522, 723, 8032, 2349, 1460, 523, 781, 5133, 593, 1272, 780, 8893, 476, 274, 281, 29526, 543, 22569, 2044, 538, 27239, 2349, 1460, 523, 781, 3718, 454, 15228, 2513, 1143, 568, 950, 606, 2278, 3096, 3615, 610, 3197, 547, 2099, 7493, 2035, 610, 2093, 269, 769, 713, 3992, 267, 649, 786, 4983, 930, 540, 519, 6698, 543, 11052, 1336, 538, 2349, 1460, 523, 781, 1568, 269, 1635, 3695, 875, 1352, 18271, 891, 2553, 267, 596, 786, 2744, 513, 3152, 7071, 585, 519, 26274, 3297, 3532, 9423, 780, 8893, 476, 275, 281, 4045, 532, 609, 16992, 543, 4256, 30248, 454, 15124, 5830, 1450, 3988, 547, 1921, 7184, 609, 741, 3197, 543, 1745, 741, 4664, 269, 769, 713, 8400, 267, 649, 786, 5490, 883, 875, 2349, 1460, 523, 18705, 12300, 23233, 602, 13469, 609, 9458, 5001, 269, 4635, 32461, 689, 1200, 1568, 267, 649, 786, 2259, 7114, 1915, 7592, 543, 1620, 3929, 9095, 338, 780, 8893, 476, 276, 281, 14484, 532, 593, 3776, 13574, 22032, 998, 27884, 454, 3086, 602, 649, 723, 8268, 27239, 2349, 1460, 523, 781, 2189, 2511, 543, 4487, 995, 9423, 5759, 267, 621, 568, 942, 585, 721, 547, 4019, 1018, 649, 4312, 4121, 256, 769, 713, 3803, 3992, 267, 596, 786, 581, 9415, 547, 1589, 827, 707, 1378, 2833, 543, 2015, 875, 789, 1223, 8300, 513, 2110, 1650, 610, 14070, 4062, 269, 2060, 5583, 267, 596, 786, 2253, 26004, 707, 1360, 1378, 17770, 7240, 5708, 267, 15386, 707, 16012, 1983, 543, 5876, 2439, 3528, 519, 1439, 540, 713, 1576, 1770, 267, 596, 786, 711, 1152, 723, 6591, 5813, 883, 519, 4241, 1158, 540, 27239, 2349, 1460, 523, 781, 17770, 7240, 5708, 855, 786, 849, 4865, 2645, 547, 2263, 707, 1378, 2833, 21176, 543, 2769, 1947, 269, 1924, 10544, 707, 23445, 267, 1930, 707, 8186, 267, 543, 1577, 781, 7832, 593, 713, 13858, 7045, 1927, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 24145, 1155, 6030, 616, 827, 1079, 1919, 281, 2542, 543, 1603, 827, 1018, 596, 4076, 1224, 269, 1280, 1034, 1053, 267, 621, 779, 2182, 2614, 547, 1174, 1390, 4773, 540, 3332, 267, 2760, 2247, 7421, 873, 269, 1656, 609, 865, 1082, 2835, 543, 2984, 856, 972, 267, 7446, 835, 547, 2328, 827, 666, 581, 513, 25287, 563, 5978, 12665, 786, 2328, 513, 2688, 1557, 593, 1022, 1888, 585, 454, 3719, 596, 2461, 538, 9939, 2336, 1607, 2376, 676, 938, 11426, 5675, 3028, 4966, 6799, 513, 1592, 540, 519, 1034, 4277, 543, 3860, 5339, 2079, 3584, 269, 3958, 267, 596, 786, 1265, 1934, 912, 268, 5363, 1557, 12987, 3248, 268, 513, 1603, 3391, 609, 2241, 4388, 3248, 268, 513, 5339, 2079, 1383, 563, 1607, 3102, 2376, 666, 581, 5363, 711, 1152, 585, 6280, 610, 2852, 1053, 855, 849, 547, 1053, 540, 1164, 543, 1647, 1153, 563, 6930, 498, 507, 5440, 476, 1015, 9085, 4828, 11762, 585, 4400, 3427, 454, 268, 634, 1909, 540, 4984, 538, 3751, 3231, 454, 268, 22447, 13513, 538, 5617, 3437, 454, 268, 1772, 972, 4008, 8635, 538, 594, 2993, 611, 888, 268, 4317, 2152, 540, 634, 9741, 26969, 21756, 454, 268, 13834, 5107, 538, 634, 4279, 30056, 454, 268, 29975, 281, 2351, 328, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 16337, 1315, 2622, 9085, 1315, 16862, 1315, 27239, 2349, 1460, 523, 781, 32532, 7240, 11470, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 1262, 31572, 2659, 24156, 549, 2041, 281, 589, 18043, 6651, 585, 6468, 4373, 5556, 17894, 593, 2921, 519, 1101, 1900, 2509, 12180, 707, 20758, 549, 2041, 256, 901, 5850, 568, 2966, 547, 3391, 596, 998, 1169, 2460, 540, 5883, 707, 9660, 267, 689, 1620, 1018, 513, 20758, 549, 2041, 568, 547, 2870, 513, 10531, 1062, 602, 1568, 1655, 585, 596, 780, 1262, 3721, 476, 272, 281, 4197, 1548, 513, 24156, 549, 2041, 1772, 4373, 288, 20758, 549, 2041, 4016, 547, 513, 4015, 540, 7802, 3688, 267, 10887, 267, 17960, 267, 543, 824, 2123, 28378, 1031, 547, 1711, 856, 22327, 585, 1585, 14026, 269, 898, 781, 1898, 547, 1174, 602, 513, 20758, 549, 2041, 568, 711, 1175, 827, 2348, 6266, 540, 9660, 855, 849, 827, 6616, 875, 547, 1416, 585, 873, 267, 3575, 7146, 2173, 2255, 4773, 267, 543, 1118, 18532, 11449, 3664, 780, 2414, 2253, 267, 12398, 519, 1858, 1141, 596, 4558, 707, 9660, 269, 901, 1522, 581, 513, 5008, 564, 267, 10571, 518, 267, 610, 6186, 334, 790, 538, 707, 1753, 269, 6875, 4063, 540, 519, 2230, 2139, 543, 519, 2010, 540, 4859, 11149, 1459, 630, 324, 3052, 1421, 21684, 267, 2721, 619, 267, 554, 13377, 6393, 1262, 16498, 19983, 5093, 12532, 547, 519, 11280, 4859, 1858, 267, 1930, 1022, 9885, 610, 2721, 619, 267, 543, 1491, 6006, 540, 519, 9115, 780, 1262, 14549, 19983, 5093, 1411, 949, 991, 547, 2170, 609, 1920, 2818, 610, 887, 2174, 919, 952, 596, 2671, 513 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 10821, 3292, 5356, 1472, 7308, 12641, 1442, 15569, 543, 1489, 269, 1280, 1383, 267, 8766, 1981, 1374, 725, 3335, 23626, 20343, 693, 667, 21397, 11485, 4065, 7886, 6322, 693, 5009, 3743, 3375, 6194, 543, 4227, 2104, 9525, 538, 15176, 6117, 13685, 269, 769, 4334, 267, 9793, 1981, 28944, 2356, 2154, 3811, 12032, 540, 1312, 3872, 13838, 543, 2038, 6304, 5752, 267, 799, 16621, 2609, 540, 13508, 267, 5578, 20671, 5751, 267, 543, 9263, 1895, 4205, 5497, 547, 24772, 12003, 2200, 543, 26739, 6604, 2994, 780, 6524, 25759, 938, 4901, 540, 6219, 6057, 2126, 1369, 519, 2796, 540, 667, 21397, 20241, 267, 621, 4667, 17501, 547, 2232, 930, 4207, 7835, 5935, 519, 5251, 540, 4791, 2259, 538, 713, 6389, 269, 2290, 8037, 7678, 3322, 5610, 540, 2029, 29374, 7459, 267, 971, 607, 16335, 3156, 543, 2228, 5867, 267, 883, 2757, 3028, 6765, 3631, 269, 6270, 10124, 3180, 9153, 585, 9750, 1569, 547, 1416, 267, 7393, 3461, 6278, 267, 543, 5464, 3356, 4724, 2126, 3853, 1107, 782, 4105, 9270, 950, 20678, 547, 11126, 4093, 585, 2043, 10188, 1950, 6051, 15322, 269, 3958, 267, 972, 6818, 3395, 6284, 540, 519, 2956, 540, 2686, 28671, 543, 8194, 26455, 4485, 538, 26655, 4791, 13341, 267, 4180, 602, 9439, 4865, 1270, 15363, 1702, 543, 8417, 2556, 585, 2502, 3309, 7817, 25279, 7680, 16221, 2591, 3564, 6071, 6219, 946, 829, 694, 780, 1103, 5758, 267, 713, 1576, 1770, 814, 25139, 519, 15491, 2470, 540, 6219, 6057, 2126, 607, 30833, 998, 667, 21397, 20241, 543, 741, 7390, 656, 29298, 585, 5480, 8741, 1431, 543, 6117, 17979, 9993, 269, 1284, 723, 8268, 1585, 3334, 16030, 891, 10526, 267, 1519, 6662, 4152, 267, 645, 3722, 9382, 267, 6117, 2594, 8039, 267, 543, 2123, 11042, 267, 10771, 741, 7104, 10626, 538, 10451, 5483, 7840, 3358, 547, 2743, 2189, 1367, 2115, 269, 5047, 267, 649, 723, 12006, 6932, 4798, 18363, 519, 11865, 540, 6219, 6057, 5574, 267, 16113, 6639, 7760, 543, 15520, 17841, 2853, 267, 25967, 1681, 519, 6422, 4720, 540, 713, 7524, 1858, 540, 1514, 960, 14172, 543, 9299, 343, 529, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 30948, 2659, 13660, 328, 16214, 9980, 5661, 454, 2839, 9391, 8039, 2185, 1114, 1919, 1282, 707, 667, 21397, 6268, 281, 707, 20638, 4530, 6060, 543, 7121, 267, 707, 1973, 4568, 1543, 1449, 2164, 267, 707, 6117, 1686, 267, 543, 513, 5618, 5967, 2016, 693, 519, 6268, 269, 634, 5967, 786, 581, 827, 707, 3075, 543, 4568, 946, 543, 786, 581, 13761, 1996, 519, 824, 12649, 3688, 543, 7654, 824, 2959, 269, 769, 519, 1439, 267, 789, 786, 1287, 2285, 513, 16252, 547, 519, 7040, 610, 8433, 540, 519, 14199, 540, 3557, 7282, 707, 2366, 9760, 543, 6117, 22864, 269, 1411, 949, 849, 581, 4280, 547, 1683, 513, 10729, 3732, 693, 519, 942, 540, 519, 6268, 563, 763, 2185, 7840, 543, 1018, 789, 1611, 616, 912, 268, 3687, 2711, 1981, 281, 519, 15034, 13514, 513, 8766, 3463, 593, 519, 4155, 543, 2115, 547, 2347, 513, 5934, 540, 4557, 3108, 540, 667, 21397, 11485, 4065, 563, 268, 3525, 4733, 1981, 281, 519, 15034, 1590, 2347, 513, 5934, 540, 476, 1015, 3108, 540, 667, 21397, 11485, 4065, 543, 513, 5934, 540, 476, 1321, 3108, 540, 2038, 6304, 269, 634, 2038, 6304, 1590, 2049, 936, 513, 5934, 540, 2185, 4374, 609, 1100, 811, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 27802, 766, 18816, 9615, 257, 607, 851, 540, 834, 24719, 13316, 1315, 4317, 4518, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 15510, 5741, 687, 281, 4197, 519, 8892, 540, 5274, 5081, 7724, 692, 20779, 2762, 267, 519, 3621, 1353, 540, 1480, 5095, 267, 3322, 519, 2079, 540, 1585, 3334, 971, 607, 12680, 267, 9019, 267, 9194, 267, 543, 741, 5222, 593, 2551, 2208, 543, 2497, 269, 2290, 2565, 2460, 540, 15295, 2079, 568, 1788, 532, 2104, 2551, 7306, 543, 3889, 1759, 593, 891, 3334, 269, 901, 3184, 12538, 883, 519, 1523, 540, 2551, 20327, 1369, 519, 2796, 540, 1629, 2762, 780, 296, 269, 20223, 15510, 5741, 687, 692, 4263, 922, 4295, 267, 2551, 16879, 4016, 547, 519, 16759, 540, 513, 2551, 781, 2450, 543, 5888, 693, 930, 1448, 538, 519, 2104, 267, 2016, 1808, 10054, 827, 12680, 267, 9019, 267, 543, 9194, 3928, 269, 1452, 9193, 948, 14519, 267, 3173, 267, 543, 24990, 18783, 543, 5965, 585, 1761, 6848, 2242, 16109, 689, 10593, 538, 2551, 6384, 269, 898, 568, 1898, 547, 1174, 602, 2551, 20327, 616, 711, 17046, 11236, 282, 2864, 267, 789, 2099, 2009, 7653, 20314, 550, 2390, 1880, 5036, 540, 10054, 780, 2862, 269, 4578, 21976, 543, 6396, 1670, 22604, 692, 16914, 23847, 2551, 20327, 28173, 6325, 1239, 2959, 13830, 2250, 543, 4207, 3466, 538, 4105, 7194, 630, 325, 19910, 267, 9019, 267, 543, 9194, 1040, 15380, 267, 1629, 20802, 2308, 6310, 3631, 27137, 607, 20165, 5057, 2409, 267, 1617, 626, 720, 3631, 267, 610, 2203, 1272, 7515, 23121, 5352, 20327, 1759, 593, 3140, 3270, 543, 10924, 2104, 24551, 269, 3962, 1935, 3091, 3982, 5383, 4470, 593, 519, 8244, 543, 2298, 540, 1239, 267, 5551, 2157, 540, 6988, 267, 543, 12985, 2200, 780, 7656, 269, 22020, 540, 15510, 7827, 281, 674, 19910, 267, 18200, 1275, 267, 543, 24779, 692, 288, 269, 674, 19910, 454, 293, 19910, 4564, 519, 1297, 540, 2661, 24570, 829, 4807, 1282, 1200, 10285, 1296, 269, 15448, 538, 12680, 723, 7096, 6286, 585, 2551, 2208, 543, 2085, 2497, 269, 1280, 3236, 267, 23229, 538, 12680, 666, 1291, 547, 10172, 5095, 267, 16756, 532, 4074, 4229, 267, 543, 2799, 21341, 12753, 269, 17957, 267, 1164, 12680, 949, 1267, 538, 4028, 2551, 7269, 267, 2269, 1456, 5989, 543, 2067, 2200, 780, 289, 269, 18200, 1275, 454, 300, 677, 1275, 25701, 547, 519, 1981, 540, 12955, 693, 1114, 6502, 269, 25790, 538, 3782, 267, 19455, 267, 6484, 267, 2069, 267, 543, 2029, 3565, 547, 11081, 538, 9019, 3928, 267, 3056, 547, 3476, 12468, 335, 753, 543, 12012, 2551, 26829, 269, 1717, 267, 6932, 2591, 899, 2916, 1689, 267, 15084, 4187, 267, 543, 2790, 1072, 16839, 1223, 9258, 12374, 1500, 538, 4227, 16349, 7972, 780, 290, 269, 24779, 454, 300, 12568, 13315, 1312, 4835, 5322, 1369, 2477, 543, 3486, 882, 23148, 2066, 3084, 10665, 269, 1306, 513, 24572, 540, 2551, 3892, 543, 5888, 267, 9194, 5546, 2686, 4763, 267, 4074, 6990, 267, 20012, 3270, 267, 543, 2797, 8916, 269, 5047, 267, 27436, 8928, 1419, 12969, 609, 2518, 2152, 971, 607, 7142, 12761, 267, 21345, 16839, 267, 543, 2634, 8963, 780, 4353, 269, 7351, 12367, 543, 7464, 21509, 6201, 692, 13146, 15295, 7835, 5031, 519, 4644, 540, 2551, 20327, 538, 26655, 3609, 3664, 543, 1857, 11407, 269, 2368, 32330, 3466, 1331, 1384, 272, 269, 28544, 5095, 910, 3509, 4853, 1242, 6082, 3068, 6385, 10172, 7239, 1813, 547, 13455, 1970, 12680, 3928, 543, 2810, 15325, 269, 3567, 267, 7977, 267, 543, 5125, 12013, 1518, 713, 7613, 267, 21679, 609, 8375, 3782, 3790, 267, 27404, 24675, 267, 543, 13781, 22520, 563, 273, 269, 12124, 1436, 910, 21826, 4683, 2208, 1915, 3278, 3384, 4525, 267, 3226, 1016, 25781, 4000, 543, 5607, 269, 1635, 476, 13078, 271, 267, 519, 2136, 8315, 25221, 602, 5176, 1079, 22188, 540, 519, 1158, 781, 11317, 786, 21078, 538, 4872, 267, 9306, 3255, 543, 2591, 1644, 547, 8027, 267, 6283, 267, 7694, 267, 543, 2825, 6940, 563, 274, 269, 3162, 9539, 2180, 9194, 910, 6431, 11962, 14227, 13103, 5397, 1804, 8397, 4955, 5928, 689, 6820, 3162, 547, 3345, 269, 2342, 15359, 1206, 20387, 12503, 2404, 609, 12150, 11776, 267, 8473, 1852, 267, 5610, 4507, 267, 543, 30542, 22785, 269, 6684, 267, 519, 2136, 2276, 22617, 956, 609, 9840, 4478, 11776, 6963, 267, 14134, 619, 262, 2924, 267, 543, 1920, 9668, 2853, 780, 309, 269, 14484, 532, 593, 19078, 19047, 692, 19061, 532, 2104, 5095, 12651, 5683, 2055, 7282, 4199, 14305, 267, 9698, 267, 543, 5126, 269, 1280, 1383, 267, 875, 1058, 3908, 2200, 581, 7856, 1063, 10172, 5095, 543, 7820, 5481, 286, 1215, 798, 649, 3666, 12721, 4690, 3823, 11776, 3609, 9624, 20849, 6386, 1472, 3084, 3961, 267, 3354, 267, 543, 8296, 286, 12056, 538, 15826, 18064, 3130, 1472, 891, 4145, 6087, 721, 547, 6536, 8537, 267, 4264, 2950, 5827, 540, 10188, 1950, 15295, 14759, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 1153, 540, 13898, 543, 4317, 568, 513, 3450, 543, 1382, 1770, 540, 700, 11961, 17924, 2160, 543, 621, 729, 3964, 538, 476, 3192, 279, 538, 519, 2012, 540, 20513, 540, 13898, 269, 769, 476, 1960, 277, 267, 519, 20614, 540, 15257, 729, 1305, 909, 538, 519, 12200, 16310, 540, 6138, 543, 972, 1575, 517, 4957, 922, 2012, 883, 20513, 540, 13898, 543, 4317, 269, 769, 5147, 267, 476, 1220, 275, 267, 519, 12200, 729, 18175, 24612, 547, 1153, 1377, 543, 26948, 607, 1153, 540, 6138, 543, 15257, 269, 2311, 1459, 267, 519, 1153, 814, 1079, 32258, 267, 13898, 543, 24205, 538, 15938, 1377, 543, 3670, 32112, 538, 4487, 1377, 1851, 799, 2185, 1382, 32112, 538, 6138, 552, 3052, 269, 4457, 6138, 267, 31767, 13898, 267, 14579, 13898, 543, 13898, 540, 3163, 543, 5303, 1247, 1079, 32112, 538, 15257, 552, 3052, 269, 24205, 543, 5915, 2762, 269, 14755, 267, 972, 616, 1079, 1382, 7740, 267, 4741, 585, 4317, 10495, 543, 6468, 781, 13834, 3194, 4741, 543, 835, 4081, 20576, 602, 568, 9743, 3482, 540, 9099, 9177, 2090, 269, 634, 1153, 14747, 606, 2804, 543, 1514, 4760, 267, 968, 306, 857, 523, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 16954, 1637, 5741, 687, 257, 607, 851, 540, 834, 24719, 13316, 1315, 5915, 2762, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 595, 10984, 923, 543, 8000, 6670, 910, 634, 3203, 540, 1744, 12686, 22110, 883, 23398, 543, 5463, 20753, 27014, 692, 4089, 476, 272, 281, 4197, 595, 10984, 923, 543, 8000, 6670, 692, 4263, 922, 4295, 267, 23907, 4016, 547, 519, 1148, 543, 23477, 540, 2870, 3615, 676, 8022, 543, 9023, 10036, 269, 901, 1184, 3322, 5935, 6151, 10036, 883, 1585, 3029, 267, 971, 607, 17428, 267, 642, 1162, 267, 10824, 267, 19562, 1149, 267, 543, 1256, 2679, 2326, 269, 4495, 8032, 267, 519, 10036, 1843, 25457, 513, 7004, 3842, 20590, 693, 1164, 5210, 267, 4611, 538, 513, 14463, 543, 2182, 1570, 1572, 17375, 780, 22025, 6670, 4564, 513, 1713, 15410, 1369, 519, 7706, 540, 23907, 269, 898, 4481, 6212, 593, 8108, 17860, 8043, 1210, 1071, 4979, 267, 28973, 4070, 267, 610, 8868, 18530, 2553, 269, 10801, 1686, 267, 20341, 814, 1044, 1898, 585, 6198, 5301, 1765, 25988, 4859, 267, 7041, 267, 543, 7674, 282, 6283, 540, 5370, 282, 543, 11265, 3096, 269, 4653, 267, 20341, 3788, 4143, 1813, 547, 1312, 4052, 3156, 543, 7499, 4082, 780, 4089, 476, 273, 281, 9537, 540, 22110, 543, 4256, 16544, 692, 2467, 2291, 2185, 3119, 6688, 540, 10036, 1031, 538, 23907, 543, 20341, 281, 552, 691, 1156, 2264, 267, 6149, 2264, 267, 28028, 267, 543, 3440, 10036, 269, 3962, 1826, 19646, 2189, 3601, 14018, 585, 1808, 3785, 780, 288, 269, 661, 691, 1156, 2264, 454, 292, 691, 1156, 2264, 804, 904, 3595, 693, 5266, 1970, 5210, 267, 3335, 1063, 476, 31405, 9180, 543, 476, 12893, 271, 9180, 269, 1306, 513, 1267, 267, 713, 1826, 540, 10036, 3788, 5594, 24338 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18975, 693, 519, 18975, 540, 5507, 269, 634, 21495, 7038, 539, 8436, 454, 2026, 585, 519, 8701, 7703, 267, 621, 729, 513, 1459, 689, 519, 3751, 540, 16157, 538, 476, 10219, 273, 269, 4014, 18665, 3960, 1194, 543, 5832, 539, 267, 621, 729, 4847, 547, 7669, 538, 519, 774, 1868, 563, 5472, 519, 7068, 941, 6854, 693, 519, 18975, 540, 5507, 781, 2367, 4526, 773, 267, 799, 4797, 547, 11457, 936, 519, 5756, 563, 2005, 6368, 6806, 538, 519, 476, 8146, 271, 338, 267, 1310, 5507, 25089, 8118, 563, 24730, 8633, 781, 1750, 29609, 729, 519, 1267, 540, 513, 10325, 598, 1723, 551, 539, 676, 11184, 6723, 28522, 582, 910, 513, 9972, 7810, 23070, 538, 3127, 910, 538, 476, 12293, 275, 563, 3891, 2366, 519, 13442, 547, 6628, 538, 519, 4126, 540, 10888, 12797, 609, 519, 16313, 563, 2691, 646, 729, 4843, 609, 7323, 808, 10154, 267, 6723, 729, 2451, 796, 11069, 5962, 543, 865, 1352, 729, 2016, 547, 1010, 23013, 267, 519, 16099, 540, 595, 3784, 1633, 563, 3891, 6854, 1200, 538, 513, 2367, 4526, 773, 538, 6489, 7717, 4279, 5244, 267, 1354, 1352, 729, 6410, 547, 519, 18975, 540, 5507, 543, 5030, 585, 1472, 5722, 1296, 563, 763, 16099, 540, 595, 3784, 1633, 1185, 7620, 6836, 547, 1205, 7323, 808, 10154, 547, 29677, 513, 588, 698, 267, 855, 1352, 729, 1932, 19225, 2989, 543, 3079, 10443, 1055, 563, 3719, 28522, 582, 3893, 9976, 18048, 6723, 853, 889, 2125, 547, 29428, 519, 2680, 538, 1010, 4583, 7206, 267, 4258, 29609, 543, 853, 698, 267, 799, 568, 10268, 693, 519, 25480, 3203, 20155, 563, 1103, 476, 9264, 278, 267, 950, 6723, 10001, 1185, 6368, 16309, 1010, 4651, 538, 476, 9264, 271, 1310, 15194, 607, 13584, 3204, 550, 585, 8370, 1296, 267, 519, 16368, 30647, 518, 1195, 540, 5527, 2366, 30539, 742, 525, 607, 13344, 547, 1864, 267, 3751, 8176, 2473, 540, 5333, 543, 30686, 4083, 540, 15212, 563, 763, 2831, 616, 5156, 547, 723, 1044, 3368, 1606, 15269, 267, 2348, 1044, 9676, 607, 1608, 1407, 538, 519, 715, 889, 1014, 19164, 538, 1472, 476, 9264, 277, 563, 21914, 6723, 781, 30539, 11738, 729, 16957, 569, 3144, 547, 6628, 513, 6928, 602 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4928, 1265, 713, 8930, 543, 811, 593, 32059, 7005, 676, 795, 3317, 604, 699, 3700, 269, 11120, 7748, 781, 7819, 10952, 7681, 3948, 540, 4274, 13618, 593, 2565, 3206, 519, 3670, 4295, 2565, 3206, 1983, 2687, 547, 519, 4966, 616, 15545, 10341, 547, 2628, 519, 12014, 476, 7176, 1966, 6061, 543, 2565, 3206, 3025, 2833, 2042, 689, 942, 547, 942, 930, 540, 938, 2042, 616, 2462, 543, 7294, 267, 1247, 563, 1607, 1576, 6227, 875, 547, 3986, 2565, 3206, 1983, 543, 8086, 538, 1022, 8808, 4259, 2565, 3206, 4294, 547, 1483, 12016, 2152, 563, 27287, 3206, 4879, 2259, 7688, 533, 513, 575, 552, 1923, 476, 272, 713, 2259, 1449, 568, 2966, 547, 948, 596, 4137, 856, 875, 1454, 596, 917, 827, 2565, 6253, 9722, 1983, 269, 476, 1015, 2565, 3206, 543, 4791, 7744, 1282, 519, 1554, 267, 11923, 946, 2565, 3206, 1983, 543, 4791, 556, 320, 1606, 11238, 547, 1118, 21520, 827, 513, 7817, 779, 1416, 563, 27287, 3206, 1983, 2565, 3206, 1983, 616, 606, 7533, 851, 540, 1312, 689, 1035, 551, 476, 22213, 272, 693, 552, 3164, 560, 6280, 610, 1633, 334, 13464, 269, 2480, 515, 742, 518, 543, 6299, 523, 26709, 1865, 2565, 3206, 6208, 543, 2565, 3206, 1983, 585, 1142, 540, 519, 2565, 3206, 1983, 3254, 2630, 267, 789, 2285, 513, 1297, 540, 2534, 6898, 269, 1299, 533, 4954, 267, 476, 1220, 278, 267, 533, 476, 272, 264, 2565, 3206, 814, 849, 1044, 5219, 547, 607, 1558, 659, 10744, 630, 31184, 11253, 541, 267, 476, 1220, 277, 264, 547, 3095, 2565, 3206, 1983, 547, 1543, 269, 3367, 519, 5767, 4930, 540, 3206, 1983, 543, 5876, 693, 519, 1198, 540, 5985, 1966, 2861, 1565, 3498, 546, 923, 7220, 533, 4565, 593, 1053, 685, 2565, 3206, 6185, 5877 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5555, 7608, 1978, 3344, 540, 519, 6069, 11156, 1310, 17516, 598, 947, 687, 6322, 693, 8497, 20563, 781, 10409, 6561, 543, 3909, 22624, 780, 763, 7521, 4478, 1476, 539, 3130, 6905, 3564, 1164, 6214, 543, 883, 2486, 3294, 269, 3509, 8723, 1004, 538, 20563, 4371, 2620, 31681, 827, 11836, 513, 1007, 4182, 13856, 676, 2296, 10529, 269, 1358, 21787, 602, 741, 1893, 267, 2528, 267, 543, 1259, 540, 1272, 1131, 581, 7449, 25390, 896, 606, 17454, 268, 3682, 11687, 656, 5354, 269, 1452, 4145, 941, 711, 7357, 7938, 1551, 5896, 282, 4550, 6363, 3402, 18941, 1705, 2291, 1851, 930, 2296, 23671, 267, 945, 9763, 7826, 8071, 2684, 2158, 607, 17071, 543, 8179, 547, 20818, 741, 1378, 2418, 2390, 873, 269, 11048, 267, 18793, 540, 1476, 539, 3130, 9738, 602, 513, 8087, 4516, 6035, 3152, 3255, 585, 2804, 2208, 543, 1514, 3356, 982, 4797, 9668, 780, 24137, 4464, 547, 1459, 6377, 20563, 267, 543, 1082, 540, 519, 1482, 2152, 2611, 4143, 269, 5999, 1472, 3084, 3961, 267, 10409, 2924, 267, 543, 6237, 13190, 3136, 547, 3337, 6581, 2041, 1723, 529, 6214, 543, 2486, 269, 1280, 3236, 267, 519, 5571, 7521, 936, 9291, 476, 2641, 30147, 10238, 1080, 1857, 22063, 689, 9849, 3909, 6698, 1765, 14683, 7547, 519, 8082, 1063, 1367, 23118, 543, 7104, 2418, 538, 20563, 269, 6684, 267, 5322, 899, 519, 3487, 328, 2372, 2946, 321, 2946, 1723, 529, 262, 7903, 585, 7115, 2992, 11972, 32370, 827, 8497, 20563, 781, 2189, 1915, 1369, 513, 3677, 10480, 3130, 269, 1635, 6313, 519, 32700, 13891, 919, 540, 519, 476, 5908, 271, 338, 998, 519, 7828, 540, 6581, 2041, 1723, 529, 5380, 267, 649, 666, 1732, 1174, 4207, 27964, 4478, 3961, 267, 4763, 267, 543, 10362, 538, 1312, 20563, 543, 4516, 607, 513, 2898, 780, 1103, 3932, 267, 519, 32700, 13891, 919, 540, 519, 476, 5908, 271, 338, 6825, 513, 11358, 4090, 538, 8225, 1686, 267, 3226, 585, 20563, 269, 22955, 899, 6723, 268, 32723, 339, 1329, 928, 14295, 1512, 543, 4165, 334, 710, 5025, 574, 2946, 16910, 542, 22993, 15852, 22649, 585, 519, 2104, 540, 741, 11662, 543, 2197, 267, 2502, 538, 3303, 1243, 9840, 602, 6038, 8507, 538, 519, 5137, 540, 519, 18067, 542, 540, 4516, 538, 476, 5908, 278, 269, 4256, 12721, 6386, 22113, 15851, 2055, 827, 13326, 9322, 543, 4763, 267, 1379, 543, 6041, 267, 543, 2245, 543, 5647, 1765, 638, 5465, 602, 13469, 7184, 609, 2413, 6377, 23671, 543, 4196, 607, 4105, 23106, 540, 938, 3838, 2250, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 265, 27237, 292, 281, 901, 31687, 788, 560, 1389, 568, 3767, 1849, 2216, 20330, 5978, 4832, 476, 1001, 278, 3390, 568, 13166, 593, 3377, 1056, 338, 267, 543, 649, 2811, 865, 9599, 547, 2709, 938, 3988, 513, 4960, 547, 3094, 513, 5299, 540, 519, 1007, 3390, 9896, 676, 5842, 12770, 16902, 1218, 6345, 28865, 623, 775, 543, 13334, 781, 2913, 781, 5192, 22858, 328, 781, 5981, 529, 3213, 345, 558, 2513, 573, 529, 1107, 945, 723, 741, 16806, 12286, 538, 519, 12139, 1107, 7132, 513, 11831, 335, 1046, 18671, 788, 29251, 2434, 539, 29600, 17198, 540, 11083, 261, 307, 5244, 538, 5842, 12770, 267, 4993, 563, 9596, 811, 827, 11831, 335, 1046, 18671, 788, 29251, 538, 938, 4832, 476, 1001, 278, 3390, 267, 543, 1224, 782, 827, 28865, 623, 775, 543, 5981, 529, 3213, 345, 558, 2513, 573, 529, 262, 2462, 1554, 1107, 543, 1294, 811, 6337, 256, 1107, 540, 741, 9589, 16008, 543, 21200, 538, 519, 5767, 7160, 540, 18738, 11205, 26204, 563, 2108, 295, 7419, 9898, 623, 9970, 1341, 700, 4953, 24912, 717, 4953, 700, 13052, 296, 892, 17335, 7417, 303, 4306, 288, 298, 2464, 10396, 7711, 27486, 2839, 11246, 3633, 291, 5058, 306, 454, 17472, 623, 7838, 6224, 17955, 10758, 13698, 312, 16774, 715, 4488, 8577, 14473, 9215, 13673, 9898, 10758, 654, 2562, 267, 715, 3036, 654, 21135, 589, 623, 7838, 6224, 17955, 29313, 4629, 12717, 21450, 24912, 8863, 3198, 290, 2464, 5508, 654, 2562, 301, 5058, 563, 272, 269, 9501, 2177, 306, 3036, 543, 623, 6020, 30438, 11550, 4668, 2207, 281, 5617, 548, 9012, 630, 291, 10621, 18738, 11205, 26204, 1070, 4092, 693, 476, 278, 1556, 280, 654, 269, 6129, 3553, 25376, 4582, 731, 1948, 2004, 279, 267, 11968, 13353, 267, 11404, 476, 12010, 5379, 9497, 8967, 976, 528, 257, 1916, 273, 269, 20700, 5456, 29368, 6579, 14510, 281, 1677, 581, 14718, 585, 519, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 25886, 1315, 4516, 1315, 28393, 1017, 267, 17197, 3645, 1299, 10871, 1315, 20563, 630, 304, 290, 264, 1315, 32700, 13891, 919, 630, 5908, 271, 338, 1040, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 4197, 519, 19088, 673, 543, 8466, 19043, 540, 11866, 998, 519, 30776, 540, 834, 30560, 4802, 281, 634, 14730, 23548, 25751, 5016, 296, 269, 4985, 692, 3674, 4133, 723, 1279, 1044, 695, 709, 4765, 538, 9814, 543, 26675, 267, 1419, 7674, 607, 5468, 585, 26704, 8941, 543, 3140, 6386, 269, 769, 713, 1576, 1770, 267, 649, 786, 2263, 519, 1523, 540, 10195, 543, 2895, 25100, 31310, 998, 519, 7828, 540, 519, 3209, 834, 30560, 4802, 281, 634, 14730, 23548, 25751, 2437, 799, 2934, 519, 14070, 6532, 540, 6628, 1282, 519, 2038, 1296, 540, 3751, 14880, 781, 12081, 269, 1635, 6313, 519, 1909, 540, 11585, 267, 2528, 267, 6214, 267, 543, 4655, 538, 713, 960, 540, 5708, 267, 649, 786, 2744, 4030, 883, 875, 10195, 723, 13840, 1599, 539, 607, 2189, 5624, 602, 3337, 519, 2729, 540, 741, 11317, 780, 2862, 269, 2983, 7240, 17972, 543, 18567, 540, 11866, 692, 2304, 6532, 568, 3989, 607, 513, 4062, 540, 1016, 11666, 1581, 2244, 602, 568, 11303, 7357, 676, 1216, 269, 901, 4214, 13315, 1312, 2582, 10195, 899, 4279, 6628, 543, 2895, 25100, 31310, 971, 607, 519, 5259, 1772, 956, 610, 519, 12144, 269, 634, 2168, 4162, 540, 10195, 267, 1519, 2450, 267, 27177, 267, 2916, 267, 543, 9265, 267, 1404, 513, 1713, 1909, 538, 8159, 741, 2686, 543, 2797, 1646, 269, 1280, 1383, 267, 538, 834, 30560, 4802, 281, 634, 14730, 23548, 25751, 2437, 519, 6532, 540, 6628, 568, 13269, 607, 2348, 10053, 7733, 267, 27726, 14099, 267, 543, 3309, 7320, 267, 782, 540, 799, 10460, 2591, 585, 922, 11317, 543, 3565, 547, 519, 2631, 540, 10072, 543, 13438, 789, 1995, 780, 7656, 269, 8836, 14740, 543, 6184, 983, 640, 692, 11900, 983, 640, 4016, 547, 519, 12402, 540, 6532, 2950, 547, 1020, 3982, 2686, 9163, 1813, 547, 741, 13664, 9668, 689, 22163, 5095, 269, 3683, 942, 267, 891, 1202, 983, 4529, 666, 1831, 3810, 7463, 267, 3384, 2189, 5389, 267, 4654, 267, 543, 9821, 269, 769, 834, 30560, 4802, 281, 634, 14730, 23548, 25751, 2437, 519, 6532, 540, 6628, 568, 17814, 607, 2348, 513, 3638, 2686, 6561, 12082, 538, 22469, 543, 4936, 7506, 267, 10452, 519, 3140, 4641, 540, 2022, 7304, 2674, 6628, 269, 1717, 267, 519, 6532, 781, 1202, 983, 640, 849, 8309, 547, 519, 11944, 540, 15180, 25267, 543, 1379, 9620, 267, 10223, 519, 1761, 19363, 540, 2686, 4763, 1369, 1507, 13664, 2127, 780, 4353, 269, 11572, 23113, 543, 5295, 18868, 692, 763, 2797, 3889, 540, 10195, 4268, 4922, 4470, 593, 2188, 971, 607, 2450, 267, 2551, 5860, 267, 543, 4199, 8244, 269, 9540, 518, 10195, 949, 581, 18170, 676, 513, 2582, 14610, 267, 1247, 3677, 3283, 949, 2874, 540, 2789, 11182, 6417, 676, 1114, 3401, 269, 769, 834, 30560, 4802, 281, 634, 14730, 23548, 25751, 2437, 519, 6532, 540, 6628, 568, 5258, 883, 1896, 21535, 532, 25267, 642, 3539, 585, 1852, 896, 519, 22194, 5718, 540, 4400, 3751, 14880, 269, 1452, 4835, 7526, 1711, 3255, 585, 5007, 6937, 267, 971, 607, 519, 7952, 540, 941, 342, 11510, 5018, 538, 519, 1433, 781, 5348, 18462, 267, 2417, 635, 2364, 908, 6927, 780, 309, 269, 18366, 543, 16470, 11150, 692, 18814, 547, 741, 3908, 2200, 543, 13664, 10148, 267, 10195, 723, 4749, 5185, 16650, 6937, 2429, 1686, 269, 1306, 513, 1267, 267, 1082, 6532, 7239, 723, 2919, 10427, 8878, 2994, 2966, 547, 2149, 1996, 12289, 543, 2226, 16285, 269, 769, 834, 30560, 4802, 281, 634, 14730, 23548, 25751, 2437, 519, 3197, 20920, 609, 2152, 540, 3084, 3354, 543, 4108, 4640, 538, 3210, 547, 519, 3138, 4040, 3463, 15054, 676, 519, 941, 342, 6504, 7952, 269, 2755, 519, 1808, 3877, 540, 713, 1880, 4655, 616, 14070, 1242, 267, 789, 4196, 607, 513, 14165, 585, 519, 1360, 1483, 4145, 6849, 6532, 6082, 2429, 1686, 543, 2221, 780, 9654, 269, 7351, 12367, 543, 10241, 692, 9213, 267, 10195, 3136, 547, 1404, 1271, 5107, 538, 2518, 12602, 267, 9235, 267, 543, 2825, 5726, 3646, 269, 3509, 6532, 2477, 267, 3226, 1346, 538, 519, 7414, 7909, 267, 616, 21679, 609, 10296, 2152, 971, 607, 8375, 4262, 2157, 267, 19394, 3165, 13632, 267, 543, 2067, 12469, 269, 1635, 4974, 519, 2081, 538, 799, 3140, 543, 14070, 6589, 6813, 10195, 267, 649, 666, 1732, 1174, 519, 1950, 16799, 1063, 11585, 267, 2528, 267, 543, 6214, 602, 5546, 519, 2729, 540, 1004, 2713, 593, 891, 2189, 8916, 269, 5015, 267, 9301, 519, 1455, 8017, 1063, 2250, 543, 1459, 2833, 666, 948, 1217, 3609, 3664, 6322, 693, 5466, 4207, 2591, 6849, 6532, 2950, 1472, 519, 1158, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 4002, 22312, 281, 476, 1001, 275, 268, 4962, 268, 1724, 454, 19322, 664, 568, 693, 2112, 593, 1614, 18651, 1206, 267, 543, 8585, 4802, 1590, 3391, 519, 1762, 14880, 607, 519, 21717, 3217, 519, 25136, 540, 1164, 4622, 269, 2311, 519, 1482, 942, 8585, 4802, 1590, 13720, 1010, 6574, 4250, 538, 519, 1106, 540, 513, 1007, 9409, 602, 814, 818, 17470, 593, 519, 6532, 19203, 534, 7952, 540, 941, 342, 11510, 602, 616, 30635, 1645, 519, 2244, 269, 2052, 646, 14710, 873, 1354, 621, 779, 1932, 3735, 888, 10666, 519, 3883, 454, 295, 13550, 539, 676, 519, 2250, 267, 669, 1078, 676, 519, 1459, 269, 674, 5285, 3739, 1010, 22038, 949, 1491, 811, 982, 8585, 4802, 666, 2285, 910, 609, 14880, 7508, 543, 14763, 14656, 538, 267, 666, 8585, 4802, 2040, 3000, 519, 10100, 547, 3068, 1010, 10782, 10546, 2943, 888, 6635, 11037, 568, 1631, 29933, 267, 543, 8585, 4802, 267, 13110, 540, 15720, 543, 4881, 689, 1010, 14763, 267, 6499, 4986, 811, 982, 547, 6108, 1010, 2395, 609, 1010, 1920, 543, 5721, 14880, 585, 1010, 1318, 995, 1747, 607, 4622, 269, 1809, 950, 14880, 4422, 7508, 267, 513, 26525, 8585, 4802, 1590, 10205, 782, 824, 1391, 338, 547, 1265, 1864, 1354, 513, 14692, 344, 5083, 21838, 29598, 14880, 1101, 563, 16352, 3388, 547, 4339, 585, 267, 543, 3592, 4986, 547, 4339, 609, 267, 8585, 4802, 543, 14880, 1590, 28487, 6628, 781, 18222, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 9358, 7582, 22723, 13493, 1315, 23089, 1315, 4937, 1315, 11866, 543, 5246, 25100, 31310, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 2026, 596, 2263, 707, 1007, 10450, 267, 649, 1616, 547, 948, 596, 3605, 519, 5863, 2640, 540, 631, 1681, 320, 8869, 269, 901, 15988, 797, 568, 14095, 609, 5567, 602, 666, 3986, 707, 2949, 1134, 5630, 269, 5213, 1405, 5855, 952, 596, 1810, 1405, 917, 1141, 547, 1376, 282, 938, 3102, 3391, 786, 3802, 596, 998, 1169, 1900, 780, 1262, 3721, 476, 272, 281, 21733, 3931, 631, 1681 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9208, 8535, 7089, 568, 513, 2189, 24369, 7857, 1297, 602, 14439, 782, 9102, 2575, 12326, 267, 2436, 2139, 585, 9042, 267, 16926, 610, 11815, 529, 1700, 31347, 513, 851, 267, 513, 6060, 610, 606, 3693, 538, 513, 3818, 2173, 4215, 6539, 269, 630, 19530, 539, 2575, 1107, 2835, 609, 8964, 543, 4143, 8464, 994, 19119, 540, 1210, 4959, 300, 301, 454, 2704, 869, 338, 3728, 543, 2189, 8446, 454, 2704, 869, 338, 2656, 543, 3608, 19280, 454, 11854, 2644, 909, 3892, 454, 2704, 869, 338, 519, 5137, 540, 513, 4123, 2575, 15682, 267, 2575, 538, 1820, 454, 2704, 869, 338, 513, 3099, 540, 2780, 3156, 0, 2414, 891, 5722, 2516, 267, 799, 616, 3769, 896, 519, 2489, 813, 749, 566, 540, 5689, 1170, 9461, 267, 610, 834, 14683, 1633, 619, 2437, 949, 581, 3773, 519, 631, 1023, 807, 540, 667, 756, 571, 267, 945, 8831, 547, 519, 7178, 543, 5087, 540, 602, 4884, 267, 543, 1106, 513, 1804, 5094, 1895, 282, 789, 616, 29200, 585, 741, 18979, 1876, 1652, 1915, 267, 543, 2226, 2933, 676, 726, 8974, 532, 519, 10089, 326, 4115, 27998, 538, 741, 29117, 563, 2252, 519, 2823, 320, 14817, 529, 729, 14324, 621, 1322, 333, 739, 5344, 513, 726, 8974, 532, 540, 519, 10546, 781, 2244, 563, 5445, 941, 513, 2112, 3697, 5198, 267, 29279, 547, 726, 8974, 532, 30295, 563, 763, 1463, 322, 3464, 540, 8303, 267, 711, 1543, 609, 936, 337, 7342, 543, 726, 8974, 532, 16848, 267, 1185, 856, 571, 3022, 4436, 18941, 538, 1082, 2081, 563, 5475, 726, 8974, 532, 9796, 3279, 543, 1818, 1270, 29792, 693, 3600, 777, 592, 1723, 267, 519, 10656, 18239, 18084, 519, 7414, 543, 6603, 519, 20703, 25458, 553, 538, 4728, 476, 14065, 277, 563, 1692, 1131, 596, 5581, 726, 8974, 532, 286, 5410, 707, 4214, 1934, 269, 0, 19138, 2982, 1100, 10683, 1426, 4276, 547, 2295, 2068, 454, 288, 3703, 1353, 2982, 972, 568, 1100, 4276, 1063, 10683, 3536, 543, 2295, 2068, 269, 589, 2160, 540, 7335, 2319, 6594, 3592, 513, 2929, 1004, 543, 476, 11152, 6253, 748, 663, 7972, 269, 1358, 11943, 10683, 11656, 11326, 616, 711, 8209, 3983, 585, 1480, 1072, 563, 7804, 269, 27068, 16019, 29622, 10683, 9600, 543, 741, 1909, 538, 6484, 585, 519, 2817, 667, 8543, 7027, 543, 23216, 609, 519, 4681, 269, 968, 1607, 1895, 540, 900, 5799, 3744, 1767, 4616, 540, 10683, 3536, 2488, 3875, 1072, 2640, 1519, 2539, 1981, 540, 3987, 267, 10894, 6794, 267, 9025, 2068, 267, 543, 8377, 3034, 300, 14525, 3081, 2090, 1397, 5144, 3170, 538, 10683, 2472, 568, 9243, 610, 2318, 538, 2474, 540, 4227, 2068, 267, 543, 1973, 2604, 543, 8482, 2090, 1394, 602, 909, 269, 968, 2171, 2461, 4098, 547, 1294, 519, 20352, 2490, 538, 2474, 540, 875, 1004, 1589, 827, 3170, 267, 15459, 3170, 267, 543, 5144, 3170, 543, 2731, 4098, 547, 1445, 593, 1018, 616, 930, 540, 519, 811, 1271, 2152, 538, 6484, 1472, 2732, 2298, 267, 3478, 7850, 6484, 936, 942, 267, 543, 513, 2635, 6197, 3034, 763, 2160, 540, 7335, 1353, 6743, 693, 5171, 689, 1114, 10080, 1472, 519, 1158, 269, 634, 4681, 616, 3370, 538, 519, 3864, 4750, 540, 25731, 5735, 563, 7804, 269, 27068, 16019, 11828, 519, 1353, 609, 9466, 7615, 779, 32632, 10557, 454, 7312, 4757, 2232, 786, 711, 581, 3370, 563, 29771, 585, 938, 20394, 2221, 543, 4309, 4143, 3377, 2786, 547, 707, 28600, 256, 0, 763, 865, 10777, 717, 843, 539, 6520, 540, 519, 3735, 13524, 2540, 729, 513, 1974, 540, 4028, 22713, 543, 2804, 7269, 538, 519, 2136, 2276, 269, 589, 676, 1790, 6055, 540, 602, 942, 267, 2523, 538, 519, 476, 6245, 271, 779, 543, 883, 519, 2038, 14206, 2540, 267, 729, 513, 7613, 1634, 607, 968, 344, 3641, 19761, 6100, 2755, 2221, 779, 2376, 3884, 1406, 4481, 827, 602, 1888, 630, 8117, 4585, 585, 513, 3126, 538, 519, 2104, 1070, 14786, 6836, 1175, 827, 3388, 789, 1223, 5326, 909, 547, 6133, 14786, 1107, 1519, 521, 2389, 8573, 3887, 2389, 2275, 3620, 25829, 5991, 3766, 519, 5168, 267, 2523, 609, 2283, 1049, 24657, 543, 2370, 610, 1100, 16048, 1382, 547, 1394, 909, 513, 1650, 563, 297, 24944, 645, 269, 4210, 534, 729, 513, 15837, 16027, 689, 10753, 22093, 267, 12548, 543, 2687, 547, 519, 7467, 540, 14208, 31320, 1357, 3135, 267, 2899, 8057, 8938, 29350, 8536, 6550, 540, 12277, 538, 835, 1032, 593, 835, 23505, 540, 2244, 269, 4210, 534, 1185, 849, 10645, 547, 723, 6738, 513, 9649, 15837, 20604, 936, 24369, 6550, 563, 763, 1650, 4422, 602, 28069, 538, 476, 6245, 275, 519, 9375, 540, 519, 2199, 11356, 630, 299, 334, 22093, 3115, 7163, 1070, 654, 11482, 269, 18897, 526, 344, 651, 267, 4956, 547, 948, 4210, 534, 3895, 1010, 605, 323, 16406, 15837, 21212, 1983, 676, 2921, 513, 4605, 540, 835, 540, 519, 12277, 269, 1809, 713, 4605, 9327, 1406, 6813, 1175, 513, 3339, 1169, 6377, 15837, 269, 5502, 519, 1079, 2367, 3357, 909, 609, 519, 2856, 547, 1491, 519, 8523, 543, 23822, 621, 563, 763, 2533, 540, 23031, 14088, 670, 269, 13669, 15318, 941, 7722, 543, 646, 3576, 519, 8523, 543, 23762, 621, 547, 513, 28457, 3585, 1804, 2450, 269, 634, 1985, 1900, 729, 547, 8936, 519, 8523, 547, 513, 11308, 4604, 540, 519, 1482, 2450, 543, 3337, 269, 1677, 2347, 519, 21903, 267, 4210, 534, 15054, 585, 1776, 4605, 609, 713, 968, 326, 5050, 15837, 892, 593, 1010, 13105, 609, 513, 1129, 8989, 922, 2597, 547, 581, 476, 10436, 6550, 543, 476, 1015, 13728, 269, 901, 1131, 4196, 607, 513, 4990, 540, 968, 339, 784, 826, 2987, 19295, 2131, 892, 1259, 585, 9478, 4210, 534, 547, 3895, 1010, 1587, 693, 513, 2199, 8265, 4023, 269, 2368, 1004, 723, 795, 3183, 569, 3277, 547, 713, 607, 519, 1158, 779, 1101, 968, 21900, 657, 7749, 10378, 892, 2816, 563, 5475, 519, 8523, 729, 2938, 543, 5293, 1472, 519, 2199, 2146, 267, 621, 3357, 547, 519, 3007, 540, 606, 9375, 538, 513, 15231, 4884, 269, 1261, 2219, 621, 14973, 267, 8214, 539, 621, 909, 593, 513, 16886, 514, 4604, 543, 4166, 1004, 7487, 621, 1131, 2307, 585, 741, 1378, 5299, 563, 8649, 5074, 569, 267, 28069, 538, 519, 5614, 540, 476, 6245, 276, 519, 968, 332, 2459, 1054, 15837, 892, 1650, 3459, 21883, 538, 14786, 2429, 519, 2197, 269, 634, 8523, 3357, 547, 519, 3007, 540, 667, 636, 2632, 22548, 651, 540, 1715, 3840, 269, 22548, 651, 2219, 1010, 968, 4134, 11734, 892, 547, 581, 513, 17709, 3377, 6221, 543, 5293, 621, 593, 547, 519, 15769, 540, 519, 20380, 11660, 1977, 12139, 269, 22548, 651, 729, 7022, 540, 519, 1977, 16510, 2817, 7813, 543, 1100, 8969, 513, 812, 4171, 2262, 729, 11967, 1107, 865, 11967, 5310, 602, 519, 12139, 4769, 1406, 21898, 547, 2638, 519, 5013, 563, 288, 1164, 7779, 23678, 1324, 540, 519, 8523, 729, 3812, 543, 3370, 538, 519, 5181, 476, 1240, 267, 476, 6245, 276, 3390, 269, 3502, 1279, 19952, 267, 2705, 267, 519, 15769, 4362, 519, 8523, 729, 513, 16995, 543, 3533, 9783, 513, 1768, 572, 1427, 3555, 912, 763, 8666, 4605, 540, 519, 7882, 1054, 15837, 649, 3370, 593, 2985, 476, 1960, 18327, 547, 581, 513, 14407, 12611, 267, 1373, 513, 733, 337, 643, 766, 540, 519, 23031, 945, 13684, 2390, 721, 607, 1134, 607, 1866, 269, 1323, 7376, 945, 561, 1742, 5128, 547, 971, 2409, 540, 26760, 949, 581, 19486, 607, 513, 9488, 321, 1042, 5679, 1511, 267, 547, 581, 695, 684, 2740, 676, 16764, 563, 2026, 649, 1131, 2161, 2221, 267, 11660, 1977, 3893, 968, 335, 6064, 539, 892, 2443, 19849, 817, 5944, 865, 269, 1717, 267, 519, 1650, 4797, 547, 581, 3370, 543, 1256, 1500, 4063, 540, 519, 11660, 1977, 779, 3312, 3948, 540, 14696, 281, 968, 2171, 616, 967, 20623, 1540, 547, 667, 636, 2632, 22548, 651, 267, 10507, 336, 1421, 3081, 519, 11660, 1977, 267, 540, 1715, 3840, 267, 585, 519, 8523, 689, 799, 938, 23678, 1324, 729, 1500, 267, 6029, 519, 1395, 560, 9317, 2450, 540, 513, 15837, 6738, 676, 6004, 269, 808, 11065, 269, 4210, 534, 267, 540, 10753, 22093, 267, 2051, 1848, 630, 297, 4233, 4975, 5742, 630, 298, 12436, 264, 476, 2537, 8734, 476, 6245, 276, 994, 10214, 1310, 519, 8313, 779, 1427, 3555, 267, 4210, 534, 1869, 1185, 547, 2491, 602, 519, 8523, 7012, 1406, 1483, 269, 26478, 941, 32296, 1864, 585, 2901, 5452, 610, 513, 4062, 540, 1010, 9649, 15837, 547, 1332, 930, 540, 741, 1378, 269, 2060, 782, 519, 11876, 641, 5055, 936, 1945, 8385, 5921, 547, 581, 513, 14973, 1259, 540, 10229, 1010, 3484, 2472, 267, 4210, 534, 8057, 649, 776, 540, 519, 3007, 543, 3274, 1767, 519, 15837, 1185, 1044, 21687, 563, 14367, 3659, 18897, 526, 344, 651, 267, 2705, 267, 729, 15151, 20938, 609, 519, 11876, 1314, 646, 1185, 5280, 547, 10419, 3433, 267, 585, 646, 1630, 16556, 267, 968, 6124, 4944, 1653, 5443, 616, 4080, 547, 581, 519, 6574, 15073, 1513, 593, 3618, 1848, 9717, 519, 2085, 540, 968, 344, 3641, 19761, 5608, 713, 3884, 1406, 513, 9670, 3948, 563, 8601, 11660, 1977, 779, 29523, 569, 30087, 539, 1427, 3555, 538, 476, 6245, 276, 519, 11876, 1314, 4797, 547, 581, 6933, 730, 269, 634, 1650, 729, 1586, 3370, 609, 519, 1482, 8523, 676, 634, 853, 8681, 18225, 538, 5147, 540, 476, 6245, 278, 269, 634, 12139, 12286, 513, 7848, 540, 1312, 14070, 543, 23610, 2984, 267, 855, 3370, 519, 7882, 1054, 15837, 1650, 607, 513, 23610, 835, 269, 6145, 519, 11660, 1977, 267, 789, 1932, 9783, 513, 1427, 3555, 563, 1103, 476, 1001, 273, 513, 1404, 267, 2854, 676, 31075, 25599, 623, 5417, 523, 543, 13886, 968, 763, 4279, 10753, 22093, 8000, 6737, 14208, 1314, 5608, 6566, 328, 1229, 538, 10753, 22093, 563, 5970, 513, 24321, 2969, 1554, 1547, 1547, 1547, 14693, 621, 786, 581, 25886, 2336, 15100, 1744, 16336, 8065, 630, 14707, 3101, 3778, 1070, 476, 1001, 275, 269, 0, 32637, 267, 5239, 476, 736, 267, 476, 1001, 272, 454, 7343, 956, 543, 8641, 532, 454, 7628, 938, 11945, 1770, 649, 3893, 547, 2119, 1614, 1114, 5686, 540, 13212, 282, 2699, 267, 5835, 543, 3039, 269, 2991, 512, 8463, 1142, 2186, 540, 11945, 519, 737, 1342, 657, 11954, 538, 606, 11945, 547, 1397, 799, 835, 729, 741, 5172, 269, 4595, 649, 616, 1565, 827, 24275, 538, 938, 2979, 1982, 649, 1500, 513, 2650, 3113, 547, 1294, 799, 2681, 540, 11945, 938, 1362, 17329, 1655, 269, 4414, 729, 519, 2312, 16771, 2336, 5475, 1565, 782, 827, 13212, 543, 27124, 9469, 1284, 1500, 513, 642, 3317, 6516, 547, 5635, 873, 269, 1284, 1705, 713, 1927, 693, 519, 24095, 543, 519, 3214, 3893, 547, 946, 938, 17157, 12545, 269, 1358, 2648, 1210, 17157, 12545, 256, 1358, 1589, 621, 568, 865, 3579, 789, 1810, 1405, 723, 547, 1694, 693, 741, 7515, 1247, 649, 960, 269, 2991, 6266, 543, 6266, 540, 2259, 649, 616, 6368, 4358, 547, 1205, 519, 13793, 540, 10126, 532, 1913, 269, 1306, 649, 4956, 1018, 547, 2328, 519, 3214, 1131, 2161, 782, 519, 4992, 538, 519, 2262, 543, 649, 1131, 2328, 1524, 1346, 4992, 1927, 269, 4107, 540, 519, 1913, 941, 711, 25250, 7157, 855, 596, 1223, 1869, 2995, 1018, 789, 941, 269, 901, 568, 513, 5458, 1900, 256, 769, 9656, 649, 1616, 1053, 547, 11963, 13093, 13443, 267, 799, 10416, 1797, 649, 1616, 873, 547, 2328, 1524, 1022, 3280, 789, 5873, 538, 519, 2262, 269, 594, 2141, 2995, 873, 602, 1318, 1631, 649, 616, 711, 14126, 827, 2436, 519, 2262, 568, 25250, 7157, 610, 711, 607, 1279, 607, 649, 616, 1603, 1524, 782, 519, 4992, 649, 5873, 269, 1924, 607, 707, 1126, 6770, 1753, 960, 609, 4413, 335, 8215, 1913, 267, 3314, 713, 568, 513, 1434, 3364, 269, 1284, 616, 6126, 789, 616, 4098, 547, 2328, 256, 0, 3198, 15674, 12114, 2910, 7838, 307, 630, 15433, 277, 268, 12293, 271, 1070, 3943, 17557, 10143, 267, 729, 4535, 538, 519, 8498, 540, 16645, 2940, 340, 557, 11546, 5174, 1120, 267, 538, 519, 11662, 540, 519, 966, 643, 4673, 529, 563, 2005, 1287, 5293, 547, 519, 12523, 540, 5487, 3057, 1188, 543, 729, 1500, 513, 546, 1276, 344, 538, 476, 15221, 278, 267, 1373, 8087, 609, 519, 30240, 546, 1276, 625, 540, 808, 328, 559, 747, 543, 19161, 538, 476, 13923, 272, 563, 3891, 729, 1459, 693, 519, 6370, 540, 1284, 1170, 518, 19161, 630, 333, 792, 26285, 826, 1070, 1141, 519, 13922, 540, 519, 1528, 528, 5493, 520 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2709, 4081, 5491, 267, 3850, 1053, 547, 7118, 5491, 4724, 741, 4110, 1247, 11543, 4052, 1995, 563, 1103, 3179, 4721, 616, 1271, 1317, 789, 1683, 1053, 609, 4052, 1995, 267, 3318, 4296, 267, 2872, 1702, 267, 1007, 1983, 267, 2799, 2816, 16548, 267, 543, 519, 4316, 547, 1449, 5397, 513, 4876, 269, 4841, 1058, 1491, 5413, 540, 891, 3255, 547, 2744, 513, 8013, 6316, 538, 741, 2361, 543, 1118, 5483, 3664, 827, 741, 2104, 4876, 10092, 563, 1103, 3179, 4721, 948, 1053, 1628, 513, 3318, 3060, 269, 4438, 606, 22631, 1222, 267, 1053, 723, 519, 4316, 547, 2743, 543, 960, 609, 4648, 538, 741, 2361, 267, 799, 666, 948, 873, 1628, 3407, 4296, 269, 1452, 4296, 666, 581, 3730, 585, 2104, 2816, 19707, 267, 8100, 267, 543, 7840, 563, 1103, 3179, 4721, 666, 948, 1053, 6430, 593, 741, 4876, 2619, 269, 769, 3179, 4721, 1683, 1053, 609, 606, 3330, 1413, 693, 741, 6074, 2872, 267, 4758, 873, 513, 1732, 1620, 540, 519, 1699, 3466, 267, 2591, 267, 543, 3255, 269, 901, 666, 948, 1053, 1118, 5483, 3664, 827, 741, 2104, 4876, 10092, 563, 2252, 596, 2461, 606, 14971, 3318, 610, 6280, 2875, 267, 621, 779, 2693, 602, 693, 930, 1448, 596, 4076, 2808, 2921, 593, 606, 22631, 1222, 269, 1656, 972, 616, 7899, 540, 4128, 1946, 281, 1358, 2709, 4052, 1995, 538, 519, 2361, 267, 948, 596, 6430, 952, 513, 4876, 568, 1318, 585, 596, 267, 543, 1223, 1256, 1267, 538, 2816, 3091, 1310, 22692, 269, 1809, 22631, 4721, 5749, 1406, 1175, 6225, 585, 1053, 282, 3549, 849, 4324, 676, 2348, 22631, 593, 741, 6887, 269, 3371, 616, 476, 278, 22631, 1222, 2640, 585, 1053, 547, 2015, 950, 14045, 875, 547, 6108, 707, 4832, 2736, 912, 3080, 540, 519, 1034, 1271, 2640, 540, 606, 22631, 1222, 568, 602, 621, 666, 948, 596, 6430, 952, 513, 1880, 4876, 568, 1318, 585, 596, 269, 1403, 596, 2461, 899, 803, 543, 723, 1100, 2856, 1018, 621, 779, 899, 547, 960, 538, 707, 2361, 540, 1353, 267, 606, 22631, 1222, 666, 948, 4137, 713, 856, 563, 9827, 267, 950, 594, 729, 3168, 693, 22631, 4721, 267, 594, 4769, 1406, 917, 4376, 827, 519, 3549, 543, 6009, 594, 4294, 585, 2394, 1310, 1250, 5967, 267, 865, 713, 568, 1776, 1390, 1259, 547, 2638, 856, 543, 6218, 3549, 1354, 16561, 606, 2709, 563, 2791, 666, 1406, 1205, 513, 2816, 1510, 13033, 267, 543, 596, 4465, 1406, 581, 2111, 547, 4434, 707, 4876, 1510, 621, 267, 2901, 269, 634, 2640, 540, 2679, 513, 3318, 3060, 616, 6654, 281, 596, 3580, 723, 1569, 547, 811, 3255, 982, 952, 596, 6854, 782, 707, 17066, 896, 9376, 543, 1883, 269, 32730, 2337, 1004, 1265, 6009, 267, 1205, 15469, 267, 543, 1332, 741, 11678, 543, 602, 779, 1175, 31153, 519, 2627, 2336, 3383, 979, 856, 972, 543, 1376, 2679, 3347, 609, 824, 4648, 538, 707, 2361, 269, 1411, 2760, 917, 950, 835, 540, 1346, 1004, 1522, 2490, 856, 547, 581, 707, 2104, 20148, 610, 21927, 630, 528, 1256, 513, 2104, 16108, 1916, 2791, 2461, 9361, 693, 1753, 267, 3206, 827, 707, 5326, 22631, 1222, 269, 1411, 4076, 16545, 707, 2104, 16108, 543, 519, 4316, 602, 19179, 1080, 596, 693, 713, 2754, 281, 513, 4960, 547, 1451, 689, 2872, 4648, 267, 1332, 538, 707, 4876, 543, 1831, 851, 540, 606, 5863, 2319, 269, 1411, 1554, 323, 3195, 827, 875, 707, 4876, 786, 3337, 909, 936, 519, 1985, 1906, 1296, 610, 1256, 5756, 563, 7312, 6280, 1522, 581, 1572, 1945, 1114, 676, 1142, 2197, 779, 2069, 1062, 267, 855, 789, 782, 2709, 1945, 2147, 513, 1259, 585, 1053, 547, 1205, 1483, 8996, 1995, 1354, 22692, 269, 901, 666, 2285, 873, 513, 8013, 6316, 593, 741, 759, 6979, 950, 7311, 585, 6009, 1310, 22692, 2336, 2252, 596, 2461, 899, 803, 267, 596, 949, 723, 1044, 11842, 952, 1346, 22631, 1222, 13646, 941, 1175, 513, 1259, 585, 3549, 547, 1118, 741, 5520, 3251, 3735, 593, 513, 11016, 12784, 269, 1809, 22631, 4721, 666, 1291, 547, 4890, 6009, 1310, 22692, 2336, 4467, 3966, 625, 616, 5356, 811, 2640, 547, 22631, 1631, 982, 1354, 267, 543, 621, 779, 711, 1175, 707, 3044, 1863, 12899, 269, 2368, 3549, 2709, 1863, 2852, 17099, 267, 799, 568, 513, 1434, 1259, 547, 1205, 596, 5461, 538, 519, 2754, 543, 1397, 873, 602, 596, 723, 606, 1719, 538, 1565, 811, 827, 1018, 789, 798, 269, 11524, 949, 2709, 8027, 610, 6283, 2533, 865, 602, 596, 1810, 1406, 723, 547, 5855, 827, 3478, 1472, 4884, 1247, 2324, 2182, 693, 707, 22631, 1222, 2336, 31936, 267, 6976, 22631, 4721, 616, 4742, 811, 1455, 891, 2395, 281, 930, 3549, 786, 2628, 741, 22631, 5662, 569, 13848, 267, 610, 1256, 2285, 873, 513, 23616, 754, 585, 8027, 3790, 952, 2556, 2336, 2467, 779, 513, 2603, 596, 666, 2744, 454, 1103, 3179, 4721, 616, 513, 1390, 1259, 547, 1205, 3323, 538, 707, 4876, 267, 543, 519, 811, 1995, 596, 1205, 896, 707, 12966, 267, 519, 1732, 269, 1411, 1522, 1256, 1265, 602, 596, 2648, 1018, 596, 2461, 3257, 865, 1454, 602, 621, 3587, 707, 5326, 2816, 269, 4634, 952, 711, 267, 1498, 267, 621, 666, 4196, 607, 606, 17170, 19480, 6149, 2509, 8236, 8726, 3804, 621, 949, 581, 602, 596, 1305, 585, 3054, 543, 972, 779, 1100, 1732, 942, 982, 1631, 256, 2060, 865, 1082, 3681, 856, 972, 585, 1053, 3168, 585, 960, 1995, 3255, 899, 713, 835, 693, 918, 300, 12229, 7896, 267, 649, 3810, 4363, 10992, 873, 856, 1354, 1818, 1022, 3664, 827, 875, 1655, 547, 979, 827, 4358, 1055, 593, 2619, 2509, 1967, 256, 0, 289, 10813, 298, 295, 3198, 301, 2177, 2443, 2201, 14349, 267, 5181, 476, 1626, 267, 476, 1708, 274, 267, 5216, 13538, 10356, 585, 513, 17885, 2973, 909, 2059, 519, 21207, 327, 27553, 5211, 269, 1358, 6394, 17885, 602, 1185, 1044, 546, 22981, 2059, 5211, 10003, 543, 693, 519, 1857, 6908, 1569, 3135, 269, 1358, 849, 1031, 666, 3996, 547, 4894, 17885, 689, 519, 6908, 563, 763, 13538, 6569, 3875, 18646, 267, 1614, 30079, 267, 513, 1286, 10160, 267, 543, 1082, 824, 3765, 3250, 10389, 3688, 269, 769, 2698, 267, 789, 10356, 476, 272, 267, 276, 3199, 6550, 540, 17885, 1282, 513, 1079, 5662, 1974, 563, 23871, 1662, 543, 5533, 538, 938, 5757, 9292, 1206, 519, 2831, 602, 2661, 972, 269, 634, 21207, 327, 27553, 5211, 7028, 3875, 2010, 540, 5017, 267, 11864, 267, 543, 3165, 269, 5637, 4544, 543, 3039, 1200, 976, 616, 4122, 2938, 1247, 533, 5417, 1782, 267, 607, 1134, 607, 5757, 17333, 1562, 269, 1717, 267, 621, 779, 711, 1175, 827, 519, 7320, 269, 634, 5757, 568, 938, 17612, 267, 3246, 2973, 1216, 602, 2771, 1622, 938, 2146, 563, 289, 32569, 267, 513, 15321, 602, 19443, 609, 519, 2973, 5346, 267, 3081, 267, 968, 763, 25825, 540, 4639, 9098, 616, 4190, 2067, 2200, 602, 3025, 1058, 581, 2111, 547, 2972, 269, 2558, 1662, 711, 1152, 3217, 2476, 689, 519, 2067, 5898, 540, 519, 5757, 855, 3542, 2373, 606, 1271, 4199, 269, 594, 1616, 547, 581, 851, 540, 5355, 891, 2200, 865, 811, 1004, 616, 3222, 540, 543, 2111, 547, 8415, 873, 3034, 288, 2027, 9684, 596, 547, 519, 13538, 585, 4142, 21899, 741, 942, 547, 5355, 519, 21207, 327, 27553, 5211, 269, 634, 654, 309, 4972, 540, 7025, 10466, 29407, 7025, 11059, 4643, 630, 3918, 4338, 264, 1982, 13859, 519, 17885, 11435, 267, 17885, 8851, 3028, 543, 666, 3996, 563, 763, 2680, 729, 6896, 676, 519, 21207, 327, 27553, 5211, 623, 5417, 6840, 267, 513, 2146, 1895, 6462, 676, 519, 21207, 327, 27553, 5211, 27347, 1117, 5948, 543, 8347, 901, 654, 309, 269, 634, 21207, 327, 27553, 5211, 27347, 1117, 5948, 814, 5249, 547, 2087, 1216, 2298, 585, 936, 1079, 5756, 267, 1247, 8347, 901, 654, 309, 6663, 547, 2087, 1569, 547, 2635, 18883, 269, 634, 1007, 11450, 1063, 519, 1079, 3906, 10905, 5726, 609, 18883, 269, 1284, 666, 1406, 723, 2635, 18883, 3681, 952, 649, 1810, 1406, 723, 2973, 1216, 269, 19452, 267, 649, 11177, 519, 5757, 865, 649, 666, 2972, 519, 5757, 585, 10068, 267, 533, 5417, 1782, 267, 543, 10977, 563, 10287, 519, 21207, 327, 27553, 5211, 623, 5417, 6840, 593, 9365, 585, 811, 2621, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3584, 267, 16929, 1522, 2015, 6220, 3119, 2707, 2326, 883, 741, 3992, 4566, 267, 3850, 1053, 547, 9691, 5659, 12013, 1513, 540, 24180, 17779, 7258, 29629, 10389, 12591, 593, 1480, 14920, 269, 3958, 267, 8716, 1507, 1895, 5717, 543, 10319, 3785, 666, 6536, 2565, 3206, 1983, 543, 11349, 513, 11215, 1565, 2146, 13296, 3309, 5380, 616, 12595, 543, 15197, 269, 14936, 267, 10128, 19180, 2200, 630, 324, 3052, 1421, 32026, 267, 27143, 267, 543, 7317, 7270, 264, 666, 948, 8115, 3140, 10616, 543, 22113, 4296, 1063, 2250, 543, 1459, 19183, 540, 2144, 5328, 3854, 267, 1843, 2305, 267, 543, 1514, 5126, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 4013, 31767, 7499, 543, 5339, 3350, 3964, 538, 519, 28268, 538, 476, 4350, 275, 563, 5825, 539, 607, 513, 18259, 3926, 543, 13556, 538, 513, 2067, 2065, 543, 4998, 1242, 2511, 267, 922, 1148, 729, 5132, 2685, 543, 796, 4148, 514, 4221, 569, 547, 6813, 1686, 543, 9259, 3448, 547, 14100, 1143, 267, 543, 547, 3895, 519, 1523, 540, 519, 1362, 1652, 2486, 563, 12892, 626, 17779, 568, 513, 2511, 540, 4998, 1242, 10853, 1148, 602, 729, 2919, 538, 519, 8168, 5742, 543, 729, 519, 4013, 2511, 538, 602, 2197, 1063, 476, 4350, 273, 543, 476, 2735, 279, 267, 607, 1134, 607, 538, 824, 24180, 2477, 1310, 2622, 2782, 4083, 269, 31012, 17779, 568, 6353, 676, 519, 26841, 540, 21340, 2418, 267, 971, 607, 519, 31414, 540, 519, 605, 2280, 30353, 269, 6736, 922, 2012, 267, 519, 5515, 538, 519, 2511, 616, 1360, 1419, 3810, 4998, 1242, 267, 2523, 538, 17001, 267, 1141, 621, 1419, 682, 753, 8185, 593, 519, 14908, 540, 8106, 17001, 269, 4014, 1644, 267, 621, 1058, 711, 581, 11821, 609, 1514, 17779, 267, 513, 1826, 540, 1148, 602, 1483, 12264, 20186, 5396, 540, 1514, 6161, 267, 610, 824, 3029, 540, 968, 9418, 1143, 892, 538, 519, 3308, 513, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 292, 549, 6776, 13317, 543, 8629, 2305, 257, 607, 851, 540, 834, 24719, 13316, 1315, 5274, 11557, 7081, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 10289, 519, 654, 1180, 9317, 2622, 540, 19643, 13219, 692, 7072, 912, 20756, 972, 256, 5620, 596, 2479, 11074, 547, 23507, 513, 4190, 18173, 1166, 9231, 1472, 513, 8768, 286, 1452, 4241, 7068, 616, 811, 982, 1175, 7168, 12961, 910, 789, 1404, 513, 4105, 1909, 538, 938, 1604, 676, 4543, 547, 3542, 3729, 2371, 267, 5810, 267, 543, 5388, 269, 2913, 781, 4685, 883, 519, 6909, 1158, 540, 17984, 543, 1451, 930, 1187, 5013, 2059, 519, 1259, 2439, 1432, 3657, 19643, 13219, 286, 912, 5575, 1919, 1101, 267, 1018, 4010, 616, 17984, 286, 5617, 10079, 621, 610, 711, 267, 891, 10347, 7786, 1376, 1272, 607, 30746, 630, 10193, 1634, 607, 16793, 264, 1354, 13321, 998, 513, 1184, 1572, 23009, 2670, 269, 901, 1797, 602, 17984, 979, 998, 2185, 3982, 5933, 1282, 741, 10715, 281, 4212, 267, 12586, 9366, 630, 528, 21956, 541, 1070, 7782, 320, 630, 577, 787, 15680, 529, 1070, 543, 2937, 269, 4495, 789, 3914, 15296, 267, 17984, 2097, 538, 1585, 5546, 267, 7306, 267, 543, 546, 9579, 1782, 2681, 3270, 269, 2368, 666, 581, 607, 1507, 607, 476, 272, 270, 279, 540, 606, 10759, 267, 1247, 1866, 12732, 909, 547, 476, 1556, 6279, 2066, 2439, 1692, 1684, 19643, 13219, 8844, 15907, 286, 912, 30706, 9289, 875, 17984, 8038, 286, 2060, 741, 2185, 12209, 267, 789, 7048, 593, 3532, 6091, 547, 1711, 12740, 543, 19876, 269, 21452, 2614, 267, 17984, 1166, 777, 741, 12209, 693, 5111, 2947, 2053, 829, 2034, 256, 2334, 4028, 13617, 3350, 2636, 873, 547, 6330, 30780, 998, 519, 2011, 543, 3643, 3875, 5810, 585, 22060, 780, 307, 8463, 5253, 609, 4256, 32243, 912, 3080, 10578, 1249, 827, 17984, 568, 875, 789, 834, 339, 4292, 257, 741, 1426, 1210, 13364, 4092, 593, 741, 7953, 543, 3952, 269, 1879, 789, 2244, 593, 513, 6978, 610, 8768, 267, 789, 946, 891, 8596, 547, 3313, 952, 621, 781, 5078, 585, 4189, 269, 1924, 950, 596, 1294, 513, 18173, 16889, 593, 513, 2030, 267, 8458, 616, 621, 781, 10992, 856, 2436, 602, 1880, 10664, 1131, 1118, 513, 17705, 15165, 780, 763, 11957, 540, 15724, 1588, 912, 2026, 5018, 4505, 267, 17984, 3565, 3648, 547, 3542, 3215, 2371, 267, 799, 2337, 2327, 9265, 543, 2635, 8134, 269, 1306, 789, 1847, 1063, 18742, 10655, 22060, 267, 6263, 5536, 540, 14947, 6529, 547, 741, 4703, 543, 1205, 11843, 689, 835, 8768, 547, 1776, 269, 3683, 942, 267, 713, 20674, 538, 6721, 5613, 267, 5452, 267, 543, 1007, 5481, 540, 2371, 269, 9453, 17984, 267, 938, 4541, 1131, 7985, 27290, 4539, 780, 8256, 3569, 27557, 912, 19013, 267, 930, 18173, 2249, 3068, 6937, 1813, 547, 7226, 2530, 267, 5533, 267, 2916, 1689, 267, 543, 824, 1480, 2238, 269, 9182, 267, 1978, 5095, 723, 546, 13388, 1194, 936, 519, 1296, 267, 1818, 5726, 3646, 5051, 2629, 269, 1635, 1565, 827, 891, 15999, 7786, 267, 649, 666, 948, 6318, 4656, 543, 2149, 7925, 2249, 585, 2104, 5481, 780, 12507, 1105, 24779, 912, 12441, 596, 917, 602, 3345, 1977, 16313, 17984, 22738, 606, 12473, 5993, 9194, 17364, 5215, 540, 5195, 286, 5272, 1032, 267, 6634, 540, 891, 3109, 7146, 11399, 1052, 3083, 625, 3460, 909, 547, 476, 272, 267, 8517, 5195, 5045, 1189, 689, 4516, 543, 519, 2136, 2276, 2509, 13566, 4993, 543, 3844, 11204, 7733, 269, 2372, 924, 26526, 267, 621, 3217, 2789, 5481, 540, 16313, 338, 547, 2347, 713, 5180, 7552, 2094, 1142, 1367, 2729, 1152, 476, 275, 268, 277, 4374, 1282, 922, 9960, 4005, 269, 1717, 267, 1346, 945, 7832, 593, 519, 1279, 31939, 1394, 5087, 7639, 909, 547, 5216, 3275, 1107, 1175, 2614, 942, 547, 16196, 543, 3136, 519, 4783, 780, 7021, 342, 5793, 532, 31346, 912, 7628, 4411, 4365, 2175, 267, 1896, 18173, 2249, 4283, 513, 1533, 540, 18959, 3599, 1572, 1019, 777, 1021, 267, 3850, 873, 547, 18359, 1648, 2394, 5614, 21128, 269, 1280, 3236, 267, 930, 4782, 15720, 9944, 10690, 3529, 13626, 267, 1247, 1866, 1904, 585, 18241, 1212, 341, 1182, 1369, 7725, 269, 4354, 13124, 267, 930, 17984, 949, 1256, 3442, 547, 30489, 622, 16280, 267, 3006, 4466, 9675, 3330, 5321, 2439, 1103, 3932, 267, 17984, 2099, 513, 9159, 1895, 540, 7786, 602, 3142, 5898, 543, 8733, 2640, 547, 938, 10450, 269, 1635, 1620, 741, 2623, 267, 2956, 267, 543, 2591, 267, 649, 666, 6536, 7071, 585, 891, 22539, 7068, 543, 960, 1927, 547, 8190, 741, 9249, 269, 8414, 3695, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3719, 614, 13219, 1404, 606, 1271, 1909, 538, 3542, 3215, 519, 2371, 267, 5810, 267, 543, 5388, 602, 649, 991, 593, 519, 3618, 563, 2467, 616, 865, 1082, 2010, 540, 17984, 543, 1082, 723, 2189, 2081, 540, 17005, 563, 3719, 614, 12187, 12700, 585, 8866, 454, 268, 19643, 13219, 616, 7786, 454, 268, 19643, 13219, 1166, 777, 741, 12209, 827, 2947, 2053, 1169, 2034, 563, 268, 19643, 13219, 6492, 741, 1426, 609, 741, 4395, 3952, 563, 268, 1703, 616, 827, 476, 1704, 267, 4335, 1114, 2249, 540, 17984, 563, 268, 4438, 519, 5162, 930, 17984, 899, 547, 3834, 1156, 622, 269, 1358, 786, 12404, 538, 2922, 4025, 899, 896, 3762, 267, 538, 23572, 267, 543, 1256, 3330, 707, 1753, 563, 268, 10251, 267, 930, 2249, 540, 17984, 616, 13155, 267, 543, 930, 723, 2907, 1831, 17255, 563, 268, 769, 3013, 267, 519, 16313, 18173, 4955, 6233, 476, 5197, 271, 5195, 1169, 2887, 547, 519, 15911, 16374, 540, 4993, 543, 6792, 563, 268, 19643, 13219, 723, 1082, 1114, 7306, 543, 4778, 269, 634, 10545, 18173, 568, 1152, 827, 476, 272, 270, 279, 540, 606, 10759, 6466, 519, 4102, 18173, 568, 5176, 476, 1321, 6279, 563, 268, 19643, 13219, 616, 7786, 543, 616, 4535, 607, 513, 17875, 1782, 2048, 322, 831, 18339, 541, 17483, 268, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 634, 544, 1342, 599, 3141, 5641, 1279, 20224, 593, 519, 23090, 25865, 4565, 9693, 10754, 540, 14878, 22201, 23364, 781, 6196, 16011, 607, 27118, 4274, 569, 4044, 730, 1200, 1259, 998, 555, 3994, 338, 540, 8254, 2914, 1752, 532, 14666, 269, 2701, 1185, 6738, 909, 9624, 891, 3504, 6821, 543, 31619, 26181, 320, 31241, 3591, 267, 855, 2760, 13110, 540, 741, 5898, 269, 1717, 267, 1352, 7948, 1405, 948, 855, 1745, 513, 533, 836, 540, 6161, 585, 519, 2104, 540, 713, 20648, 2622, 11595, 3135, 780, 2304, 320, 5828, 883, 513, 7522, 620, 2917, 20898, 609, 15945, 9513, 6946, 30824, 3349, 743, 16251, 267, 10347, 2083, 580, 872, 8988, 2264, 267, 543, 10477, 17375, 17981, 910, 782, 10583, 6698, 540, 23886, 1014, 23477, 269, 1306, 1352, 5293, 676, 267, 606, 11361, 4807, 1572, 856, 689, 3297, 1200, 4831, 267, 834, 291, 984, 541, 15854, 267, 737, 24089, 17064, 340, 4779, 10937, 10590, 18011, 14187, 1554, 267, 1250, 8250, 256, 10807, 634, 5432, 28551, 4904, 27118, 609, 14246, 267, 22348, 1200, 875, 17401, 5679, 527, 713, 2146, 729, 5103, 519, 24567, 24921, 1142, 4832, 4005, 780, 9515, 4797, 2394, 1352, 6603, 1200, 10278, 281, 513, 1507, 22538, 2946, 512, 26786, 2476, 689, 519, 1292, 8749, 1141, 1352, 6785, 1352, 1131, 1265, 1200, 3659, 700, 26854, 267, 521, 6235, 17611, 637, 810, 543, 533, 1681, 936, 7851, 3262, 2066, 1010, 649, 9312, 11308, 3349, 269, 1261, 6743, 909, 607, 1352, 14059, 267, 834, 25105, 267, 972, 596, 616, 267, 1323, 25155, 328, 10590, 3571, 4064, 1000, 1074, 1194, 3765, 2151, 341, 3585, 267, 20726, 532, 693, 930, 10325, 28823, 538, 602, 15931, 2247, 540, 1010, 780, 5475, 27300, 16990, 1845, 267, 27118, 3893, 2786, 547, 519, 1448, 267, 834, 299, 26854, 267, 649, 991, 547, 2911, 827, 9235, 269, 898, 6770, 721, 2724, 267, 9811, 267, 855, 1413, 693, 1018, 621, 781, 3257, 547, 938, 2749, 269, 3776, 1004, 616, 3478, 14593, 856, 267, 8719, 676, 16314, 10519, 1023, 23695, 1152, 547, 16080, 11107, 3010, 299, 26854, 521, 19042, 7184, 267, 9301, 519, 5168, 538, 1200, 1913, 269, 1358, 2893, 538, 16563, 585, 513, 4090, 1354, 646, 12038, 267, 834, 2791, 2811, 1318, 267, 27118, 269, 1809, 3314, 267, 1169, 11777, 6170, 1934, 2337, 1628, 938, 9897, 267, 3506, 267, 10506, 1862, 663, 28933, 938, 2686, 6561, 269, 1284, 1175, 723, 547, 2327, 602, 17137, 5749, 1405, 2451, 3297, 538, 713, 5198, 585, 13884, 3010, 300, 3437, 676, 1010, 24235, 267, 27118, 4280, 267, 834, 3383, 267, 875, 798, 649, 10880, 602, 3666, 12482, 4415, 513, 5462, 1350, 842, 538, 1010, 3750, 267, 700, 26854, 14452, 267, 834, 3528, 10115, 538, 4264, 9235, 269, 18964, 8436, 547, 2463, 938, 9821, 267, 4125, 17137, 538, 3375, 6194, 3157, 267, 2149, 938, 1604, 267, 543, 3895, 8076, 2833, 2864, 982, 5010, 1242, 3283, 3010, 2026, 789, 1642, 1386, 4514, 883, 6643, 267, 1312, 5433, 4126, 556, 11779, 548, 1369, 873, 269, 12344, 519, 20352, 1223, 2490, 952, 789, 5249, 1927, 2509, 3743, 9235, 1107, 835, 602, 23353, 3025, 3238, 1247, 17420, 741, 19644, 22657, 269, 0, 2237, 513, 8903, 1650, 1644, 547, 519, 1739, 1257, 6256, 912, 22081, 814, 519, 9235, 2872, 8329, 547, 519, 2804, 1646, 540, 519, 26811, 753, 888, 763, 9235, 2872, 814, 8329, 3648, 547, 519, 2804, 1646, 540, 519, 26811, 753 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2066, 519, 2197, 267, 513, 1804, 543, 3395, 2551, 540, 1762, 1004, 814, 865, 2370, 4126, 540, 4466, 513, 2816, 563, 763, 7694, 540, 12322, 568, 693, 513, 8978, 1970, 269, 1656, 519, 23698, 5734, 616, 12102, 5256, 543, 1970, 13867, 12322, 269, 11374, 513, 1279, 7771, 936, 519, 2063, 8717, 267, 519, 7694, 2557, 540, 3109, 12322, 568, 1447, 982, 476, 1691, 2600, 543, 585, 1970, 13867, 21337, 12322, 1175, 476, 2537, 2600, 563, 21930, 4079, 267, 9907, 476, 736, 547, 476, 2190, 267, 24214, 5594, 1732, 267, 855, 1312, 2516, 616, 2484, 811, 2693, 547, 581, 32014, 563, 763, 4539, 540, 7141, 13864, 949, 3100, 1447, 1271, 982, 585, 32014, 4079, 267, 855, 519, 1279, 3856, 1764, 949, 581, 25680, 269, 4634, 851, 6066, 960, 568, 1419, 513, 19480, 6149, 547, 2104, 7694, 269, 9453, 10565, 3268, 267, 1970, 13867, 12102, 12322, 4465, 1406, 581, 5280, 676, 1022, 2104, 6051, 269, 1358, 1223, 1439, 909, 18385, 17215, 12790, 269, 0, 23911, 781, 15259, 9074, 2488, 513, 3444, 13807, 520, 845, 8818, 547, 1082, 1062, 7400, 2533, 269, 769, 1198, 267, 519, 15259, 9074, 2356, 3091, 513, 15410, 540, 1064, 1460, 1510, 519, 16841, 519, 25436, 564, 3340, 269, 2201, 8837, 1949, 267, 621, 786, 2693, 1104, 1412, 660, 8339, 5839, 13013, 3096, 1412, 332, 659, 8339, 1411, 666, 2995, 799, 568, 1031, 676, 1045, 3183, 1412, 657, 20508, 262, 607, 4330, 2630, 563, 18455, 5432, 609, 930, 540, 519, 811, 1455, 3252, 543, 4632, 2139, 998, 519, 15259, 9074, 568, 4061, 1271, 585, 811, 4359, 5124, 5752, 563, 19177, 2489, 26928, 4632, 616, 3989, 676, 15259, 912, 268, 15259, 269, 523, 1333, 281, 21476, 1699, 5124, 2825, 4632, 585, 1569, 676, 5124, 269, 1452, 4632, 2099, 5124, 781, 1702, 540, 922, 1604, 269, 4475, 267, 789, 666, 581, 4957, 1510, 1198, 532, 519, 3152, 678, 29025, 1604, 269, 1280, 513, 1592, 540, 782, 4632, 267, 2196, 519, 1739, 689, 513, 5124, 7387, 912, 1721, 737, 538, 15259, 269, 523, 1333, 281, 1820, 834, 260, 338, 281, 4939, 338, 257, 4939, 263, 330, 267, 15259, 269, 523, 1333, 25208, 7481, 268, 15259, 269, 6050, 788, 281, 634, 5569, 1031, 547, 5815, 1899, 9397, 269, 2201, 1133, 1460, 2861, 1949, 630, 4462, 1460, 267, 12380, 267, 5839, 13013, 2473, 1070, 713, 568, 1412, 315, 333, 8339, 1717, 267, 952, 596, 1616, 547, 900, 3634, 513, 8837, 1062, 267, 596, 666, 1689, 713, 547, 1412, 315, 337, 14826, 262, 547, 2099, 519, 31566, 2132, 543, 1007, 1467, 3049, 12673, 1031, 593, 8837, 5867, 563, 268, 15259, 20508, 281, 634, 2012, 540, 519, 5665, 1062, 17466, 9074, 16865, 585, 13013, 5829, 1569, 269, 18169, 616, 281, 1064, 1460, 267, 562, 339, 267, 13121, 267, 5672, 267, 2781, 267, 28162, 267, 15259, 273, 267, 610, 1567, 6523, 563, 268, 15259, 29624, 281, 634, 13013, 17466, 9074, 585, 4238, 1644, 547, 6119, 2448, 10092, 269, 12833, 3183, 713, 1510, 7440, 786, 2285, 596, 519, 1062, 2619, 547, 519, 13013, 17466, 9074, 1373, 1031, 269, 1280, 1383, 267, 593, 513, 12380, 1062, 267, 1412, 657, 29624, 262, 7024, 912, 283, 7116, 2544, 1412, 1842, 1460, 12949, 262, 689, 23367, 23591, 270, 12221, 270, 7090, 273, 269, 276, 270, 1842, 1460, 12949, 18258, 322, 262, 11417, 763, 15259, 9074, 849, 3091, 3252, 547, 1265, 1271, 1344, 827, 707, 4087, 610, 827, 519, 1184, 269, 8074, 602, 3592, 782, 540, 891, 616, 2139, 1152, 593, 1133, 1460, 6438, 1949, 267, 711, 8837, 269, 594, 723, 8612, 2630, 1141, 789, 616, 2139, 593, 1875, 268, 4462, 1460, 5867, 563, 268, 1205, 322, 23424, 263, 2567, 16849, 519, 1699, 2324, 15682, 563, 268, 1205, 322, 342, 706, 263, 2567, 23893, 607, 1205, 322, 23424, 3890, 4849, 519, 8120, 5569, 568, 538, 1133, 545, 1712, 563, 268, 1205, 1122, 573, 263, 2567, 16849, 519, 1412, 324, 8997, 1895, 9517, 8339, 2201, 1133, 1460, 267, 3157, 949, 723, 1312, 2500, 543, 1483, 1895, 9517, 338, 269, 8074, 263, 2567, 7464, 543, 2500, 9517, 338, 616, 2356, 519, 1482, 267, 855, 3006, 789, 616, 711, 269, 1403, 596, 798, 711, 917, 602, 596, 991, 547, 2232, 891, 6927, 267, 596, 4440, 1810, 1405, 563, 268, 1205, 15710, 573, 263, 2567, 16849, 519, 1412, 324, 8997, 3593, 9517, 23823, 268, 1205, 326, 573, 263, 2567, 16849, 519, 1412, 9418, 1895, 9517, 262, 540, 519, 1184, 563, 268, 1205, 25364, 263, 2567, 16849, 519, 1483, 1895, 9517, 540, 519, 1184, 563, 268, 1205, 17989, 573, 263, 3671, 2567, 16849, 519, 1184, 1895, 9517, 267, 2921, 519, 1184, 9517, 630, 3671, 264, 540, 602, 1184, 607, 606, 4661, 269, 1403, 519, 533, 573, 568, 476, 271, 267, 519, 1184, 1895, 540, 519, 10912, 1184, 568, 8120, 563, 268, 1205, 17989, 337, 335, 263, 2567, 16849, 519, 9517, 540, 519, 1699, 1184, 1895, 269, 8074, 602, 519, 1184, 1895, 568, 711, 8209, 519, 1482, 607, 519, 1895, 9517, 540, 519, 1184, 269, 6713, 2516, 3335, 829, 1555, 547, 2816, 1852, 267, 711, 1895, 9517, 563, 268, 1205, 3671, 263, 2567, 16849, 519, 1483, 1184, 9517, 540, 519, 1699, 1184, 269, 901, 568, 2139, 896, 1312, 1133, 1460, 543, 8837, 563, 268, 1205, 653, 573, 263, 2567, 16849, 519, 1184, 9517, 540, 519, 2385, 1184, 563, 268, 4991, 573, 263, 3671, 2567, 6145, 1205, 17989, 573, 19572, 713, 3217, 519, 533, 573, 540, 513, 1184, 607, 606, 4661, 269, 898, 1287, 7024, 519, 1184, 8400, 32165, 540, 602, 1184, 269, 1403, 2016, 476, 271, 607, 606, 4661, 267, 1344, 593, 519, 10826, 550, 1184, 568, 8120, 563, 268, 1205, 340, 573, 263, 2567, 16849, 519, 1483, 3593, 9517, 540, 519, 1699, 1184, 563, 5415, 593, 1184, 9517, 338, 666, 581, 1224, 593, 6168, 2593, 781, 12380, 3135, 563, 26589, 609, 519, 15259, 9074, 781, 1205, 3252, 616, 519, 1305, 3252, 269, 3509, 540, 519, 1305, 3252, 9148, 519, 1205, 3252, 267, 543, 835, 991, 2356, 1152, 1689, 519, 1101, 4484, 269, 4107, 540, 519, 1062, 7125, 616, 2139, 1152, 593, 1133, 1460, 6438, 5867, 267, 2705, 930, 949, 581, 1031, 593, 8837, 267, 1932, 563, 268, 1305, 25364, 14116, 12952, 2567, 5590, 519, 1895, 1569, 1592, 540, 519, 1699, 1184, 269, 634, 4661, 2516, 568, 513, 5311, 540, 9981, 28408, 1895, 1541, 13294, 269, 1306, 713, 1289, 3322, 11889, 27704, 267, 621, 666, 1152, 581, 1572, 607, 519, 3597, 610, 11889, 3593, 593, 513, 1133, 1460, 6438, 1062, 563, 268, 1305, 326, 573, 14116, 573, 2567, 30498, 519, 1895, 9517, 540, 519, 1699, 1184, 563, 268, 1305, 17989, 337, 335, 263, 2567, 6282, 525, 513, 1007, 1184, 1895, 269, 7316, 8045, 267, 621, 3252, 676, 8429, 513, 1062, 1289, 540, 2901, 1305, 17989, 337, 335, 3890, 610, 1305, 17989, 337, 335, 263, 271, 267, 476, 271, 1040, 898, 1287, 7024, 519, 9517, 540, 519, 1007, 1895, 563, 268, 1305, 17989, 573, 263, 3671, 267, 533, 23950, 335, 2567, 25849, 338, 1184, 9517, 533, 573, 547, 1184, 1895, 533, 23950, 335, 269, 1403, 1312, 616, 3160, 267, 519, 1184, 3587, 519, 1184, 6205, 585, 519, 1895, 269, 1403, 21376, 267, 519, 1184, 568, 3773, 547, 606, 4540, 1895, 269, 7316, 476, 271, 568, 1031, 585, 533, 573, 267, 519, 1699, 1184, 568, 1031, 269, 1403, 476, 271, 568, 1031, 585, 533, 23950, 335, 267, 519, 1184, 9138, 676, 533, 573, 3587, 513, 1184, 1895, 6205, 563, 268, 1305, 516, 340, 573, 263, 745, 573, 267, 552, 340, 573, 2567, 30498, 519, 1483, 543, 2500, 3593, 9517, 540, 519, 10912, 1184, 563, 268, 1305, 2958, 573, 16868, 326, 573, 267, 19838, 573, 2567, 30498, 519, 1483, 543, 2500, 1895, 9517, 540, 519, 10912, 1184, 563, 268, 5036, 573, 263, 2567, 6282, 525, 513, 1007, 8400, 543, 7024, 922, 8400, 9517, 269, 29140, 9517, 338, 616, 3335, 1031, 585, 12363, 3457, 543, 949, 581, 1031, 547, 17982, 519, 6009, 2813, 1369, 873, 563, 268, 1305, 340, 573, 26086, 573, 2567, 30498, 519, 1483, 3593, 9517, 540, 519, 1699, 1184, 269, 15394, 267, 713, 1062, 1289, 3340, 11889, 630, 10174, 264, 22864, 563, 1103, 1840, 547, 3478, 543, 4259, 267, 5124, 781, 15259, 9074, 3091, 1896, 2147, 3252, 585, 1062, 7400, 12981, 269, 2353, 616, 2139, 593, 1133, 1460, 16755, 269, 8409, 2139, 593, 8837, 616, 6825, 2630, 563, 268, 669, 323, 597, 9638, 987, 2567, 7827, 519, 1699, 2324, 15682, 454, 268, 669, 10174, 9638, 987, 2567, 7827, 519, 3597, 15682, 540, 519, 1699, 1184, 563, 268, 524, 3410, 573, 263, 2567, 16849, 519, 32197, 540, 519, 1852, 12363, 585, 519, 1699, 1184, 607, 513, 5569, 563, 268, 535, 577, 323, 597, 6600, 323, 2567, 15448, 519, 1699, 2324, 15682, 547, 535, 323, 267, 513, 3758, 6934, 528, 547, 606, 8118, 15682, 563, 268, 2322, 523, 341, 263, 12534, 4067, 267, 1871, 2567, 5590, 519, 1604, 4756, 15254, 4067, 547, 5569, 1871, 269, 15448, 1934, 1860, 1016, 15263, 525, 3323, 609, 15259, 269, 17882, 19572, 1402, 523, 3890, 610, 23643, 3890, 543, 4291, 341, 14061, 630, 19989, 593, 1133, 1460, 543, 8837, 264, 715, 289, 281, 2201, 930, 5867, 630, 324, 3052, 1421, 5131, 7034, 291, 267, 5839, 13013, 2473, 1070, 4259, 679, 1333, 949, 2014, 3965, 20984, 269, 6744, 707, 1062, 781, 12319, 585, 2322, 523, 341, 14061, 1879, 2322, 523, 341, 3890, 568, 6462, 267, 10467, 547, 3688, 538, 15259, 269, 523, 1333, 616, 8850, 12261, 883, 7222, 7125, 547, 2322, 523, 341, 14061, 8074, 267, 2705, 267, 602, 7125, 547, 2322, 523, 341, 3890, 798, 711, 9337, 15259, 269, 523, 1333, 267, 865, 621, 568, 2965, 30074, 547, 3651, 547, 3688, 540, 15259, 269, 523, 1333, 563, 268, 1792, 337, 2928, 6262, 1712, 2567, 17776, 519, 5470, 5048, 7222, 547, 519, 5470, 3009, 538, 3009, 269, 630, 13510, 9005, 593, 1133, 1460, 543, 8837, 994, 268, 19804, 2532, 9852, 2532, 2567, 5590, 519, 1699, 25948, 19804, 2532, 543, 7024, 519, 3105, 19804, 2532, 269, 630, 13510, 9005, 593, 1133, 1460, 543, 8837, 994, 268, 796, 877, 263, 2567, 17776, 513, 24042, 540, 476, 276, 12673, 5627, 1344, 7114, 519, 1699, 5665, 1062, 281, 19523, 4067, 267, 12162, 17575, 267, 5305, 267, 4528, 267, 3684, 269, 2368, 1949, 959, 15635, 622, 519, 12162, 17575, 547, 476, 279, 3197, 610, 547, 519, 3056, 5057, 282, 513, 1732, 1259, 547, 1205, 519, 3984, 4067, 568, 23094, 3052, 996, 739, 4067, 3890, 610, 1256, 23094, 3052, 996, 739, 2421, 5417, 337, 4433, 12714, 3052, 996, 739, 4067, 3890, 1040, 901, 568, 2139, 1152, 593, 2487, 10366, 540, 1133, 1460, 563, 268, 796, 3553, 523, 341, 263, 12534, 4067, 2567, 24296, 1115, 519, 1604, 4756, 3957, 15254, 4067, 269, 0, 14937, 589, 2513, 819, 626, 25201, 454, 8138, 27583, 281, 634, 16572, 540, 11882, 563, 11854, 6033, 610, 2278, 281, 9375, 454, 6124, 4944, 1653, 610, 8313, 281, 2051, 1819, 1977, 630, 8146, 278, 910, 476, 7277, 273, 994, 763, 5856, 7125, 585, 606, 9029, 540, 519, 26568, 4031, 602, 6615, 519, 3979, 1977, 1004, 540, 11882, 563, 20373, 540, 3758, 4433, 2567, 835, 1085, 10165, 267, 1079, 897, 636, 2740, 267, 11356, 2985, 454, 763, 1570, 12286, 593, 713, 3135, 568, 1641, 547, 10677, 4027, 8259, 6382, 8612, 269, 634, 6054, 949, 581, 25735, 1863, 540, 5279, 538, 1022, 3898, 610, 5420, 267, 3177, 621, 568, 25735, 8308, 543, 711, 1031, 538, 513, 22801, 2796, 269, 634, 2707, 540, 519, 1570, 267, 519, 2160, 540, 24354, 8585, 1097, 4563, 589, 2513, 819, 626, 25201, 267, 1590, 581, 4857, 543, 519, 10677, 4567, 17019, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 268, 1323, 752, 654, 2426, 24175, 630, 10441, 280, 268, 13040, 278, 5084, 994, 268, 3571, 20727, 17965, 16444, 26527, 24652, 16444, 20289, 553, 752, 16210, 630, 13647, 274, 268, 12893, 271, 5084, 994, 268, 16444, 8330, 3120, 13158, 10109, 21065, 756, 656, 523, 630, 15836, 278, 268, 16328, 274, 5084, 994, 9199, 806, 540, 519, 8003, 540, 7195, 328, 454, 301, 1415, 15244, 540, 519, 6561, 540, 519, 8003, 540, 7195, 328, 666, 1869, 581, 2938, 543, 10272, 2221, 267, 1519, 912, 268, 2349, 534, 329, 784, 769, 2675, 3628, 454, 763, 2349, 534, 329, 784, 769, 2675, 3628, 568, 513, 3140, 882, 545, 602, 3568, 513, 5048, 538, 7195, 4042, 1893, 543, 729, 1500, 676, 16444, 918, 525, 926, 24953, 611, 1168, 320, 269, 901, 30115, 729, 1336, 538, 5842, 584, 918, 879, 327, 267, 3162, 9324, 335, 553, 541, 563, 268, 623, 836, 331, 777, 10224, 769, 2675, 3628, 454, 763, 623, 836, 331, 777, 10224, 30115, 568, 513, 882, 545, 540, 519, 7195, 4042, 10806, 799, 3568, 6835, 827, 10424, 17710, 971, 607, 772, 1485, 3570, 267, 20289, 777, 836, 639, 543, 1323, 752, 654, 2426, 24175, 269, 0, 14946, 618, 998, 5378, 2670, 5673, 2390, 513, 2603, 540, 5946, 23838, 602, 10038, 519, 1292, 7293, 543, 12214, 11941, 1898, 585, 21705, 15694, 17478, 269, 585, 476, 15094, 8485, 800, 3175, 4609, 593, 476, 6078, 3940, 269, 17186, 540, 519, 4093, 540, 519, 5985, 1382, 609, 2480, 753, 924, 6249, 12605, 4847, 721, 547, 5431, 476, 1691, 4609, 593, 476, 277, 5946, 607, 7525, 32358, 26828, 540, 589, 7838, 30641, 610, 12813, 298, 272, 269, 2271, 549, 769, 24087, 4925, 267, 15694, 17478, 5673, 2390, 1292, 7293, 543, 12214, 11941, 538, 519, 12270, 1591, 269, 32087, 538, 891, 616, 1298, 4592, 727, 30553, 267, 15694, 28198, 267, 1305, 909, 540, 519, 17299, 32605, 543, 1979, 11399, 1304, 566, 540, 1034, 15954, 1369, 519, 32605, 998, 519, 8108, 540, 2890, 30344, 2544, 10275, 6839, 5255, 648, 17960, 269, 590, 3563, 24885, 1749, 616, 1175, 9674, 689, 835, 1776, 2899, 1082, 540, 891, 14026, 723, 1044, 8737, 267, 543, 29299, 529, 568, 15748, 1310, 519, 11078, 24885, 1749, 616, 683, 2130, 519, 14669, 32605, 18635, 269, 27190, 1389, 538, 1022, 540, 519, 5773, 610, 741, 13796, 6718, 666, 1267, 538, 15694, 3765, 5498, 326, 12198, 267, 513, 5870, 602, 568, 2808, 547, 24946, 547, 519, 13120, 540, 23872, 10510, 2281, 543, 267, 950, 621, 4523, 538, 1480, 1373, 522, 14231, 267, 949, 581, 519, 2601, 3297, 13560, 12580, 630, 339, 5142, 3912, 476, 2641, 1070, 513, 1455, 1480, 1373, 22787, 4524, 269, 634, 7636, 14026, 602, 1267, 538, 15694, 17478, 616, 25358, 676, 1896, 5946, 269, 3509, 540, 891, 2356, 798, 711, 476, 29496, 1556, 268, 10844, 268, 273, 18261, 1599, 538, 10072, 855, 607, 6687, 4710, 514, 23838, 267, 12212, 1572, 7636, 3457, 630, 272, 267, 476, 273, 1040, 476, 29496, 1556, 268, 10844, 268, 273, 18261, 634, 3601, 540, 519, 3457, 616, 547, 513, 2462, 851, 4096, 656, 593, 519, 2067, 3601, 476, 29496, 1556, 268, 10844, 268, 273, 18261, 540, 631, 12195, 741, 1016, 28493, 269, 1280, 3236, 267, 519, 1379, 540, 2890, 30344, 2737, 547, 2322, 1927, 883, 17299, 838, 785, 956, 568, 9090, 5097, 1317, 540, 519, 1610, 4815, 2275, 8707, 3601, 540, 741, 1107, 543, 910, 30344, 6081, 1016, 28493, 630, 274, 1040, 11048, 267, 519, 2347, 1852, 540, 519, 15694, 17478, 3937, 538, 2230, 543, 1974, 5673, 593, 1896, 9431, 3940, 269, 3509, 540, 891, 616, 11476, 602, 2356, 798, 711, 1199, 5573, 15694, 17478, 630, 6507, 13580, 540, 476, 271, 269, 4962, 30916, 264, 610, 476, 271, 269, 22650, 630, 1262, 264, 616, 8612, 269, 630, 290, 264, 12856, 689, 519, 20104, 585, 22729, 540, 8485, 29952, 23838, 543, 1239, 6268, 540, 2185, 6381, 281, 700, 8104, 815, 954, 874, 848, 267, 715, 8016, 815, 476, 1240, 3108, 562, 665, 617, 31152, 10654, 267, 19739, 815, 476, 1240, 3108, 562, 665, 617, 31152, 10654, 609, 3063, 2126, 540, 476, 7742, 562, 300, 19739, 476, 4366, 274, 275, 585, 2063, 1079, 3108, 267, 31928, 335, 815, 476, 1240, 3108, 562, 665, 617, 31152, 10654, 609, 3063, 2126, 540, 476, 1911, 562, 300, 31928, 704, 611, 514, 543, 476, 1015, 631, 631, 294, 15171, 585, 2063, 1079, 3108, 269, 630, 291, 264, 11137, 11380, 540, 1239, 13939, 689, 8485, 800, 3175, 6268, 540, 476, 2190, 22678, 1080, 689, 1806, 607, 3989, 538, 630, 290, 1040, 630, 292, 264, 20587, 32635, 18305, 1459, 1369, 476, 3393, 276, 1164, 1582, 21873, 16125, 1369, 476, 277, 1240, 8485, 800, 3175, 4609, 269, 5457, 602, 476, 3451, 260, 540, 1034, 16125, 6474, 519, 5378, 5328, 10252, 1162, 7131, 298, 272, 630, 32188, 1242, 676, 1614, 6249, 14726, 1572, 595, 26501, 273, 267, 7131, 298, 272, 268, 272, 267, 543, 7131, 298, 272, 268, 273, 1070, 12813, 298, 272, 267, 589, 7838, 25605, 267, 589, 7838, 30641, 267, 543, 17252, 298, 273, 269, 1280, 22629, 540, 12813, 298, 272, 267, 649, 8246, 513, 1433, 1507, 2173, 1961, 9908, 28166, 267, 19739, 476, 4366, 274, 275, 267, 799, 2731, 568, 513, 1019, 5139, 549, 1790, 614, 573, 514, 821, 12045, 267, 1360, 2147, 538, 5943, 547, 19739, 476, 26562, 277, 630, 14808, 269, 590, 274, 288, 1040, 901, 6219, 29620, 12813, 298, 272, 630, 2975, 2004, 476, 278, 269, 277, 562, 300, 264, 609, 2362, 2824, 2032, 982, 621, 10525, 585, 519, 1644, 11747, 12813, 298, 274, 630, 2975, 2004, 476, 2735, 269, 275, 562, 300, 264, 799, 2824, 2032, 476, 29496, 1556, 268, 10844, 268, 273, 18261, 568, 2362, 982, 602, 540, 519, 5892, 6353, 12813, 298, 272, 28166, 19739, 476, 26562, 277, 630, 2190, 1040, 1677, 6023, 476, 29496, 1556, 268, 10844, 268, 273, 18261, 952, 519, 5985, 4307, 8040, 1813, 547, 19739, 476, 4366, 274, 275, 616, 538, 5329, 609, 16496, 12813, 298, 272, 22629, 267, 649, 5950, 1261, 17442, 2281, 689, 513, 555, 2096, 26593, 14001, 590, 25686, 10654, 883, 2527, 2923, 5627, 9870, 13066, 540, 19739, 476, 4366, 274, 275, 543, 8947, 1305, 2281, 676, 6375, 1993, 1663, 2803, 12412, 22794, 269, 2311, 19739, 476, 4366, 274, 275, 9830, 1063, 476, 7742, 543, 476, 4335, 562, 300, 267, 513, 2603, 811, 982, 476, 5952, 260, 540, 1034, 2281, 29802, 538, 1596, 564, 7469, 848, 609, 17893, 6897, 838, 785, 956, 630, 21691, 334, 26737, 282, 4453, 269, 590, 274, 289, 543, 595, 264, 543, 609, 8766, 2157, 540, 8685, 6081, 18325, 476, 272, 630, 307, 18510, 294, 272, 264, 693, 1298, 4592, 2345, 630, 14808, 269, 590, 274, 291, 543, 661, 1040, 19739, 476, 4366, 274, 275, 2126, 849, 8519, 519, 1298, 4592, 10095, 16315, 540, 519, 12813, 298, 272, 3146, 2993, 656, 8485, 334, 268, 788, 527, 2100, 936, 519, 6673, 290, 14727, 1016, 22780, 1591, 8257, 6296, 476, 1626, 630, 24922, 1626, 533, 32513, 28794, 264, 630, 1839, 264, 630, 14808, 269, 590, 274, 293, 264, 543, 8519, 519, 4744, 27937, 540, 14429, 514, 689, 15694, 3946, 630, 14808, 269, 590, 274, 294, 1040, 12465, 7262, 1025, 582, 6268, 6534, 602, 19739, 476, 4366, 274, 275, 2126, 27618, 519, 32661, 648, 6776, 10688, 10593, 540, 27503, 796, 514, 3031, 1243, 676, 22904, 574, 573, 1794, 3421, 476, 272, 289, 630, 289, 18510, 272, 289, 264, 543, 15509, 1839, 290, 267, 799, 7048, 593, 12813, 298, 272, 630, 14808, 269, 590, 274, 295, 264, 630, 2190, 267, 476, 2918, 1040, 3509, 540, 891, 7422, 616, 538, 5329, 609, 30737, 10474, 540, 12813, 298, 272, 267, 10834, 602, 519, 5985, 26737, 1813, 547, 269, 0, 21900, 2762, 568, 519, 5650, 267, 1148, 267, 543, 849, 2259, 540, 2921, 6337, 267, 1312, 6475, 1227, 610, 676, 1688, 267, 676, 14291, 1769, 883, 606, 5907, 1106, 676, 9001, 513, 8666, 9300, 610, 513, 1769, 25259, 6219, 899, 26278, 7260, 269, 1703, 616, 1079, 4909, 2409, 540, 3059, 10344, 281, 1448, 7146, 6879, 2393, 543, 849, 4274, 3059, 10344, 269, 8672, 7146, 1744, 2393, 10344, 3622, 3322, 9001, 519, 4342, 779, 3710, 2987, 8755, 3926, 269, 12333, 3059, 10344, 267, 2705, 267, 4749, 3322, 9001, 8755, 8279, 269, 1703, 616, 1082, 6272, 540, 10344, 269, 634, 1360, 1655, 1259, 547, 1451, 811, 827, 1585, 2010, 540, 10344, 568, 547, 1294, 1018, 1826, 540, 6337, 1719, 596, 563, 2750, 13630, 3318, 21706, 1491, 11147, 540, 2043, 267, 2470, 267, 14026, 543, 849, 7493, 5396, 269, 1358, 616, 2111, 547, 7001, 519, 8792, 267, 2943, 3136, 547, 581, 5430, 5471, 1227, 13267, 269, 1703, 616, 1896, 2010, 540, 4274, 3059, 10344, 269, 13910, 267, 4605, 267, 8666, 329, 16067, 1143, 267, 5386, 1148, 543, 849, 5251, 3059, 10344, 616, 2705, 513, 1906, 540, 519, 1114, 5686, 540, 12665, 538, 713, 1858, 269, 634, 2165, 2048, 21745, 1388, 10344, 685, 4016, 547, 1022, 2186, 540, 4990, 540, 4605, 3144, 1210, 606, 5907, 8254, 543, 849, 7828, 563, 17843, 6272, 540, 3059, 10344, 723, 1585, 30211, 543, 3853, 269, 2368, 616, 3144, 1175, 547, 581, 1500, 946, 540, 585, 4159, 269, 16514, 3059, 10344, 568, 835, 540, 519, 1034, 7986, 10344, 6272, 269, 5800, 11681, 10344, 14122, 8939, 513, 1641, 267, 2921, 513, 8666, 543, 1310, 602, 8499, 1818, 519, 4605, 1413, 4998, 563, 21545, 11681, 3059, 10344, 568, 1175, 835, 540, 519, 1034, 9053, 3584, 6074, 676, 23153, 3318, 21706, 269, 16514, 3318, 21706, 666, 9496, 513, 1268, 538, 606, 4013, 14764, 610, 513, 13680, 1604, 269, 1280, 14026, 971, 607, 16806, 16873, 267, 2823, 571, 8132, 568, 1419, 606, 5393, 1271, 851, 540, 519, 2680, 3059, 10344, 563, 19465, 10344, 25701, 547, 2921, 5961, 540, 5656, 269, 1703, 616, 1896, 23658, 20975, 1369, 2679, 3059, 10344, 269, 2290, 3236, 568, 4683, 2413, 269, 12124, 4207, 21706, 616, 4749, 4280, 547, 1491, 6337, 540, 6189, 689, 782, 5380, 607, 10353, 547, 1175, 10992, 856, 519, 4395, 540, 519, 2497, 563, 5194, 2186, 540, 10344, 6009, 21706, 960, 593, 568, 6752, 269, 11153, 4274, 2511, 21706, 3382, 3875, 1585, 5396, 269, 1452, 949, 1331, 1453, 779, 9660, 267, 7669, 338, 3726, 607, 1134, 607, 896, 18875, 269, 589, 23031, 1522, 13404, 593, 16806, 6337, 267, 2511, 12326, 543, 849, 10302, 3377, 269, 13910, 3318, 21706, 849, 3382, 14774, 3059, 10344, 543, 849, 4308, 609, 9176, 3631, 563, 7197, 1004, 723, 711, 4862, 540, 21266, 1154, 610, 8666, 329, 16067, 1143, 269, 570, 559, 1154, 5961, 616, 1346, 602, 723, 513, 1641, 3001, 538, 513, 1808, 4287, 1247, 519, 8254, 3788, 1869, 269, 901, 4640, 568, 1419, 8246, 585, 1344, 1065, 13024, 547, 2697, 519, 1655, 7285, 547, 4605, 8840, 1344, 269, 769, 6752, 10344, 267, 713, 4480, 568, 8246, 547, 1397, 513, 3364, 538, 513, 1114, 1769, 982, 922, 5304, 269, 1306, 606, 1383, 267, 513, 2203, 949, 581, 7604, 1078, 9849, 606, 20392, 1283, 1247, 606, 3606, 4528, 568, 7604, 1078, 538, 513, 5377, 13463, 8283, 575, 1144, 563, 21900, 20802, 723, 1585, 3059, 10344, 2994, 789, 946, 547, 2995, 741, 8941, 269, 1358, 3622, 960, 538, 4999, 609, 513, 2756, 19212, 269, 966, 728, 20802, 666, 1118, 946, 540, 513, 3059, 3381, 8254, 547, 4670, 741, 11042, 267, 9205, 30295, 607, 1134, 607, 2361, 1740, 269, 1358, 1310, 602, 12575, 519, 3381, 24056, 543, 1331, 2027, 2360, 547, 519, 3381, 24056, 547, 1118, 873, 3063, 993, 6748, 547, 2070, 269, 26597, 4274, 3059, 21706, 3382, 1007, 1873, 20564, 5396, 971, 607, 782, 5991, 1823, 15166, 1886, 1127, 267, 2797, 13313, 607, 1134, 607, 782, 5991, 1823, 17915, 676, 1210, 1585, 5907, 4342, 543, 3381, 17157, 2994, 563, 21545, 11681, 10344, 568, 513, 1826, 540, 10344, 602, 20502, 513, 1268, 779, 23141, 610, 1367, 2934, 269, 16514, 3059, 10344, 3217, 1747, 693, 2621, 971, 607, 12311, 26204, 267, 22653, 687, 267, 14512, 16873, 543, 849, 1585, 824, 4272, 2218, 2621, 269, 16869, 3059, 21706, 1599, 547, 2594, 519, 4644, 540, 519, 1888, 676, 3384, 513, 2571, 267, 2067, 1413, 267, 835, 602, 568, 2356, 6719, 1655, 676, 513, 4605, 23031, 269, 3627, 1488, 2466, 720, 700, 559, 14315, 454, 27288, 5158, 3059, 10344, 568, 513, 2186, 540, 3059, 10344, 602, 20502, 2831, 267, 1034, 1419, 5017, 267, 538, 513, 4259, 602, 5932, 513, 1114, 2186, 540, 1604, 585, 519, 3662, 269, 11153, 540, 519, 1585, 2010, 540, 3552, 2831, 10344, 2874, 540, 2470, 2070, 267, 7320, 8929 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3799, 2020, 7224, 269, 540, 32224, 616, 476, 4343, 269, 271, 7531, 1012, 7151, 476, 1321, 269, 275, 281, 8525, 476, 25313, 382, 370, 692, 1103, 1109, 314, 277, 14158, 258, 11192, 1379, 454, 258, 326, 1508, 1239, 10778, 299, 21223, 742, 284, 736, 1012, 538, 5998, 454, 23437, 318, 4594, 6767, 290, 284, 10219, 1012, 538, 16354, 454, 326, 305, 284, 277, 265, 1015, 1262, 268, 1691, 1012, 544, 270, 310, 454, 288, 21223, 742, 284, 4649, 265, 1015, 1262, 268, 1321, 1012, 538, 544, 1262, 273, 16482, 23437, 318, 4594, 6767, 306, 284, 271, 269, 279, 1012, 538, 16354, 454, 301, 284, 3953, 1012, 1297, 540, 9055, 454, 293, 284, 271, 269, 272, 1012, 476, 3586, 454, 303, 4671, 582, 14352, 275, 265, 293, 265, 23437, 318, 4594, 6767, 290, 265, 288, 21223, 742, 19422, 326, 305, 265, 23437, 318, 4594, 6767, 306, 265, 299, 21223, 742, 16732, 301, 268, 272, 4297, 16482, 2745, 834, 13707, 1379, 267, 623, 4671, 582, 815, 4939, 271, 269, 272, 325, 544, 310, 257, 260, 303, 4671, 582, 692, 13707, 1379, 267, 623, 4671, 582, 815, 476, 10844, 269, 275, 544, 310, 7531, 1012, 7151, 476, 1321, 269, 276, 2433, 8525, 476, 24374, 382, 370, 692, 1103, 1109, 314, 278, 14158, 258, 306, 7034, 12939, 1379, 454, 258, 326, 1508, 1239, 10778, 326, 321, 284, 275, 265, 1015, 1262, 268, 1556, 1012, 538, 544, 270, 310, 454, 288, 21223, 742, 284, 4649, 265, 1015, 1262, 268, 1321, 1012, 538, 544, 1262, 273, 454, 299, 21223, 742, 284, 736, 1012, 538, 5998, 454, 4594, 6767, 7272, 284, 272, 269, 4649, 1012, 2890, 2173, 454, 333, 284, 272, 269, 5379, 1012, 3586, 454, 309, 320, 284, 6795, 277, 271, 1012, 585, 519, 21958, 6775, 538, 544, 1606, 1262, 268, 272, 454, 309, 321, 14352, 273, 265, 333, 265, 309, 320, 8358, 4594, 6767, 7272, 16482, 23437, 24449, 284, 1911, 265, 1015, 1262, 277, 1012, 538, 21636, 454, 23437, 318, 309, 321, 284, 736, 265, 1015, 1262, 277, 1012, 538, 21636, 454, 321, 272, 284, 272, 16482, 321, 273, 284, 273, 16482, 303, 318, 628, 284, 9230, 2641, 265, 321, 272, 265, 288, 21223, 742, 19422, 326, 321, 265, 299, 21223, 742, 4297, 16732, 272, 23444, 23437, 24449, 7933, 601, 318, 309, 321, 4917, 303, 318, 628, 272, 284, 9230, 2641, 265, 321, 273, 265, 288, 21223, 742, 19422, 326, 321, 265, 299, 21223, 742, 4297, 16732, 272, 23444, 23437, 24449, 7933, 601, 318, 309, 321, 4917, 2745, 834, 306, 7034, 12939, 1379, 585, 519, 10782, 2013, 815, 4939, 271, 269, 273, 325, 544, 310, 257, 260, 303, 318, 628, 454, 2745, 834, 306, 7034, 12939, 1379, 585, 519, 1655, 2009, 2013, 815, 4939, 271, 269, 273, 325, 544, 310, 257, 260, 303, 318, 628, 272, 692, 306, 7034, 12939, 1379, 585, 519, 10782, 2013, 815, 476, 279, 269, 5780, 544, 310, 454, 306, 7034, 12939, 1379, 585, 519, 1655, 2009, 2013, 815, 476, 1704, 269, 3451, 544, 310, 0, 258, 1548, 568, 519, 4745, 5506, 540, 713, 1079, 27656, 777, 2621, 1644, 609, 29073, 13477, 2221, 781, 15937, 2496, 288, 13989, 2754, 814, 891, 1079, 27656, 777, 2621, 1644, 609, 2221, 781, 7464, 28925, 8957, 7284, 18863, 4815, 632, 28925, 6474, 1384, 1892, 7284, 18863, 4815, 632, 28925, 1341, 274, 281, 476, 272, 269, 6860, 692, 6701, 891, 2621, 8200, 610, 4830, 286, 898, 3085, 1405, 3100, 2312, 547, 803, 269, 1403, 789, 616, 4830, 594, 666, 12337, 519, 4745, 5506, 899, 281, 476, 272, 270, 276, 2608, 476, 272, 270, 272, 269, 6860, 1809, 952, 789, 616, 711, 594, 786, 991, 519, 19585, 5506, 540, 835, 540, 873, 780, 1892, 2052, 596, 2491, 873, 513, 3787, 2417, 286, 6496, 519, 1101, 1611, 7464, 547, 3094, 855, 4758, 513, 835, 3804, 1376, 286, 1107, 1109, 332, 1372, 28838, 2904, 476, 2764, 1412, 1626, 693, 476, 1626, 281, 6187, 454, 1892, 8786, 269, 681, 300, 910, 272, 4523, 952, 476, 273, 268, 271, 267, 476, 274, 268, 272, 267, 476, 275, 268, 273, 543, 865, 593, 630, 305, 300, 5288, 11083, 300, 1040, 1107, 1109, 1222, 13709, 16112, 334, 2904, 476, 2764, 1412, 1626, 693, 476, 1704, 281, 4391, 692, 1892, 834, 305, 300, 281, 910, 272, 257, 568, 519, 2680, 602, 7464, 28925, 1131, 3094, 676, 811, 982, 835, 3804, 454, 1892, 834, 4456, 281, 1341, 274, 257, 568, 519, 2680, 602, 7284, 18863, 4815, 632, 28925, 1131, 6336, 676, 7864, 982, 1614, 3853, 267, 610, 2721, 267, 610, 3094, 692, 4322, 2621, 941, 711, 4830, 269, 769, 1880, 952, 519, 1101, 2680, 1705, 711, 4755, 267, 596, 1223, 581, 1978, 602, 519, 2034, 1131, 4755, 269, 6684, 952, 519, 2034, 2680, 1705, 711, 4755, 267, 596, 1223, 581, 1978, 602, 519, 1101, 1131, 4755, 692, 2791, 1058, 711, 2503, 519, 13989, 2754, 547, 2709, 4023, 12918, 269, 1809, 952, 789, 1185, 1044, 4023, 1287, 596, 1223, 723, 1767, 602, 972, 941, 1614, 2009, 4093, 1384, 1892, 7464, 28925, 3094, 676, 1614, 610, 811, 3853, 267, 609, 5506, 3230, 272, 10559, 2765, 272, 346, 272, 269, 6860, 4153, 13627, 476, 271, 269, 271, 4343, 5379, 16465, 1892, 7464, 28925, 17993, 676, 4010, 1079, 3853, 267, 609, 5506, 6695, 2765, 346, 272, 2410, 276, 18511, 272, 10954, 2765, 272, 346, 272, 269, 6860, 4153, 13627, 476, 271, 269, 14065, 7918, 16465, 1892, 7464, 28925, 17993, 676, 4010, 835, 3804, 267, 610, 972, 568, 513, 2721, 610, 7284, 18863, 4815, 632, 28925, 17993, 267, 609, 5506, 3230, 272, 10559, 2765, 1428, 815, 476, 271, 269, 279, 9681, 1103, 1249, 519, 6474, 593, 476, 2764, 2904, 476, 1001, 277, 729, 513, 2721, 1310, 3230, 3445, 2330, 3764, 543, 1310, 3063, 942, 267, 609, 7464, 28925, 10888, 593, 20507, 267, 865, 519, 3791, 7872, 7018, 543, 519, 3230, 272, 269, 6860, 2330, 914, 6976, 1055, 267, 23344, 711, 1360, 1252, 3585, 0, 258, 744, 9536, 769, 2091, 540, 513, 10886, 2065, 1599, 692, 296, 4718, 713, 4542, 2221, 1384, 11377, 13992, 346, 303, 348, 1422, 3847, 314, 2473, 3436, 918, 1422, 2431, 316, 815, 1422, 2765, 346, 272, 2410, 273, 348, 1341, 1422, 2765, 346, 272, 7346, 7032, 348, 1422, 842, 318, 271, 23373, 13727, 1234, 13375, 263, 1422, 2765, 346, 324, 13064, 24926, 298, 4153, 12534, 12978, 26086, 20972, 24926, 348, 1422, 2431, 264, 5918, 9681, 8489, 4399, 12534, 12978, 26086, 7751, 568, 519, 8984, 1599, 540, 519, 4351, 4756, 1269, 311, 22174, 700, 317, 272, 10608, 594, 1590, 9090, 581, 7508, 1945, 2094, 594, 666, 1152, 1205, 547, 1384, 11377, 13992, 346, 303, 348, 1422, 3847, 314, 2473, 3436, 918, 1422, 2431, 316, 815, 1422, 2765, 346, 272, 2410, 273, 19570, 348, 1422, 842, 3709, 10559, 13727, 11892, 315, 13727, 1422, 2765, 346, 324, 13064, 24926, 298, 4153, 12534, 12978, 26086, 20972, 24926, 348, 5918, 9681, 2710, 1022, 540, 596, 856, 972, 917, 875, 547, 1397, 713, 286, 7102, 948, 1131, 581, 15874, 2439, 1012, 476, 272, 8382, 692, 296, 786, 1175, 2015, 519, 2013, 950, 1269, 311, 259, 814, 513, 7824, 780, 5575, 1577, 803, 5581, 519, 22263, 2981, 540, 513, 1599, 1269, 325, 3287, 7751, 547, 581, 1384, 11377, 1002, 346, 325, 12917, 342, 264, 815, 1422, 842, 18155, 13992, 23334, 3686, 535, 3287, 264, 324, 13064, 12685, 343, 348, 11459, 9681, 9616, 602, 649, 723, 519, 3961, 1384, 11377, 30848, 535, 267, 575, 1422, 26917, 815, 1422, 2765, 346, 272, 2410, 273, 19570, 4153, 30848, 1422, 1002, 346, 325, 9574, 1422, 1002, 346, 326, 348, 1422, 26917, 2330, 901, 568, 835, 4528, 540, 3474, 572, 1998, 781, 3961, 799, 17648, 1269, 325, 267, 326, 1422, 514, 700, 317, 272, 7268, 13992, 23334, 16585, 1422, 5115, 700, 317, 273, 7268, 13992, 23334, 348, 7751, 630, 520, 2547, 538, 519, 4528, 594, 6415, 5432, 609, 6393, 302, 330, 267, 1631, 8263, 602, 1269, 311, 259, 814, 930, 5860, 1599, 1269, 335, 3287, 30879, 1284, 2811, 3168, 693, 281, 1422, 8218, 9387, 15857, 1422, 842, 318, 298, 17353, 13727, 348, 533, 3287, 264, 15848, 17851, 1422, 842, 18155, 13992, 23334, 3686, 1422, 14024, 3709, 314, 298, 12101, 13727, 264, 12917, 343, 264, 533, 3287, 264, 15848, 8607, 17851, 1422, 842, 18155, 13992, 23334, 3686, 1422, 14024, 3709, 314, 271, 12101, 13727, 264, 12917, 343, 11860, 264, 533, 3287, 264, 15848, 1422, 754, 9387, 15857, 7316, 4399, 14024, 259, 568, 519, 8912, 13525, 1599, 865, 602, 4399, 14024, 3709, 314, 271, 12101, 13727, 264, 4151, 568, 519, 1261, 32713, 728, 1900, 1599, 269, 4635, 519, 1657, 3961, 267, 649, 723, 281, 1422, 8218, 9387, 15857, 1422, 842, 18155, 13992, 23334, 3686, 1422, 14024, 3709, 314, 298, 12101, 13727, 264, 12917, 343, 264, 533, 3287, 264, 15848, 17851, 1422, 2765, 346, 272, 2410, 273, 19570, 348, 1422, 842, 18155, 13992, 23334, 3686, 1422, 3847, 263, 1422, 2765, 346, 272, 2410, 12685, 348, 1341, 1422, 2765, 346, 272, 7346, 7032, 4153, 23169, 26028, 264, 1422, 2431, 264, 552, 13064, 328, 298, 342, 348, 1422, 1002, 22669, 12917, 342, 264, 546, 342, 8607, 17851, 1422, 2765, 346, 272, 2410, 273, 348, 1341, 1422, 2765, 346, 272, 2410, 273, 19570, 348, 1422, 842, 18155, 13992, 23334, 3686, 1422, 2765, 346, 324, 13064, 328, 298, 342, 348, 1422, 1002, 22669, 12917, 342, 20972, 12685, 348, 546, 342, 1422, 754, 9387, 15857, 8074, 602, 519, 22263, 2981, 540, 519, 1900, 568, 513, 3892, 630, 5408, 1934, 585, 3236, 1070, 543, 4399, 14024, 259, 568, 6157, 711, 538, 1269, 299, 317, 272, 259, 610, 1269, 299, 317, 273, 10608, 1924, 713, 3884, 1405, 607, 2011, 31259, 607, 621, 1223, 581, 693, 713, 1448, 780, 7661, 267, 2015, 519, 2034, 2165, 1384, 17961, 9387, 15857, 1422, 842, 18155, 13992, 23334, 3686, 1422, 2765, 346, 324, 13064, 328, 298, 342, 348, 1422, 1002, 22669, 12917, 342, 20972, 12685, 348, 546, 342, 17851, 1422, 842, 318, 271, 17353, 13727, 348, 1422, 2765, 346, 324, 3867, 328, 298, 342, 4153, 1002, 22669, 348, 8987, 342, 20972, 268, 12685, 348, 1341, 1422, 2765, 346, 324, 13064, 328, 298, 342, 4153, 1002, 22669, 12917, 342, 20972, 12685, 348, 546, 342, 8607, 17851, 476, 273, 315, 842, 318, 271, 17353, 13727, 348, 1234, 13375, 263, 1422, 2765, 346, 324, 13064, 328, 298, 342, 4153, 1002, 22669, 12917, 342, 20972, 12685, 348, 1422, 2431, 264, 546, 342, 1422, 754, 9387, 265, 10926, 7712, 4399, 1002, 22669, 348, 8987, 342, 264, 815, 1422, 1002, 22669, 12917, 342, 8203, 265, 8961, 519, 1950, 31669, 540, 4399, 1002, 22669, 12917, 342, 7751, 780, 1892, 1548, 827, 519, 2013, 602, 1269, 311, 259, 1281, 711, 723, 513, 5860, 1599, 888, 1700, 1109, 338, 1794, 454, 4467, 7757, 3057, 476, 866, 267, 476, 1001, 276, 693, 476, 1428, 281, 6321, 454, 1892, 554, 7825, 267, 9811, 267, 1134, 594, 15475, 513, 1114, 4661, 1131, 723, 547, 581, 1500, 269, 594, 3773, 513, 771, 25068, 547, 4063, 602, 594, 6415, 1175, 6236, 713, 2013, 2433, 264, 1290, 7757, 3057, 476, 866, 267, 476, 1001, 276, 693, 476, 1704, 281, 7918, 0, 2971, 10261, 3070, 585, 678, 323, 695, 12609, 13004, 1362, 476, 1321, 3184, 1473, 1030, 9548, 6715, 23552, 3635, 476, 1240, 269, 273, 2243, 476, 1789, 692, 7445, 11927, 1535, 266, 3813, 1535, 25239, 6911, 295, 842, 281, 1677, 4194, 713, 3830, 649, 786, 1039, 1269, 272, 266, 7562, 1535, 6911, 17961, 25410, 348, 1299, 315, 3667, 2715, 9717, 281, 7684, 1422, 842, 1422, 2765, 346, 272, 2410, 272, 10559, 7562, 1535, 348, 546, 1535, 11138, 1299, 315, 3667, 2715, 8827, 281, 7684, 1422, 842, 1422, 2765, 346, 272, 2410, 272, 10559, 7562, 1535, 348, 546, 1535, 11138, 1299, 315, 3667, 2715, 5564, 28745, 7684, 476, 272, 10954, 7562, 1535, 1422, 3667, 2715, 547, 19362, 543, 14009, 476, 27874, 1299, 7807, 842, 1422, 2765, 346, 272, 10954, 7562, 1535, 2410, 263, 272, 10559, 7562, 1535, 7565, 272, 10954, 7562, 1535, 14587, 546, 1535, 1422, 754, 25410, 10926, 17961, 25410, 348, 1299, 7807, 842, 1422, 2765, 346, 272, 10954, 7562, 1535, 7346, 3847, 263, 272, 10559, 7562, 476, 3867, 273, 348, 1535, 9368, 14587, 546, 1535, 1422, 15153, 13375, 24560, 8218, 15204, 2410, 331, 348, 630, 320, 1532, 7565, 320, 17070, 6661, 320, 3867, 273, 18511, 321, 3867, 273, 348, 8607, 476, 272, 10559, 7562, 476, 3867, 273, 348, 1535, 7807, 6523, 476, 3867, 273, 348, 1535, 1422, 754, 15204, 4153, 2431, 316, 8607, 1299, 7807 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1034, 4122, 12630, 649, 9429, 786, 578, 538, 519, 2136, 8003, 543, 4440, 19497, 1419, 5219, 547, 896, 519, 4408, 590, 269, 3777, 14125, 3821, 267, 590, 269, 620, 9346, 1412, 307, 2077, 529, 262, 543, 590, 269, 620, 9346, 15254, 269, 3857, 749, 2088, 1412, 303, 754, 3121, 23823, 5522, 5896, 607, 606, 25798, 543, 585, 11761, 1852, 269, 12518, 538, 2470, 616, 10419, 18050, 676, 1312, 6079, 543, 27191, 563, 1607, 3099, 568, 2067, 2213, 538, 1715, 3162, 12986, 267, 15117, 543, 7654, 31005, 807, 267, 949, 1106, 29528, 609, 824, 2249, 563, 309, 2975, 281, 634, 2160, 540, 24332, 22210, 2917, 28941, 563, 12534, 269, 694, 335, 592, 322, 1537, 529, 1284, 9429, 4024, 578, 454, 23536, 2406, 4857, 19497, 607, 590, 269, 3777, 14125, 3821, 563, 20332, 2213, 538, 15117, 543, 7654, 824, 2829, 267, 6140, 607, 4775, 2371, 563, 13126, 281, 630, 1960, 278, 1040, 6428, 545, 19687, 269, 769, 281, 1547, 29088, 12734, 7579, 320, 540, 3162, 3887, 6141, 5245, 269, 11730, 476, 273, 269, 10046, 1359, 2371, 269, 667, 545, 582, 344, 1194, 976, 269, 3487, 476, 272, 269, 634, 8446, 540, 4677, 543, 16916, 2371, 269, 2160, 540, 1715, 3162, 12986, 4964, 269, 0, 7312, 1863, 552, 26247, 256, 8450, 950, 621, 568, 711, 4502, 1210, 2480, 5300, 563, 257, 3963, 2480, 5300, 6496, 333, 1405, 4518, 257, 8281, 454, 5475, 519, 1184, 540, 5302, 2958, 908, 543, 735, 4979, 1239, 543, 4259, 909, 519, 1966, 267, 649, 616, 9277, 547, 4019, 519, 2556, 6620, 543, 2645, 547, 4194, 519, 1966, 269, 1215, 798, 649, 798, 602, 888, 300, 22389, 4804, 2488, 519, 4267, 547, 602, 269, 1717, 267, 1354, 3478, 519, 4267, 513, 2898, 2603, 540, 942, 814, 547, 581, 16539, 538, 7446, 519, 1318, 5690, 547, 1205, 2500, 543, 3432, 344, 4267, 547, 32462, 2042, 563, 5415, 982, 835, 11973, 1058, 581, 7318, 1317, 835, 949, 2285, 14909, 2164, 1247, 519, 824, 949, 26453, 582, 720, 519, 2203, 609, 922, 4681, 269, 4935, 267, 7811, 1702, 786, 2141, 948, 6218, 519, 2203, 1732, 269, 589, 3684, 786, 2141, 3132, 606, 6364, 543, 649, 723, 1100, 2856, 621, 568, 519, 2953, 835, 610, 711, 8259, 2576, 23456, 602, 856, 538, 938, 2203, 269, 1717, 267, 513, 15826, 6268, 949, 948, 721, 6952, 519, 1966, 543, 2057, 1818, 25064, 9073, 609, 18205, 2164, 269, 16214, 568, 3976, 1271, 649, 1175, 3112, 798, 2476, 609, 269, 898, 568, 1732, 547, 2057, 519, 14692, 540, 513, 8969, 950, 519, 3069, 540, 4039, 520, 13659, 1568, 865, 9244, 950, 649, 4308, 609, 1483, 3734, 1239, 799, 2115, 2009, 1480, 6304, 547, 581, 9916, 865, 602, 6191, 798, 711, 2285, 513, 17033, 7344, 2626, 563, 2005, 568, 2141, 1732, 547, 3442, 513, 1305, 4806, 547, 6218, 519, 1966, 865, 602, 596, 798, 711, 1821, 5573, 689, 1022, 1271, 4145, 269, 4530, 4498, 1145, 568, 513, 5544, 19295, 9535, 2268, 602, 3947, 513, 4023, 2268, 540, 519, 4502, 1465, 540, 519, 1239, 1305, 269, 4329, 3238, 538, 519, 5542, 540, 1449, 543, 2866, 14449, 543, 1585, 3800, 540, 2773, 547, 1118, 519, 1966, 6209, 543, 16367, 563, 7093, 17800, 543, 31962, 616, 519, 1614, 1292, 14573, 1031, 547, 6218, 3631, 540, 8760, 269, 769, 2665, 519, 1239, 568, 19514, 267, 8856, 543, 11291, 616, 811, 3730, 269, 1403, 1346, 14573, 616, 5916, 267, 519, 535, 1606, 14537, 568, 11117, 269, 589, 3152, 674, 268, 6060, 568, 2141, 9053, 538, 2013, 540, 519, 1482, 1297, 540, 4830, 4632, 538, 519, 2203, 563, 18404, 7879, 267, 2705, 267, 616, 711, 519, 1034, 2500, 543, 649, 723, 519, 7872, 543, 8244, 540, 1732, 3800, 547, 798, 519, 1482, 269, 1358, 1522, 2285, 721, 513, 7301, 2631, 540, 4126, 543, 606, 11234, 2856, 540, 6111, 563, 763, 3747, 585, 9952, 3301, 9367, 568, 7683, 3395, 1247, 519, 1297, 540, 2199, 15421, 568, 3908, 269, 1306, 513, 1267, 267, 3549, 3668, 4810, 9367, 1317, 538, 519, 2016, 1858, 972, 616, 711, 2614, 12665, 538, 513, 1978, 2029, 269, 1677, 7753, 519, 1966, 543, 1869, 581, 2111, 547, 1332, 609, 16805, 1004, 1472, 267, 3549, 3323, 8026, 16065, 4119, 7695, 269, 634, 3028, 2501, 20965, 2691, 596, 13991, 865, 1454, 942, 543, 2200, 267, 2870, 707, 813, 267, 606, 2228, 3760, 267, 610, 513, 1062, 267, 596, 666, 2887, 883, 513, 31605, 602, 707, 960, 1631, 568, 6368, 968, 323, 821, 6100, 7316, 538, 1249, 267, 8726, 596, 4547, 909, 547, 713, 1158, 814, 547, 581, 11179, 4824, 538, 1931, 547, 2743, 519, 2479, 19145, 2344, 3466, 269, 2755, 713, 568, 6654, 585, 930, 267, 519, 20965, 32381, 540, 2436, 596, 723, 606, 2856, 585, 513, 1587, 610, 707, 1587, 2907, 6818, 267, 7446, 547, 960, 593, 621, 609, 6552, 3301, 8030, 568, 513, 1390, 3375, 269, 1548, 779, 811, 267, 621, 779, 513, 4287, 538, 799, 1082, 3549, 616, 16144, 1318, 1631, 269, 3245, 835, 2427, 267, 972, 568, 519, 1699, 6855, 602, 14593, 930, 10909, 547, 1376, 8026, 971, 513, 4640, 855, 20965, 295, 9994, 8696, 476, 1708, 271, 21298, 538, 938, 2754, 649, 1185, 606, 4316, 547, 1404, 606, 8966, 3014, 269, 769, 519, 5736, 540, 513, 6855, 267, 1034, 540, 519, 2238, 979, 2228, 543, 621, 729, 1100, 1114, 713, 942, 2901, 269, 5221, 649, 899, 547, 8661, 782, 14812, 649, 4956, 547, 10891, 513, 19343, 3014, 1572, 16740, 1122, 334, 26415, 321, 31255, 269, 1306, 851, 540, 519, 3014, 267, 519, 5520, 941, 31218, 0, 30761, 2113, 1374, 9819, 286, 1923, 23968, 5622, 12226, 11321, 476, 4029, 267, 476, 1220, 279, 6440, 12226, 269, 7073, 19698, 2721, 1379, 540, 476, 273, 268, 1015, 24448, 269, 634, 1379, 630, 514, 737, 310, 264, 2838, 547, 2490, 513, 3440, 1984, 568, 4114, 13846, 676, 281, 623, 815, 476, 271, 269, 26326, 546, 630, 272, 269, 5881, 274, 18191, 264, 544, 562, 1141, 546, 568, 519, 4835, 8006, 538, 15432, 267, 795, 568, 519, 6824, 540, 519, 1984, 4320, 13026, 676, 2923, 267, 544, 568, 519, 2698, 2527, 540, 2923, 538, 519, 1984, 267, 538, 19726, 267, 543, 562, 568, 519, 1984, 3432, 267, 678, 10975, 14371, 4953, 589, 19532, 5588, 292, 454, 6011, 547, 5173, 519, 3119, 5397, 585, 513, 3440, 1984, 454, 6011, 547, 5173, 519, 3119, 5397, 585, 513, 3440, 1984, 269, 5851, 15955, 875, 547, 5173, 519, 3119, 5397, 585, 513, 3440, 1984, 282, 674, 1779, 966, 4211, 20199, 18280, 690, 910, 1234, 343, 333, 867, 269, 8881, 11872, 269, 674, 1779, 717, 792, 3220, 1161, 634, 674, 1779, 2012, 593, 519, 10591, 5397, 568, 519, 4136, 6471, 781, 3267, 4171, 3119, 3483, 568, 519, 6283, 540, 1004, 568, 711, 9516, 1547, 1692, 1677, 12433, 634, 11831, 7085, 2598, 8408, 12025, 17392, 6011, 547, 5173, 519, 3440, 1984, 11166, 2450, 3892, 269, 875, 547, 5173, 519, 3440, 1984, 11166, 2450, 3892, 269, 3156, 269, 3440, 14200, 616, 1336, 538, 5468, 607, 3309, 607, 20682, 543, 15183, 267, 1851, 1866, 1547, 6732, 6796, 269, 3848, 910, 631, 26827, 21822, 5058, 267, 590, 8379, 308, 6369, 3582, 267, 1547, 6011, 547, 5173, 1587, 2450, 3892, 585, 3440, 1984, 6011, 547, 5173, 3440, 1984, 267, 875, 666, 1775, 5173, 519, 1547, 875, 547, 5173, 513, 3440, 5279, 4452, 1377, 5599, 12669, 21395, 269, 875, 547, 5173, 513, 3440, 5279, 4452, 1377, 4224, 1818, 6886, 2450, 3892, 540, 8860, 2923, 630, 27750, 3267, 9732, 2859, 282, 15815, 582, 543, 8047, 1449, 5773, 585, 519, 1374, 540, 3267, 1692, 2052, 1284, 12433, 634, 681, 10975, 2986, 11831, 7085, 910, 524, 345, 3887, 340, 1215, 2052, 1284, 12433, 634, 681, 10975, 2986, 11831, 7085, 269, 631, 3739, 17726, 543, 16376, 18185, 910, 11426, 8512, 12991, 564, 269, 3776, 1863, 3432, 543, 3049, 9498, 666, 581, 1031, 547, 3313, 519, 32605, 3432, 630, 14641, 300, 264, 543, 3049, 2557, 630, 7709, 300, 264, 585, 519, 9138, 5969, 2175, 267, 607, 1134, 607, 1547, 845, 3121, 585, 12719, 562, 322, 15560, 538, 3440, 1984, 19878, 476, 4029, 267, 476, 1001, 278, 1547, 1063, 476, 7785, 543, 476, 9610, 271, 715, 568, 693, 476, 3583, 1700, 3199, 260, 540, 2565, 3432, 269, 10371, 519, 1379, 14405, 540, 3440, 14200, 666, 581, 7229, 607, 5205, 281, 3267, 543, 519, 5173, 2164, 616, 4299, 676, 519, 1984, 3259, 543, 8006, 267, 3440, 5860, 267, 3440, 11423, 543, 563, 6011, 547, 5173, 3440, 1984, 15205, 910, 959, 880, 3534, 563, 12709, 2457, 3436, 14086, 4033, 285, 4252, 4452, 9819, 538, 3440, 14200, 4033, 8865, 3440, 1984, 561, 10719, 1688, 2401, 554, 338, 3009, 3440, 20836, 619, 585, 4154, 575, 2246, 1263, 3440, 1984, 585, 3267, 5192, 12313, 875, 547, 5173, 30552, 320, 8020, 4452, 540, 3440, 1984, 1692, 1677, 12433, 25416, 15580, 2986, 11831, 7085, 6011, 547, 5173, 8860, 2557, 540, 3440, 1984, 1107, 590, 13696, 10724, 269, 1215, 547, 7447, 519, 25416, 2923, 5957, 2557, 585, 9160, 8860, 3440, 1547, 23645, 5192, 12313, 269, 8860, 2923, 4320, 538, 3440, 1984, 1547, 15697, 13693, 566, 269, 3440, 1984, 8860, 2923, 9819, 910, 1990, 523, 603, 8302, 585, 9042, 269, 595, 3737, 1692, 2052, 1775, 5173, 519, 5957, 2557, 540, 8860, 2923, 538, 3440, 14200, 3267, 6011, 547, 1265, 15335, 942, 540, 3440, 1984, 7824, 12709, 3436, 6011, 547, 5173, 1570, 12802, 942, 538, 267, 9819, 540, 3440, 1984, 15335, 942, 267, 5173, 3440, 1984, 21883, 4452, 7824, 3440, 1984, 973, 597, 1529, 908, 1547, 5530, 540, 15335, 942, 3892, 543, 1984, 3180, 5346, 267, 8281, 7300, 8281, 267, 5530, 540, 15335, 942, 3892, 543, 1984, 3180, 5346, 585, 513, 267, 681, 17092, 29124, 763, 593, 3613, 3195, 8990, 540, 3267, 20412, 622, 7504, 1379, 540, 513, 3440, 1984, 910, 1714, 25206, 6230, 1815, 531, 1529, 622, 678, 10975, 540, 3440, 1984, 1196, 340, 542, 3249, 269, 5173, 7504, 1379, 540, 513, 3440, 1984, 22391, 18704, 269, 4455, 476, 1428, 267, 476, 1001, 276, 5173, 7504, 1379, 540, 513, 3440, 1984, 267, 5179, 476, 27886, 876, 24605, 693, 476, 18597, 681, 15014, 609, 570, 11246, 3722, 26456, 6117, 23645, 30942, 282, 3440, 1984, 5179, 554, 335, 9819, 3733, 14134, 3427, 269, 9819, 540, 4358, 18165, 540, 513, 3440, 1984, 19783, 12313, 1547, 6011, 547, 5173, 519, 3440, 991, 538, 3440, 1984, 24280, 543, 8564, 11831, 7085, 11831, 12025, 585, 1547, 769, 25416, 267, 8939, 630, 20412, 622, 264, 519, 2953, 610, 19993, 3440, 2450, 602, 2636, 585, 519, 1655, 543, 19993, 270, 728, 531, 610, 3077, 20836, 2450, 547, 581, 6913, 676, 707, 3440, 1984, 3267, 1692, 1677, 12433, 634, 11831, 7085, 2598, 8408, 12025, 17392, 6011, 547, 5173, 519, 3440, 1984, 11166, 2450, 3892, 269, 875, 547, 5173, 519, 3440, 1984, 11166, 2450, 3892, 269, 3156, 269, 3440, 14200, 616, 1336, 538, 5468, 607, 3309, 607, 20682, 543, 15183, 267, 1851, 1866, 1547, 6732, 6796, 269, 3848, 910, 631, 26827, 21822, 5058, 267, 590, 8379, 308, 6369, 3582, 267, 1547, 6011, 547, 3313, 519, 4390, 540, 513, 3440, 1984, 910, 536, 537, 342, 2889, 329, 2131, 339, 290, 3201, 290, 8085, 12442, 645, 17920, 631, 21135, 31266, 2207, 631, 8432, 4211, 641, 11831, 7085, 6828, 3143, 269, 274, 6726, 566, 16376, 4390, 7085, 7516, 1547, 1215, 1677, 12433, 27519, 2986, 11831, 7085, 1547, 875, 547, 3313, 519, 4390, 540, 513, 3440, 1984, 875, 547, 3313, 519, 4390, 540, 513, 3440, 1984, 269, 26439, 545, 12891, 267, 1548, 621, 666, 798, 543, 875, 547, 7413, 8437, 513, 7121, 1657, 585, 2360, 540, 11849, 543, 875, 547, 2569, 922, 3267, 845, 3121, 18041, 476, 4375, 521, 547, 5173, 4398, 540, 3440, 1984, 845, 3121, 18041, 476, 4375, 521, 547, 5173, 4398, 540, 3440, 1984, 4542, 18041, 476, 4375, 521, 547, 5173, 4398, 540, 3440, 1984, 18738, 269, 7464, 3377, 267, 26940, 676, 1483, 3425, 13268, 539, 609, 519, 3466, 267, 3377, 1299, 6402, 596, 991, 547, 581, 5100, 267, 5483, 267, 543, 6619, 540, 519, 7455, 269, 6011, 547, 5173, 3440, 1984, 4398, 910, 15409, 8302, 3267, 4252, 1984, 4320, 9819, 4542, 547, 5173, 3440, 1984, 4320, 15205, 1923, 19783, 5240, 269, 4542, 547, 5173, 3440, 1984, 4320, 269, 5173, 3440, 1984, 1107, 32291, 269, 3818, 26654, 3440, 1984, 282, 14872, 1692, 547, 12433, 932, 1618, 568, 519, 4320, 540, 5279, 9732, 27146, 776, 3440, 1984, 4398, 9273, 15612, 566, 540, 11831, 7085, 269, 595, 3201, 290, 308, 6369, 3582, 5508, 645, 17920, 631, 21135, 16998, 18853, 5058, 661 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 7246, 294, 20911, 12087, 590, 7968, 2752, 2969, 27633, 737, 534, 564, 1815, 16691, 12459, 335, 454, 5353, 3005, 540, 6419, 3021, 2209, 543, 4967, 585, 14374, 3267, 9484, 9653, 676, 6419, 14941, 630, 323, 787, 264, 9484, 9653, 676, 17735, 3021, 1807, 630, 323, 787, 264, 589, 6419, 5102, 2917, 568, 1031, 563, 763, 6323, 540, 1930, 3766, 2784, 1304, 3819, 6419, 9668, 4429, 1607, 1957, 8039, 519, 1699, 1620, 540, 519, 3741, 540, 5106, 540, 1930, 3766, 2784, 1304, 3819, 6419, 3021, 2209, 269, 634, 6323, 540, 9668, 538, 1970, 543, 1164, 4429, 26670, 766, 618, 540, 11635, 18401, 689, 3267, 22219, 29791, 454, 17556, 601, 14708, 1793, 4711, 616, 2356, 9268, 585, 4401, 6051, 676, 3819, 6419, 9668, 269, 3267, 12186, 540, 9668, 3267, 634, 5439, 8659, 2067, 7509, 4429, 14813, 26475, 540, 1184, 6724, 540, 3819, 1164, 8515, 4429, 291, 787, 6419, 9668, 540, 6512, 539, 22104, 924, 795, 28771, 6356, 540, 1184, 4632, 540, 1079, 1114, 3819, 6419, 3021, 2209, 593, 22104, 924, 9668, 4398, 454, 324, 977, 540, 4393, 6886, 3152, 916, 22396, 322, 3820, 454, 324, 977, 540, 4393, 6886, 318, 634, 8177, 540, 5253, 14409, 593, 519, 715, 26798, 10866, 22219, 9827, 267, 3267, 1198, 540, 7509, 593, 1743, 1399, 6419, 9668, 3248, 300, 8568, 3021, 1807, 9137, 827, 6419, 3021, 1807, 454, 288, 3684, 585, 19459, 6419, 689, 1447, 6419, 610, 1875, 332, 8568, 2326, 3267, 3819, 6419, 3021, 1807, 267, 1164, 3267, 519, 1198, 540, 536, 32706, 7509, 593, 1164, 25774, 4429, 1692, 547, 7994, 543, 2422, 25080, 9484, 541, 2209, 654, 563, 1692, 1677, 8863, 5366, 543, 2422, 7395, 928, 307, 328, 290, 3021, 320, 307, 832, 8525, 2271, 6055, 296, 517, 476, 272, 3267, 17515, 676, 1210, 6419, 9668, 3267, 4006, 609, 1022, 1713, 7509, 1543, 786, 711, 4429, 300, 8568, 9484, 541, 2209, 5564, 1774, 322, 454, 300, 8568, 3021, 2209, 689, 5564, 1774, 322, 1683, 5021, 6632, 543, 3819, 6051, 543, 9668, 540, 6419, 5420, 3267, 15895, 2360, 602, 6419, 9668, 814, 593, 4429, 291, 5300, 3021, 2209, 5450, 810, 454, 291, 787, 1970, 8515, 6419, 9668, 5450, 810, 3819, 14941, 3021, 2209, 723, 1044, 3267, 7720, 626, 675, 3970, 538, 3049, 634, 3970, 540, 519, 7509, 1543, 7363, 454, 14737, 1968, 4393, 9504, 454, 1103, 519, 2361, 540, 1349, 633, 12669, 21395, 267, 7777, 4393, 267, 849, 1634, 607, 7626, 19703, 267, 568, 519, 1184, 540, 19459, 20749, 3407, 6886, 689, 741, 22714, 563, 268, 519, 1732, 1198, 540, 29404, 3684, 454, 268, 1198, 540, 1164, 5834, 540, 22670, 538, 11934, 454, 268, 1198, 540, 19236, 3440, 17819, 593, 519, 9325, 2450, 454, 268, 2890, 8860, 1198, 454, 268, 1164, 1198, 9553, 29404, 3684, 6455, 454, 268, 1198, 540, 7509, 538, 8860, 4154, 454, 268, 3440, 17819, 1198, 454, 268, 1198, 540, 678, 17892, 538, 4154, 5599, 454, 268, 1164, 1198, 29404, 3684, 609, 1970, 1942, 454, 268, 1198, 538, 513, 575, 10455, 2218, 8302, 0, 7072, 596, 917, 945, 596, 616, 596, 899, 547, 2328, 267, 17492, 267, 2721, 267, 5862, 267, 9380, 267, 8523, 267, 1685, 267, 610, 4497, 538, 930, 824, 3860, 2534, 269, 5398, 6389, 1257, 2200, 2200, 540, 1857, 6389, 2326, 16159, 281, 24440, 781, 6538, 540, 2228, 2835, 543, 4930, 4950, 1857, 5399, 281, 1082, 1857, 269, 12634, 2152, 538, 1072, 543, 1514, 1416, 1820, 15292, 267, 476, 1001, 276, 771, 25068, 281, 713, 1557, 814, 1044, 1416, 3947, 547, 6318, 547, 2152, 540, 6161, 547, 519, 1857, 269, 5272, 1079, 4374, 649, 15476, 513, 1007, 1279, 27322, 1557, 799, 11394, 547, 2709, 5813, 543, 8086, 2390, 1857, 6389, 1568, 543, 519, 540, 339, 15763, 12583, 799, 3295, 269, 1677, 1118, 519, 1158, 779, 2835, 3605, 762, 2228, 621, 814, 15068, 1279, 2614, 585, 519, 10677, 547, 1163, 790, 543, 519, 1433, 547, 4283, 519, 1857, 6389, 513, 1857, 6389, 1433, 269, 1452, 2164, 616, 15044, 676, 1034, 4143, 1101, 630, 17213, 539, 3406, 264, 596, 949, 849, 4990, 891, 676, 2681, 12773, 610, 1557, 3259, 563, 5226, 582, 573, 10005, 630, 330, 6851, 1892, 16210, 1892, 1372, 1892, 320, 1892, 3534, 264, 562, 476, 272, 519, 2244, 540, 4948, 267, 28125, 1919, 476, 273, 519, 2228, 735, 754, 1756, 540, 476, 22213, 1857, 26730, 664, 3594, 10023, 269, 16179, 7881, 538, 519, 1857, 6389, 281, 3594, 538, 519, 13919, 540, 1876, 543, 6214, 1007, 1196, 676, 795, 24944, 986, 345, 630, 529, 16818, 281, 476, 7818, 25171, 279, 2918, 6187, 280, 272, 264, 689, 32312, 781, 1433, 4558, 4948, 1970, 5777, 269, 476, 276, 1857, 6389, 1568, 540, 5929, 16897, 596, 666, 1224, 585, 1034, 540, 519, 27069, 4589, 262, 960, 568, 538, 519, 1857, 6389, 513, 4015, 540, 3594, 689, 18979, 269, 5398, 6389, 1857, 6389, 3605, 5215, 540, 1857, 6389, 2835, 19584, 2442, 2835, 1007, 13847, 5339, 1557, 630, 274, 264, 5904, 630, 273, 264, 1870, 563, 10666, 519, 1857, 6389, 630, 335, 323, 264, 676, 3771, 3272, 556, 573, 630, 10472, 729, 8385, 9102, 538, 519, 524, 323, 27412, 540, 3771, 3272, 781, 476, 1960, 271, 17581, 540, 2757, 2575, 10643, 5374, 1743, 643, 514, 262, 812, 269, 1703, 616, 1082, 2200, 593, 519, 1158, 2647, 1357, 602, 616, 538, 519, 1857, 6389, 630, 5408, 28957, 281, 21504, 6389, 1070, 543, 4061, 616, 11884, 26729, 593, 28957, 543, 922, 563, 14276, 6389, 666, 3277, 547, 2244, 602, 568, 896, 519, 1463, 1852, 540, 513, 2229, 267, 610, 547, 1148, 267, 3332, 267, 2575, 267, 610, 824, 7214, 3959, 602, 568, 1100, 561, 1348, 269, 1323, 1557, 593, 519, 13210, 540, 9511, 910, 19545, 4647, 607, 7824, 3758, 630, 23486, 1070, 1257, 3758, 630, 339, 868, 264, 610, 1224, 1433, 2228, 6138, 540, 536, 1068, 8681, 678, 639, 8688, 630, 6245, 278, 563, 9617, 1039, 9345, 910, 1857, 6389, 2835, 616, 513, 1390, 4199, 267, 855, 1810, 1405, 2887, 883, 1022, 20637, 269, 476, 277, 267, 27868, 17408, 1115, 3040, 476, 273, 267, 280, 866, 6337, 23218, 23450, 3040, 476, 274, 4281, 330, 13794, 2638, 856, 519, 5767, 17408, 1115, 689, 1857, 6389, 2689, 31822, 21504, 3256, 664, 516, 341, 269, 5192, 9499, 593, 24440, 1404, 10519, 543, 4688, 689, 519, 1158, 781, 4102, 19545, 32697, 1224, 267, 5031, 267, 543, 1491, 4967, 267, 2066, 1357, 267, 16979, 267, 543, 6049, 269, 0, 1692, 2290, 2052, 16473, 3571, 270, 15463, 5020, 3245, 9435, 454, 268, 1635, 2433, 1520, 2381, 454, 268, 21145, 2433, 28687, 1538, 528, 1242, 454, 268, 19410, 2433, 476, 271, 454, 4692, 1356, 568, 513, 2068, 799, 2047, 6937, 1272, 269, 1879, 513, 1268, 2501, 547, 917, 602, 646, 610, 1352, 568, 7092, 689, 2860, 267, 972, 786, 581, 513, 1533, 540, 8710, 543, 4965, 269, 901, 1272, 17116, 2068, 568, 10825, 5001, 543, 1297, 540, 3461, 779, 4679, 1554, 676, 1554, 269, 1703, 568, 711, 1152, 835, 1826, 540, 2860, 267, 1004, 616, 7092, 689, 269, 4653, 1004, 616, 7092, 689, 1585, 2010, 540, 2860, 267, 930, 616, 524, 9092, 543, 1906, 616, 711, 269, 1403, 713, 2068, 568, 8995, 538, 2038, 5933, 1287, 621, 949, 581, 524, 9092, 267, 855, 952, 621, 568, 9571, 543, 8995, 538, 2663, 5933, 1287, 621, 786, 581, 5906, 547, 1480, 1560, 543, 2164, 519, 2669, 540, 513, 1268, 563, 1432, 4010, 713, 2068, 568, 267, 711, 513, 1950, 2165, 269, 9435, 568, 3989, 607, 513, 2068, 799, 568, 3361, 676, 519, 23872, 7269, 540, 2281, 610, 5250, 540, 6084, 2293, 538, 1560, 269, 898, 568, 606, 9409, 2068, 799, 2899, 5526, 538, 1560, 1058, 581, 8995, 538, 922, 2038, 5933, 269, 6884, 1256, 1310, 23361, 267, 6084, 2293, 31272, 792, 563, 18933, 9564, 9040, 320, 10548, 22563, 9435, 6925, 454, 17843, 3029, 540, 11871, 543, 741, 3123, 454, 2467, 568, 1100, 2582, 1106, 540, 2860, 799, 568, 1336, 538, 1480, 1560, 269, 898, 786, 2408, 538, 1022, 1560, 851, 543, 519, 2014, 540, 1142, 2860, 568, 1114, 269, 2368, 1455, 3029, 540, 2860, 799, 616, 6140, 2938, 616, 8894, 1700, 11020, 6084, 2293, 454, 1700, 1323, 531, 2860, 454, 1700, 20506, 2860, 454, 1700, 595, 969, 673, 2860, 454, 1700, 25016, 2860, 454, 1700, 11829, 31041, 2860, 454, 1700, 23213, 2860, 454, 1700, 26640, 2860, 454, 1700, 2349, 9554, 2860, 454, 763, 1981, 2188, 602, 616, 7923, 547, 519, 2860, 949, 4268, 689, 1268, 547, 1268, 563, 763, 1034, 5432, 3815, 585, 2860, 17663, 540, 10269, 4616, 267, 30333, 267, 4598, 547, 5982, 267, 1454, 4598, 547, 3141, 267, 6464, 543, 824, 2326, 267, 1978, 10399, 267, 4551, 543, 8290, 267, 4719, 1686, 540, 2860, 267, 4057, 2732, 267, 4568, 267, 3668, 540, 2168, 2534, 543, 8377, 616, 930, 1455, 2188, 799, 616, 3743, 585, 2860, 538, 1560, 563, 3674, 898, 25792, 1677, 13958, 846, 3414, 4173, 2125, 454, 6097, 547, 32318, 20940, 320, 267, 938, 1560, 568, 1500, 909, 540, 1614, 546, 9655, 553, 269, 5940, 7875, 766, 538, 1022, 540, 519, 13121, 3873, 267, 2164, 538, 519, 3676, 538, 1480, 1560, 269, 4340, 547, 1273, 534, 329, 8932, 267, 2860, 568, 513, 2068, 799, 2115, 547, 581, 10826, 538, 922, 3355, 5933, 269, 634, 1292, 2601, 540, 938, 3676, 568, 519, 4636, 6197, 543, 4189, 6208, 269, 3689, 267, 835, 1058, 2953, 1010, 2732, 267, 7900, 930, 2168, 5751, 267, 10649, 543, 929, 534, 599, 600, 1932, 269, 9040, 320, 986, 1889, 341, 11955, 585, 2860, 616, 849, 1360, 3730, 563, 3383, 621, 568, 19624, 585, 782, 1004, 267, 945, 616, 7092, 689, 713, 14686, 2068, 1590, 9772, 519, 2067, 1259, 540, 7067, 543, 2972, 519, 1272, 25932, 563, 4322, 11955, 616, 1500, 909, 540, 11922, 543, 723, 1100, 2427, 2360, 7923, 547, 873, 269, 2368, 1360, 3730, 11955, 540, 15155, 22563, 585, 2860, 616, 6555, 5984, 23111, 571, 13225, 553, 2742, 267, 6555, 5984, 631, 4157, 3279, 16537, 328, 267, 6555, 5984, 16217, 1998, 320, 3443, 577, 600, 761, 338, 267, 6555, 5984, 705, 31137, 6390, 536, 13757, 2742, 267, 2820, 5984, 3623, 320, 5609, 706, 571, 267, 2820, 5984, 646, 518, 752, 536, 327, 11047, 267, 2820, 5984, 737, 534, 2559, 541, 1368, 1375, 21343, 267, 2820, 5984, 7254, 329, 822, 8643, 642, 10620, 267, 543, 1082, 1866, 269, 4340, 547, 1273, 534, 1690, 2993, 267, 11955, 666, 798, 4898, 538, 27955, 519, 17966, 618, 540, 519, 1268, 267, 855, 891, 4805, 3112, 798, 1134, 269, 8447, 2534, 267, 929, 534, 599, 600, 543, 10649, 616, 1360, 3730, 547, 1205, 10826, 269, 0, 24478, 633, 1603, 3450, 2093, 2093, 585, 513, 3860, 1603, 1576, 1544, 3860, 1603, 3992, 4566, 543, 2238, 3119, 27160, 11915, 1153, 3860, 1603, 2238, 585, 3119, 1153, 875, 547, 4001, 3860, 1603, 547, 10026, 1153, 1053, 2081, 547, 4001, 10026, 3860, 1603, 2093, 585, 3860, 269, 16179, 3450, 3860, 1603, 538, 519, 3119, 1153, 281, 10508, 267, 1303, 823, 267, 8300, 281, 10508, 267, 1303, 823, 267, 8300, 676, 5672, 331, 639, 5652, 630, 529, 16818, 281, 476, 7818, 30033, 276, 2190, 29344, 276, 264, 689, 32312, 781, 1433, 4558, 4948, 1970, 5777, 543, 1863, 6765, 593, 14718, 9753, 269, 14400, 568, 519, 3501, 942, 540, 1032, 585, 513, 5544, 540, 3860, 1603, 8300, 1762, 4337, 5209, 547, 2322, 4050, 547, 1957, 609, 938, 3992, 4566, 543, 2093, 269, 2986, 23264, 1434, 2259, 1383, 6029, 875, 10453, 538, 14500, 2070, 3119, 1153, 1831, 1434, 693, 1603, 998, 2500, 3450, 269, 769, 2206, 12940, 267, 519, 3119, 7005, 21038, 3340, 1053, 547, 2328, 606, 1557, 713, 2022, 786, 4001, 596, 519, 9238, 593, 875, 547, 2328, 513, 5888, 269, 1215, 547, 4001, 3860, 1603, 3860, 1603, 568, 835, 540, 519, 1034, 11791, 2010, 540, 1603, 585, 1053, 711, 1152, 1281, 621, 1450, 1053, 547, 2263, 741, 4337, 5209, 267, 855, 621, 2337, 873, 547, 2497, 741, 2093, 543, 3132, 1603, 602, 563, 12041, 281, 737, 622, 24060, 1676, 3860, 1603, 538, 519, 21738, 1153, 1775, 993, 513, 3119, 4116, 945, 814, 6026, 585, 936, 476, 1015, 1296, 543, 1775, 1631, 960, 693, 519, 4116, 1565, 3060, 607, 513, 1788, 11464, 1775, 723, 513, 6612, 585, 1603, 267, 3226, 2094, 476, 1001, 271, 950, 1775, 4941, 547, 1020, 8885, 607, 513, 5856, 543, 607, 513, 4116, 540, 1603, 3384, 269, 1548, 798, 649, 991, 547, 4001, 1210, 519, 2596, 14908, 540, 7005, 9306, 1344, 2093, 543, 4606, 17396, 569, 543, 5693, 476, 280, 5933, 540, 1603 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 2942, 3344, 780, 8893, 476, 273, 281, 22547, 540, 5303, 16902, 1218, 543, 30404, 16505, 10843, 338, 454, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 2141, 22521, 8176, 28726, 1185, 713, 547, 2161, 827, 1272, 538, 476, 1708, 271, 912, 17606, 568, 519, 2085, 540, 7326, 267, 621, 568, 519, 2085, 540, 18174, 880, 1145, 267, 621, 568, 519, 22184, 540, 3661, 267, 621, 568, 519, 22184, 540, 5335, 592, 640, 267, 621, 568, 519, 4005, 540, 8752, 267, 621, 568, 519, 4005, 540, 14730, 1145, 267, 621, 568, 519, 5614, 540, 4126, 267, 621, 568, 519, 5162, 540, 21817, 3034, 11039, 267, 6148, 28726, 7012, 1406, 1603, 827, 4563, 22032, 17460, 267, 1948, 9288, 32451, 267, 11528, 10168, 267, 3043, 17979, 267, 2353, 595, 3591, 3657, 645, 770, 1841, 267, 11686, 642, 269, 24068, 267, 519, 5682, 1715, 20958, 267, 1473, 3394, 1436, 540, 9945, 267, 13044, 268, 866, 267, 2804, 9376, 23957, 267, 513, 1269, 29340, 5479, 17211, 267, 610, 1022, 540, 519, 824, 814, 6255, 4711, 267, 25197, 725, 267, 909, 5142, 902, 610, 1608, 600, 885, 5996, 6160, 532, 2797, 267, 2804, 543, 1514, 11407, 2221, 269, 13298, 267, 646, 729, 1603, 827, 519, 552, 557, 540, 519, 3943, 7169, 563, 21953, 1010, 630, 338, 2775, 569, 12012, 264, 6679, 1899, 689, 589, 26626, 540, 5565, 20079, 6770, 547, 2247, 2221, 779, 16580, 540, 29287, 1480, 3356, 609, 8471, 6433, 543, 1582, 268, 629, 10864, 566, 607, 3362, 607, 621, 1281, 519, 476, 9965, 271, 338, 269, 1656, 621, 779, 711, 1175, 538, 28726, 269, 22108, 547, 519, 3943, 4860, 565, 583, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 19445, 7169, 543, 15536, 9798, 257, 607, 851, 540, 834, 19615, 1315, 2342, 1315, 4279, 6628, 1315, 476, 2641, 560, 11416, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 1133, 515, 731, 966, 7860, 910, 634, 8056, 580, 7949, 15232, 538, 7489, 1977, 1299, 7414, 29474, 17826, 692, 5970, 596, 2479, 2219, 827, 1018, 621, 1797, 547, 581, 606, 19366, 286, 1323, 19366, 568, 2576, 945, 7575, 547, 513, 1007, 2197, 547, 2661, 269, 3509, 11082, 4734, 741, 5321, 547, 1265, 1732, 3255, 610, 9101, 2352, 3871, 269, 1358, 3068, 1082, 2591, 15268, 547, 513, 1007, 1747, 267, 1519, 1565, 513, 1007, 1893, 267, 1818, 2828, 267, 543, 17501, 883, 513, 1114, 2528, 269, 4653, 267, 649, 2811, 2469, 547, 2263, 9954, 2854, 676, 7489, 1977, 543, 7414, 29474, 11082, 602, 2671, 741, 2189, 2833, 780, 5575, 267, 1577, 781, 2911, 827, 930, 2474, 596, 1522, 7237, 1247, 2542, 891, 3532, 1568, 269, 1411, 949, 1294, 1913, 899, 1412, 10520, 10086, 1412, 14054, 1875, 8410, 14127, 10086, 543, 1412, 12061, 1532, 2435, 9538, 1452, 1913, 4766, 875, 1004, 1745, 3330, 3823, 741, 4008, 3961, 1765, 6011, 789, 13498, 2933, 607, 5256, 267, 4775, 267, 1312, 267, 610, 9444, 269, 3690, 2043, 949, 2697, 609, 513, 4008, 824, 982, 519, 835, 8655, 693, 4332, 267, 1247, 1875, 1532, 2435, 11570, 1810, 1405, 3514, 14553, 1369, 5256, 610, 4775, 6688, 269, 13834, 1875, 8410, 14127, 4016, 547, 1004, 4171, 4082, 3085, 1405, 1246, 2757, 8155, 2404, 609, 9038, 610, 8951, 780, 3086, 267, 4952, 1373, 606, 19366, 945, 14439, 607, 835, 540, 891, 12790, 25469, 269, 674, 5217, 7130, 1759, 593, 707, 4008, 8591, 1776, 4494, 540, 6988, 547, 10188, 1272, 538, 513, 1007, 2244, 269, 1677, 948, 721, 1174, 713, 6560, 1732, 267, 1934, 616, 1079, 11121, 15023, 543, 741, 2984, 780, 22437, 564, 476, 272, 281, 3967, 823, 590, 777, 580, 7776, 454, 13202, 823, 590, 777, 580, 7776, 568, 513, 21309, 2088, 1977, 10564, 267, 5856, 267, 543, 19829, 4535, 538, 5842, 8277, 267, 4993, 269, 4173, 3237, 3357, 547, 3013, 607, 11082, 10478, 585, 513, 17321, 2104, 269, 1306, 513, 2034, 22831, 1126, 540, 11082, 267, 1352, 1419, 12066, 956, 609, 1200, 2686, 4282, 543, 9060, 24176, 998, 6965, 269, 2290, 540, 1200, 8037, 10070, 568, 834, 19859, 577, 2354, 585, 7085, 687, 2437, 799, 7710, 4798, 971, 607, 2029, 267, 1920, 1686, 267, 543, 21939, 269, 2701, 3096, 1200, 3760, 547, 24244, 26173, 9739, 543, 10575, 3424, 2950, 540, 2681, 780, 22437, 564, 476, 273, 281, 7909, 966, 340, 784, 454, 302, 4117, 966, 340, 784, 729, 4535, 538, 15223, 580, 517, 630, 852, 14208, 15616, 3687, 327, 4975, 1070, 10476, 267, 543, 6659, 538, 19134, 5112, 267, 21086, 269, 3571, 1920, 19679, 2112, 268, 9545, 3042, 10476, 5275, 3106, 543, 6617, 269, 19663, 909, 1063, 4529, 267, 646, 5185, 3875, 9465, 855, 1336, 9675, 538, 3332, 269, 1261, 6591, 6284, 609, 1010, 26813, 4015, 267, 834, 301, 697, 21708, 2060, 1401, 527, 654, 2432, 2437, 799, 4465, 1896, 20380, 17758, 269, 3414, 1010, 6151, 543, 7925, 14235, 267, 646, 8843, 1010, 3460, 607, 513, 20210, 19176, 19366, 12423, 5128, 9624, 14488, 780, 4322, 12703, 5159, 7618, 721, 602, 1256, 1498, 1272, 666, 581, 4101, 585, 11082, 267, 2523, 1346, 945, 2697, 607, 1098, 267, 4008, 1875, 8410, 14127, 267, 610, 1875, 1532, 2435, 267, 972, 568, 2141, 4055, 585, 4126, 543, 2208, 269, 1635, 4687, 741, 2123, 15322, 267, 789, 17362, 519, 1259, 585, 811, 6041, 543, 1620, 540, 3309, 2833, 780, 12244, 912, 2414, 15052, 707, 4276, 609, 891, 6909, 15023, 267, 2119, 1603, 707, 1378, 6648, 6273, 676, 741, 960, 256, 14484, 2390, 1022, 942, 596, 5433, 899, 606, 16080, 3187, 610, 17388, 609, 4466, 707, 1747, 269, 5457, 267, 972, 3884, 1405, 1175, 835, 1318, 1259, 547, 2769, 3054, 282, 9784, 5876, 543, 5169, 1275, 256, 9523, 707, 13144, 609, 15032, 543, 1865, 1018, 596, 4121, 827, 6568, 267, 1582, 22325, 267, 543, 519, 19366, 1995, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9558, 267, 4008, 1875, 8410, 14127, 267, 543, 1875, 1532, 2435, 1004, 723, 711, 1044, 10704, 538, 519, 11806, 8656, 266, 3350, 563, 763, 11806, 8656, 266, 3350, 602, 649, 7198, 538, 8613, 267, 1820, 2923, 267, 543, 538, 519, 1876, 568, 15866, 513, 3043, 267, 14447, 267, 543, 24940, 3350, 269, 1717, 267, 950, 835, 5654, 3297, 519, 10207, 267, 649, 7198, 519, 3929, 267, 2168, 267, 543, 5289, 4074, 540, 3185, 6996, 267, 1004, 540, 2681, 267, 543, 1346, 945, 7947, 519, 4008, 9352, 563, 763, 5168, 568, 281, 634, 11806, 8656, 266, 3350, 1223, 723, 2760, 2097, 547, 15287, 952, 621, 14201, 1406, 585, 519, 3742, 7589, 267, 4187, 267, 6043, 267, 543, 7903, 3724, 27490, 20243, 676, 1098, 267, 4008, 1875, 8410, 14127, 267, 543, 1875, 1532, 2435, 3401, 540, 2681, 563, 25748, 267, 606, 3742, 5467, 540, 938, 3135, 29499, 593, 938, 9365, 2985, 269, 634, 5467, 6045, 602, 789, 4769, 1406, 917, 2614, 1098, 267, 4008, 1875, 8410, 14127, 267, 543, 1875, 1532, 2435, 1004, 540, 2681, 269, 769, 1249, 267, 519, 5467, 6829, 602, 519, 1152, 3401, 789, 1223, 2697, 616, 4666, 563, 1607, 568, 519, 1045, 529, 2225, 543, 2144, 5501, 602, 594, 993, 1603, 538, 3210, 547, 563, 2005, 779, 711, 602, 1098, 267, 4008, 562, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 3412, 332, 580, 7949, 15232, 257, 607, 851, 540, 834, 17269, 4953, 23802, 1315, 1977, 1315, 7489, 1977, 1299, 7414, 29474, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 15272, 22895, 11208, 543, 4065, 21816, 324, 1359, 281, 4980, 22899, 519, 16520, 13669, 757, 540, 8751, 6563, 692, 7072, 692, 1103, 2221, 781, 3728, 19550, 1158, 267, 2029, 814, 1831, 606, 7533, 851, 540, 1762, 2937, 1272, 269, 634, 4950, 3091, 3875, 3255, 585, 1582, 22325, 543, 5876, 267, 2523, 585, 1346, 945, 4865, 5339, 15421, 269, 1306, 7855, 543, 23003, 267, 938, 1909, 3322, 13057, 891, 2043, 2509, 19713, 741, 1761, 998, 5499, 5867, 543, 2502, 2238, 269, 901, 3184, 12538, 883, 519, 1523, 540, 6107, 30023, 543, 2069, 24749, 267, 4481, 1369, 519, 2796, 540, 5807, 7924, 1983, 1851, 1762, 5830, 269, 1635, 3695, 1585, 7270, 543, 7317, 2645, 267, 649, 786, 1451, 875, 547, 3927, 1489, 543, 5000, 10708, 13197, 3860, 1603, 3853, 1247, 5466, 741, 2189, 2115, 543, 7375, 780, 296, 269, 4197, 4653, 781, 8479, 19536, 454, 288, 269, 18567, 540, 2413, 18295, 5830, 454, 289, 269, 18601, 1455, 2591, 5185, 676, 1762, 4589, 454, 290, 269, 11154, 532, 3450, 2409, 547, 8597, 547, 1114, 1565, 6163, 454, 291, 269, 20876, 519, 3310, 540, 1514, 2923, 543, 3059, 2528, 593, 6107, 3332, 4616, 543, 5137, 692, 2862, 269, 674, 29183, 27065, 3414, 6732, 15107, 13257, 454, 288, 269, 11137, 540, 2228, 2950, 2966, 585, 1762, 3988, 543, 5830, 454, 289, 269, 24167, 519, 2640, 543, 19363, 540, 5691, 5054, 585, 5339, 1646, 454, 290, 269, 8865, 1353, 281, 1323, 538, 3829, 2079, 540, 8431, 618, 910, 922, 2934, 267, 3593, 1995, 267, 543, 1764, 593, 18295, 5830, 692, 7656, 269, 20074, 13229, 22895, 1681, 11150, 454, 288, 269, 26787, 3972, 543, 29037, 1063, 23003, 543, 6497, 4315, 454, 289, 269, 18964, 16268, 9880, 543, 9263, 5955, 454, 290, 269, 21344, 5583, 543, 13190, 538, 14637, 5339, 2208, 454, 291, 269, 16424, 3356, 543, 14577, 4485, 9935, 692, 4353, 269, 4354, 908, 31999, 8249, 585, 2349, 2105, 4804, 22604, 454, 288, 269, 23889, 2757, 543, 4207, 3872, 2326, 454, 289, 269, 4112, 334, 1746, 19180, 7221, 547, 3986, 8223, 543, 6278, 454, 290, 269, 22034, 1930, 21299, 12240, 543, 24921, 712, 1027, 1065, 21627, 1559, 547, 4228, 10333, 543, 538, 1816, 4369, 692, 309, 269, 25732, 11773, 543, 28518, 8177, 454, 288, 269, 15043, 4879, 7355, 1808, 547, 6107, 30023, 3292, 5059, 593, 7924, 1646, 454, 289, 269, 11814, 532, 12007, 543, 11050, 1239, 689, 5171, 543, 8639, 454, 290, 269, 16792, 4681, 547, 13217, 543, 2087, 5571, 7341, 692, 9654, 269, 7351, 12367, 543, 8892, 21126, 454, 288, 269, 30855, 5841, 4987, 543, 3684, 1565, 6620, 547, 2123, 1125, 1565, 2833, 454, 289, 269, 22716, 1944, 4763, 267, 9698, 267, 543, 10014, 538, 6107, 3332, 454, 290, 269, 4165, 4602, 908, 6932, 4066, 543, 24099, 2994, 538, 15321, 1143, 543, 30023, 692, 6962, 692, 2026, 7855, 543, 13538, 7722, 538, 6107, 30023, 543, 2069, 267, 8508, 6639, 7760, 2636, 721, 547, 1732, 1921, 609, 543, 8300, 519, 1985, 5108, 540, 16805, 1762, 5830, 269, 1635, 12561, 513, 13857, 1620, 540, 741, 4162, 267, 7375, 267, 543, 2591, 267, 649, 666, 3927, 11753, 2228, 5867, 899, 8431, 618, 883, 20762, 1565, 4485, 602, 6536, 5876, 267, 2565, 3206, 267, 543, 2792, 1983, 269, 769, 3257, 865, 267, 649, 3565, 547, 2679, 7524, 2950, 540, 15400, 6267, 8149, 547, 23429, 519, 1158, 998, 741, 1913, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 27077, 357, 5269, 741, 14812, 5789, 787, 1299, 6505, 269, 19255, 2835, 585, 3214, 540, 782, 6502, 269, 32273, 357, 19845, 27073, 27749, 9890, 454, 13014, 741, 14812, 5789, 787, 1299, 6505, 269, 15562, 8008, 715, 8582, 9890, 454, 277, 4279, 15750, 2572, 585, 24635, 19536, 454, 3528, 476, 10216, 2173, 541, 773, 5493, 1067, 563, 2005, 779, 3078, 950, 707, 1433, 11988, 7141, 3045, 25555, 1010, 610, 1200, 4566, 547, 581, 513, 5856, 269, 1809, 14038, 666, 581, 513, 1710, 1157, 344, 2603, 281, 952, 519, 4079, 538, 741, 2729, 616, 1932, 9599, 610, 1932 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2304, 5811, 540, 14033, 6363, 1752, 9442, 454, 1103, 713, 2376, 267, 649, 1865, 875, 715, 15598, 3961, 19027, 666, 581, 1031, 547, 13182, 519, 9163, 540, 2043, 676, 25935, 1344, 998, 741, 6054, 563, 18794, 519, 667, 313, 821, 2146, 543, 1205, 519, 2407, 4759, 1995, 12282, 7765, 1280, 5131, 454, 5804, 751, 25393, 338, 547, 2228, 3381, 7125, 543, 689, 535, 1314, 6191, 547, 15737, 267, 519, 2792, 1797, 723, 7960, 24215, 269, 3767, 519, 1158, 814, 17146, 689, 29040, 5121, 547, 12616, 6771, 267, 519, 4950, 1373, 519, 1034, 1713, 2203, 563, 3086, 12997, 1004, 798, 711, 1616, 547, 7227, 585, 30491, 282, 6835, 616, 2366, 543, 4607, 538, 1984, 1047, 6948, 269, 7073, 20261, 8924, 616, 606, 1383, 540, 621, 269, 18734, 2590, 1804, 6119, 729, 513, 1966, 585, 4213, 538, 519, 2250, 267, 607, 621, 1223, 1491, 3108, 547, 4452, 269, 17497, 267, 21438, 6531, 4859, 568, 4758, 2653, 1569, 547, 1239, 9170, 538, 1100, 942, 563, 6097, 547, 930, 4966, 267, 12616, 568, 711, 513, 5150, 1259, 540, 2792, 1317, 621, 666, 581, 11360, 539, 269, 1403, 713, 568, 3020, 1287, 1946, 1004, 616, 1869, 1210, 12616, 630, 310, 328, 19712, 264, 538, 741, 3232, 6296, 286, 634, 2601, 568, 602, 2792, 3246, 2533, 723, 17956, 621, 693, 519, 5207, 1377, 609, 5934, 8458, 540, 943, 516, 1136, 563, 3086, 1004, 616, 1210, 5491, 6486, 585, 538, 3613, 648, 543, 2228, 11033, 269, 1677, 2149, 713, 1826, 540, 6213, 2792, 267, 972, 568, 513, 991, 585, 513, 5150, 543, 2656, 2792, 7154, 269, 2311, 713, 1377, 2282, 2361, 2792, 630, 301, 15598, 264, 666, 4625, 16783, 609, 519, 1164, 3354, 543, 3432, 7569, 563, 8139, 715, 15598, 5303, 513, 9779, 14568, 454, 301, 792, 2361, 2792, 630, 301, 15598, 264, 568, 513, 3908, 24365, 3346, 1652, 2029, 602, 3096, 5925, 325, 15968, 6329, 585, 5365, 6771, 269, 15439, 715, 15598, 568, 513, 15410, 540, 5925, 23151, 8446, 630, 27184, 2839, 264, 609, 513, 1079, 17574, 6771, 269, 5565, 715, 15598, 10276, 12574, 3457, 666, 6494, 543, 4309, 1239, 950, 7404, 547, 1142, 824, 563, 15650, 540, 715, 15598, 15051, 454, 301, 15598, 3457, 616, 5258, 883, 2185, 2010, 1759, 593, 741, 5106, 12331, 912, 5649, 518, 8862, 31581, 281, 715, 15598, 3457, 666, 4309, 543, 10141, 1239, 689, 715, 15598, 13365, 269, 6987, 24219, 1344, 689, 513, 5100, 16968, 610, 6679, 513, 1880, 3896, 568, 513, 1434, 1383, 563, 8248, 518, 3562, 6261, 17621, 630, 303, 273, 303, 2567, 5565, 715, 15598, 10276, 12574, 19269, 607, 5985, 11436, 666, 20049, 1239, 998, 513, 2582, 7148, 269, 6201, 1331, 29402, 267, 15261, 19712, 267, 610, 954, 577, 4474, 1344, 609, 5691, 1870, 6486, 563, 25205, 2506, 1637, 281, 901, 7154, 568, 1031, 585, 11033, 538, 623, 5308, 1949, 267, 1141, 606, 715, 15598, 3926, 1568, 607, 606, 5007, 31554, 269, 16353, 11436, 957, 607, 5100, 6486, 998, 799, 1239, 568, 2366, 543, 4607, 563, 310, 790, 1652, 932, 1173, 532, 281, 901, 568, 519, 1034, 4359, 2203, 540, 715, 15598, 1031, 585, 12123, 1507, 594, 5588, 3457, 899, 29402, 610, 5100, 342, 520, 2583, 269, 898, 2636, 12616, 12123, 540, 909, 547, 476, 272, 2914, 3430, 1379, 563, 1432, 1677, 21673, 3245, 715, 15598, 538, 519, 8892, 454, 763, 3556, 8569, 5823, 4384, 919, 715, 15598, 3957, 607, 715, 15598, 8569, 19027, 543, 1631, 824, 6080, 616, 849, 1210, 621, 269, 634, 2344, 2450, 540, 715, 15598, 5829, 4066, 568, 9472, 539, 547, 3914, 2475, 476, 4097, 269, 280, 5479, 676, 476, 1708, 276, 267, 609, 513, 2208, 2557, 540, 476, 1691, 269, 273, 10065, 6168, 782, 4359, 5985, 11436, 723, 715, 15598, 3988, 538, 873, 269, 898, 568, 10567, 602, 3556, 8569, 786, 581, 16309, 676, 16389, 538, 519, 4947, 1296, 563, 2026, 715, 15598, 2029, 630, 577, 2354, 543, 3988, 264, 616, 4742, 1455, 267, 621, 666, 849, 581, 11368, 883, 824, 4238, 269, 3509, 6608, 616, 10128, 715, 15598, 13365, 538, 7329, 6486, 543, 1780, 7964, 269, 634, 3561, 19027, 666, 581, 5340, 538, 513, 1732, 1259, 1317, 715, 15598, 13365, 666, 1406, 581, 23652, 269, 10815, 2168, 2230, 543, 1804, 1239, 8066, 12588, 609, 4396, 3354, 666, 5372, 30040, 9479, 563, 301, 15598, 3961, 19027, 666, 581, 1031, 547, 13182, 519, 9163, 540, 2043, 676, 25935, 1344, 998, 741, 6054, 269, 24371, 602, 616, 538, 3406, 540, 6325, 543, 5150, 19027, 2409, 1058, 3442, 715, 15598, 8446, 3435, 269, 901, 786, 16102, 741, 9055, 1247, 4758, 519, 1655, 6075, 2533, 563, 302, 11017, 687, 6829, 676, 667, 313, 821, 20334, 616, 741, 1378, 269, 0, 268, 7490, 2638, 543, 6085, 13366, 1934, 563, 300, 19318, 31853, 4804, 454, 300, 19318, 5578, 1565, 3340, 519, 1852, 543, 5610, 540, 513, 2039, 540, 15128, 543, 6114, 547, 581, 2111, 547, 1685, 519, 5551, 5179, 4305, 269, 1215, 666, 649, 2491, 267, 1489, 267, 610, 3589, 875, 1004, 1451, 891, 1983, 286, 11153, 1565, 6436, 723, 1044, 2919, 547, 2491, 875, 1565, 5179, 1983, 4386, 543, 1018, 22262, 2043, 547, 1451, 543, 1689, 563, 273, 269, 4197, 16359, 31853, 4804, 607, 13565, 547, 19239, 3588, 454, 21511, 800, 1475, 20373, 1475, 32622, 538, 674, 2948, 1475, 32622, 18830, 2008, 347, 272, 269, 2480, 1335, 320, 7869, 13466, 300, 19318, 1565, 3322, 5571, 3157, 602, 9337, 519, 11291, 543, 6284, 540, 16885, 334, 21082, 1344, 689, 17873, 543, 11263, 269, 634, 3210, 6724, 630, 324, 3052, 1421, 3432, 543, 3196, 264, 616, 9138, 2687, 547, 6740, 1702, 540, 519, 2164, 13954, 454, 347, 273, 269, 634, 20525, 2316, 300, 3201, 3069, 540, 5179, 1565, 13466, 30696, 525, 593, 12423, 519, 2953, 14292, 1935, 547, 1489, 8404, 543, 4287, 540, 5179, 1565, 547, 519, 5551, 6364, 540, 519, 5179, 4305, 13954, 454, 347, 274, 269, 15465, 20509, 7869, 13466, 17780, 593, 519, 13429, 602, 5042, 1062, 568, 3908, 607, 2324, 3965, 666, 1152, 4558, 543, 1184, 513, 1507, 2179, 540, 1344, 585, 513, 1906, 7643, 13954, 454, 347, 275, 269, 8734, 823, 268, 2750, 13630, 27795, 543, 20982, 2259, 3741, 13466, 14946, 618, 540, 4274, 5179, 2773, 5673, 593, 6024, 20982, 2259, 4824, 676, 4693, 7146, 268, 19587, 1565, 543, 6462, 676, 3617, 15569, 13954, 454, 347, 276, 269, 22365, 4034, 618, 7869, 13466, 17780, 593, 519, 11984, 1063, 1367, 779, 3350, 1582, 23655, 1145, 2934, 1644, 547, 3350, 4393, 543, 3375, 1818, 13954, 454, 763, 7127, 568, 689, 476, 1015, 269, 26552, 271, 7933, 329, 3445, 277, 24879, 279, 454, 268, 23413, 525, 1723, 267, 700, 269, 12983, 538, 5959, 6437, 1646, 543, 1689, 269, 808, 269, 19239, 269, 3447, 269, 476, 1960, 276, 267, 476, 6795, 267, 476, 9032, 1700, 15704, 563, 268, 717, 5585, 2006, 267, 717, 5919, 3794, 639, 7219, 267, 589, 5919, 9652, 267, 654, 5919, 6931, 267, 808, 269, 634, 6433, 538, 1439, 16599, 545, 2069, 281, 7351, 5380, 543, 2994, 585, 1689, 269, 808, 269, 7736, 617, 269, 476, 1220, 276, 267, 476, 4029, 267, 476, 14838, 1700, 28360, 563, 268, 5062, 301, 958, 267, 631, 5919, 667, 7342, 267, 667, 5919, 700, 1052, 267, 645, 5919, 717, 895, 267, 570, 269, 589, 5619, 540, 1439, 16599, 545, 7264, 685, 8456, 827, 513, 4876, 538, 5959, 2069, 269, 808, 269, 7736, 617, 269, 476, 1220, 273, 267, 476, 2764, 267, 476, 30020, 1700, 6795, 275, 563, 268, 26427, 267, 717, 5919, 2871, 20044, 601, 267, 623, 5919, 3171, 559, 267, 623, 269, 4635, 2055, 547, 7520, 5179, 5578, 11601, 269, 808, 269, 19239, 269, 3447, 269, 476, 1960, 278, 267, 476, 8618, 267, 476, 6321, 1700, 4792, 563, 268, 654, 1512, 514, 1188, 267, 661, 5919, 10925, 339, 655, 753, 267, 966, 5919, 4210, 4883, 523, 267, 590, 5919, 8709, 6008, 28086, 515, 267, 667, 269, 16869, 2773, 593, 513, 5691, 4641, 11191, 1062, 269, 808, 269, 19239, 269, 3447, 269, 476, 1220, 278, 267, 476, 10170, 267, 476, 4037, 280, 1700, 278, 5780, 563, 268, 12736, 940, 267, 570, 5919, 5689, 14653, 571, 267, 715, 5919, 27587, 267, 681, 269, 15766, 908, 606, 5470, 1652, 1565, 1935, 585, 3384, 5959, 1766, 894, 4480, 1983, 281, 589, 12681, 1353, 269, 20195, 269, 808, 269, 19239, 269, 3447, 269, 476, 1001, 279, 267, 476, 2420, 267, 552, 3583, 277, 1700, 324, 278, 1691, 563, 268, 25391, 2664, 329, 12027, 267, 808, 5919, 623, 944, 2023, 267, 808, 5919, 7665, 6202, 267, 808, 5919, 744, 8775, 329, 753, 267, 681, 5919, 2142, 2131, 267, 623, 5919, 27587, 267, 681, 269, 23206, 543, 942, 10148, 538, 829, 24632, 2173, 19318, 1565, 543, 2773, 281, 19019, 267, 21658, 267, 543, 5578, 1377, 269, 3117, 4109, 269, 595, 1758, 269, 476, 1001, 272, 267, 476, 736, 267, 476, 25090, 1700, 16348, 563, 268, 17054, 1633, 518, 267, 700, 5919, 18722, 267, 966, 269, 589, 1007, 2392, 334, 28118, 1439, 16599, 545, 9074, 281, 28518, 1565, 543, 7145, 269, 808, 269, 19239, 269, 3447, 269, 476, 1001, 272, 267, 476, 4037, 267, 476, 31620, 1700, 3374, 280, 563, 268, 12312, 660, 698, 267, 667, 5919, 4446, 342, 12245, 267, 681, 5919, 670, 6160, 10458, 267, 631, 5919, 853, 778, 333, 1170, 267, 966, 269, 2776, 12641, 25766, 1439, 16599, 923, 281, 589, 5619, 10838, 4436, 5959, 3506, 269, 2271, 269, 7736, 617, 269, 808, 269, 476, 1220, 279, 267, 476, 6078, 267, 476, 279, 8287, 1700, 279, 6924, 563, 268, 25941, 2401, 267, 715, 5919, 26396, 267, 808, 5919, 7066, 1076, 267, 590, 269, 6356, 540, 1439, 16599, 545, 6293, 6023, 8006, 593, 11346, 2773, 269, 808, 269, 7736, 617, 269, 476, 1960, 277, 267, 476, 2420, 267, 476, 8099, 1700, 9340, 563, 268, 25941, 2401, 267, 715, 5919, 16110, 267, 570, 5919, 22757, 603, 267, 645, 269, 17240, 335, 2450, 538, 12387, 1513, 281, 25613, 1573, 11582, 593, 10237, 21106, 269, 808, 269, 17327, 269, 23488, 559, 269, 476, 1220, 275, 267, 476, 4029, 267, 476, 278, 5038, 1700, 278, 7597, 563, 268, 3687, 267, 700, 5919, 962, 684, 3620, 14241, 267, 700, 5919, 1627, 21628, 267, 670, 269, 1323, 20979, 688, 10364, 5872, 2203, 1759, 593, 1489, 6152, 9695, 585, 6268, 540, 1439, 16599, 545, 5935, 5578, 269, 769, 18619, 540, 519, 20959, 4139, 10985, 593, 29790, 543, 29119, 574, 7497, 630, 4629, 10292, 302, 1070, 590, 1415, 320, 267, 3624, 267, 476, 1428, 1700, 1240, 5412, 476, 1220, 278, 282, 6032, 269, 476, 277, 1704, 1700, 25118, 563, 268, 4432, 11860, 880, 25596, 267, 631, 5919, 10609, 531, 2378, 267, 918, 5919, 27587, 267, 681, 5919, 12736, 940, 267, 570, 269, 6356, 540, 5470, 1652, 1565, 593, 519, 11601, 540, 5386, 5179, 1983, 538, 840, 12641, 25766, 1439, 16599, 923, 269, 3243, 269, 7736, 617, 269, 808, 269, 476, 1708, 272, 267, 476, 5325, 267, 476, 6246, 1700, 7871, 563, 268, 4432, 11860, 880, 25596, 267, 631, 28629, 5919, 10609, 531, 2378, 267, 918, 5919, 744, 1372, 327, 267, 681, 8160, 269, 10318, 1456, 519, 1764, 540, 21500, 593, 1053, 685, 4791, 2773, 538, 1439, 16599, 923, 269, 808, 269, 19248, 756, 1695, 269, 1133, 643, 269, 2405, 269, 2233, 269, 476, 1708, 272, 563, 268, 4432, 11860, 880, 25596, 267, 631, 5919, 10609, 531, 2378, 267, 918, 5919, 12736, 940, 267, 570, 269, 1215, 547, 13724, 20963, 16359, 31853, 4804, 538, 19239, 3588, 269, 2271, 269, 808, 269, 19239, 269, 476, 1708, 272, 267, 476, 1708, 272, 267, 476, 272, 1700, 279, 563, 268, 5576, 28704, 267, 681, 269, 589, 28203, 3069, 540, 15768, 5179, 5578, 1565, 269, 5369, 565, 269, 4860, 269, 476, 3192, 276, 267, 476, 11025, 267, 476, 18597, 1700, 18605, 563, 268, 654, 5285, 267, 717, 5919, 10197, 628, 11445, 924, 267, 681, 269, 19630, 1944, 2773, 998, 17271, 8404, 543, 3007, 585, 1565, 281, 634, 20525, 2316, 300, 3201, 3069, 540, 5179, 1565, 269, 5369, 517, 269, 18409, 269, 4860, 269, 476, 1001, 277, 267, 476, 2537, 267, 476, 15946, 273, 1700, 15221, 275, 563, 268, 4210, 11839, 267, 808, 269, 15465, 4452, 1282, 1966, 6061, 281, 12186, 593, 1565, 269, 595, 1758, 269, 2233, 269, 476, 2735, 279, 267, 476, 1321, 267, 476, 27038, 1700, 26326, 563, 268, 667, 9445, 325, 639, 267, 670, 5919, 667, 9445, 325, 639, 267, 590, 5919, 2098, 1228, 327, 267, 700, 269, 9650, 936, 3684, 281, 634, 1379, 540, 1480, 20932, 543, 6791, 538, 519, 5736 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 519, 1646, 543, 6388, 540, 15931, 11650, 593, 519, 21578, 3760, 286, 1280, 26784, 267, 519, 2101, 3017, 538, 1063, 519, 11670, 5741, 543, 519, 21578, 5741, 568, 602, 519, 5449, 1281, 711, 723, 513, 12044, 4604, 543, 585, 602, 2601, 568, 1930, 547, 2188, 689, 782, 15211, 540, 1272, 269, 634, 21578, 5741, 1642, 2074, 538, 513, 1454, 811, 14931, 1604, 269, 4475, 267, 24455, 16462, 547, 3565, 547, 519, 1788, 1058, 705, 728, 676, 513, 3009, 540, 2932, 563, 2026, 585, 519, 6009, 5817, 519, 21578, 25957, 267, 789, 616, 1312, 20678, 547, 2709, 3755, 609, 513, 6216, 20642, 1259, 547, 7119, 538, 519, 18228, 5385, 269, 634, 2101, 3604, 538, 1063, 519, 1079, 616, 602, 519, 11670, 7014, 1281, 711, 946, 519, 19577, 2986, 3117, 7185, 630, 303, 8016, 264, 1184, 602, 519, 21578, 5741, 2306, 946, 540, 269, 769, 1840, 267, 972, 786, 581, 606, 4674, 547, 11753, 519, 1034, 2487, 18031, 656, 1756, 22010, 602, 786, 2333, 519, 25382, 540, 519, 3060, 269, 1452, 1079, 21441, 1522, 6961, 547, 581, 7496, 547, 7127, 585, 1761, 1870, 5411, 267, 2705, 789, 798, 2099, 1271, 3604, 563, 4002, 519, 835, 1688, 267, 519, 11670, 8378, 814, 2965, 1185, 930, 12959, 609, 922, 3646, 547, 4336, 922, 3060, 269, 2201, 519, 824, 1688, 267, 519, 21578, 5741, 814, 3144, 606, 10728, 1935, 547, 4336, 519, 3060, 1247, 849, 21365, 25382, 4145, 269, 1306, 606, 6364, 267, 519, 1079, 3785, 616, 17935, 547, 3761, 1585, 2081, 540, 23312, 269, 769, 4334, 547, 519, 9045, 25493, 18471, 14456, 267, 799, 5059, 593, 2810, 519, 3625, 2450, 267, 519, 21578, 5741, 786, 581, 2111, 547, 2936, 3986, 906, 547, 519, 29031, 311, 7014, 602, 2333, 4308, 3432, 543, 5786, 10997, 269, 769, 4334, 547, 519, 11670, 5741, 2048, 338, 4640, 547, 2333, 519, 2698, 3761, 267, 519, 21578, 2319, 786, 581, 2324, 593, 13302, 519, 2557, 540, 7161, 24776, 829, 8792, 563, 763, 18228, 2460, 540, 519, 12380, 7690, 543, 519, 11670, 1133, 15905, 5948, 2099, 513, 3044, 2203, 540, 10350, 602, 12662, 606, 8561, 593, 2178, 2146, 7589, 543, 519, 13319, 540, 13618, 269, 901, 2203, 540, 10350, 814, 2965, 1044, 7550, 676, 3875, 7856, 3498, 2516, 607, 513, 1797, 540, 7829, 741, 3785, 563, 763, 1713, 3017, 1063, 519, 1079, 5867, 2501, 689, 519, 1249, 602, 519, 11670, 8378, 568, 6140, 1582, 17466, 267, 1247, 519, 21578, 5741, 26770, 519, 9525, 540, 19379, 547, 1489, 922, 1646, 269, 1635, 4334, 267, 519, 21578, 3060, 568, 1930, 547, 2188, 945, 786, 3565, 3009, 547, 519, 21578, 3301, 3498, 10518, 267, 8108, 1018, 568, 1634, 607, 968, 13892, 585, 802, 968, 563, 9617, 899, 1022, 824, 1930, 2707, 5647, 267, 1454, 15784, 27788, 519, 2078, 538, 1063, 519, 12380, 7690, 543, 519, 21578, 5741, 269, 5637, 723, 17947, 1114, 1448, 540, 5784, 593, 875, 547, 20923, 946, 519, 18228, 3693, 540, 519, 5647, 267, 789, 723, 2965, 1312, 18562, 5249, 2352, 547, 1020, 513, 15028, 2324, 2078, 269, 634, 9858, 540, 519, 12380, 543, 15692, 5985, 5867, 723, 2965, 25473, 6462, 519, 960, 540, 519, 21578, 7690, 267, 7700, 3009, 547, 2149, 519, 10342, 540, 922, 3755, 269, 19452, 267, 519, 9365, 2319, 568, 5885, 519, 960, 540, 519, 21578, 5741, 676, 5356, 741, 1378, 5943, 543, 3384, 3156, 602, 6451, 609, 621, 269, 5637, 519, 12380, 7690, 543, 9365, 1294, 519, 552, 1492, 9418, 4305, 607, 513, 1259, 547, 3986, 741, 1378, 4690, 676, 3246, 606, 13258, 2500, 543, 27249, 3760, 585, 9858, 543, 3755, 7567, 563, 9617, 2322, 267, 31427, 568, 3059, 2724, 602, 666, 581, 1031, 538, 1747, 540, 3044, 9304, 269, 26023, 267, 519, 2262, 31427, 2501, 689, 519, 5259, 2262, 15303, 334, 799, 1797, 11777, 543, 4354, 6275, 269, 769, 9759, 267, 31427, 568, 1175, 607, 2025, 607, 13332, 577, 1622, 269, 634, 3017, 1063, 31427, 543, 13332, 577, 1622, 568, 602, 972, 568, 1100, 3844, 1436, 610, 24432, 1062, 538, 1747, 269, 769, 9759, 267, 31427, 568, 606, 1930, 2707, 7014, 1759, 593, 9263, 3562, 25398, 11834, 4066, 602, 666, 581, 5340, 593, 513, 24797, 2780, 3060, 269, 1548, 1772, 631, 665, 2275, 7973, 334, 0, 2710, 2758, 540, 13898, 538, 10017, 630, 4942, 291, 994, 290, 14563, 609, 13262, 281, 634, 2552, 9084, 540, 15465, 4437, 1162, 547, 681, 636, 1588, 454, 5141, 846, 3346, 609, 6068, 3283, 568, 1898, 585, 1312, 2790, 543, 2168, 1072, 269, 4317, 1489, 3177, 676, 6068, 3283, 666, 2569, 2566, 267, 2087, 3207, 2298, 267, 3895, 2318, 1072, 5615, 267, 543, 2333, 6043, 547, 14488, 269, 769, 4948, 1272, 267, 2705, 267, 1004, 4122, 1995, 5712, 540, 9668, 689, 741, 6068, 3283, 269, 2052, 519, 2640, 540, 1514, 1489, 2049, 1256, 950, 6068, 3283, 616, 9308, 11397, 286, 634, 1353, 4080, 538, 3848, 476, 273, 6394, 1239, 689, 476, 9834, 2021, 945, 941, 14477, 8655, 547, 9329, 835, 540, 1614, 1085, 757, 630, 26132, 11509, 7649, 779, 267, 513, 24928, 779, 267, 610, 513, 9243, 20416, 264, 543, 6534, 547, 606, 8650, 1514, 2566, 528, 630, 307, 8175, 4317, 13262, 4530, 1040, 3131, 18727, 2566, 543, 23280, 941, 6027, 11179, 2429, 519, 1353, 269, 3131, 18727, 2566, 729, 4389, 538, 2021, 945, 941, 6534, 547, 741, 7649, 779, 20416, 269, 23634, 18066, 2157, 941, 11506, 538, 2021, 945, 941, 6534, 547, 513, 24928, 779, 20416, 269, 23634, 18066, 2157, 941, 849, 4389, 538, 2021, 945, 941, 6534, 547, 741, 7649, 779, 20416, 267, 855, 1152, 538, 513, 15410, 540, 2021, 945, 941, 2111, 547, 2697, 741, 7649, 779, 20416, 269, 1452, 2164, 2303, 602, 519, 20416, 540, 513, 7649, 10607, 519, 5626, 1995, 540, 2566, 543, 10607, 23280, 2157, 538, 513, 15410, 540, 2021, 945, 7157, 4857, 519, 20416, 547, 581, 741, 7649, 779, 269, 634, 1353, 4080, 538, 3848, 476, 274, 6394, 1239, 689, 476, 14028, 5171, 945, 6170, 1079, 17334, 609, 741, 7649, 779, 20416, 543, 1079, 17334, 609, 513, 1852, 20416, 630, 4650, 19747, 1040, 12619, 4398, 630, 16129, 957, 19973, 264, 543, 9228, 3207, 2298, 630, 16129, 1582, 3146, 1636, 264, 941, 6027, 1142, 3781, 269, 12619, 4398, 729, 2362, 950, 5171, 941, 6534, 547, 741, 7649, 779, 20416, 269, 22452, 547, 513, 7649, 779, 20416, 3366, 3207, 4398, 547, 2333, 676, 936, 1079, 2600, 593, 3328, 267, 606, 6454, 2147, 538, 9588, 547, 519, 1198, 540, 5283, 28853, 593, 3207, 269, 3131, 18727, 3207, 2298, 729, 2362, 950, 5171, 5156, 789, 941, 1159, 2454, 741, 7649, 779, 20416, 269, 1452, 2164, 2303, 602, 519, 20416, 540, 513, 7649, 10607, 519, 12214, 1533, 540, 3207, 543, 602, 18468, 596, 616, 6534, 547, 519, 20416, 540, 707, 7649, 10607, 519, 5626, 973, 565, 3005, 540, 3207, 2298, 269, 901, 1382, 8591, 547, 938, 1620, 540, 519, 1909, 540, 10153, 16371, 10291, 538, 519, 2792, 540, 1514, 1489, 563, 2005, 568, 1134, 3964, 602, 519, 4527, 540, 824, 1004, 5540, 875, 1454, 1004, 3548, 543, 519, 2010, 540, 1426, 789, 3442, 269, 12815, 1382, 593, 1426, 3903, 9781, 814, 5059, 593, 15165, 3536, 543, 814, 5097, 1044, 5342, 538, 6417, 8047, 3871, 269, 634, 1699, 1382, 12116, 9781, 540, 7594, 3903, 538, 513, 1483, 3734, 2796, 2066, 1079, 2090, 269, 5530, 476, 272, 630, 301, 815, 476, 23211, 22538, 2946, 29123, 264, 7318, 2436, 7594, 3903, 9781, 4386, 267, 2436, 1004, 616, 3222, 540, 1373, 6766, 267, 543, 2436, 6616, 519, 2203, 5540, 2436, 9781, 4386, 269, 634, 12899, 9753, 540, 22538, 2946, 29123, 941, 1147, 516, 696, 527, 13124, 27424, 543, 5171, 941, 25945, 1310, 789, 6976, 585, 741, 12899, 269, 19893, 941, 4280, 2436, 789, 941, 6766, 676, 519, 1991, 1931, 267, 543, 1018, 741, 2078, 729, 547, 519, 1268, 6619, 540, 873, 538, 1899, 269, 1306, 32424, 267, 5171, 24018, 519, 12899, 3903, 540, 519, 1268, 19280, 6619, 540, 873, 538, 1899, 1657, 3928, 4397, 676, 4960, 269, 2552, 9009, 547, 11236, 827, 519, 1909, 540, 2078, 267, 5171, 1705, 711, 2203, 693, 1114, 3928, 1739, 513, 24928, 3379, 547, 513, 1875, 268, 1598, 9734, 269, 23738, 12330, 827, 9781, 4656, 941, 6462, 609, 513, 1713, 9781, 1198, 4767, 1256, 1851, 5171, 945, 4080, 602, 741, 1931, 729, 711, 6766, 676, 519, 1991, 1931, 269, 5530, 476, 273, 630, 301, 815, 476, 7597, 1053, 264, 7318, 23440, 547, 519, 22538, 2946, 610, 1514, 1604, 607, 513, 15645, 1807, 269, 1677, 2333, 13260, 538, 23440, 609, 519, 22538, 2946, 267, 5171, 941, 1053, 4547, 883, 519, 22538, 2946, 585, 519, 1353, 269, 5530, 476, 273, 26857, 21016, 5477, 4681, 267, 7654, 1813, 547, 1970, 8579, 1379, 269, 901, 1382, 3177, 2963, 540, 7594, 3903, 9781, 9648, 538, 1483, 3734, 4189, 3871, 543, 3544, 540, 6857, 4656, 910, 11744, 513, 3532, 1514, 3310, 593, 1072, 19326, 269, 0, 1432, 568, 606, 1383, 540, 513, 1641, 888, 288, 1641, 568, 513, 851, 540, 513, 4845, 602, 3568, 519, 1268, 610, 3364, 7900, 519, 2962, 630, 528, 8231, 264, 538, 513, 4845, 269, 769, 713, 4845, 267, 519, 1641, 568, 968, 297, 3317, 11717, 892, 543, 519, 8231, 568, 968, 19769, 539, 1848, 7151, 281, 2991, 12899, 267, 594, 786, 1289, 1250, 3993, 269, 769, 519, 4845, 267, 519, 1641, 568, 968, 296, 892, 543, 519, 8231, 568, 968, 15884, 1289, 3034, 1432, 568, 1641, 538, 513, 1650, 888, 11357, 915, 568, 519, 1888, 593, 799, 519, 1650, 723, 547, 581, 2854, 269, 543, 6249, 540, 519, 1650, 568, 602, 1018, 596, 616, 3843, 547, 2491, 538, 519, 1650, 610, 538, 1913, 519, 5837, 269, 585, 1383, 281, 1641, 281, 9909, 563, 1432, 338, 1281, 1641, 1611, 888, 288, 1641, 568, 606, 1858, 540, 1702, 610, 1353, 267, 2523, 835, 602, 596, 1353, 693, 1153, 267, 2852, 267, 610, 6280, 269, 769, 8239, 267, 519, 1641, 540, 513, 16083, 568, 519, 10902, 1895, 602, 4016, 547, 519, 1268, 610, 3364, 602, 568, 3257, 519, 2962, 6829, 676, 519, 8231, 269, 1280, 1383, 267, 538, 2048, 7069, 3032, 8952, 20414, 5017, 8730, 2048, 3240, 3032, 685, 568, 519, 1641, 563, 1432, 568, 513, 1641, 538, 1603, 888, 763, 1641, 568, 3006, 1572, 519, 968, 333, 5446, 851, 892, 540, 513, 4845, 610, 16083, 269, 898, 2982, 1018, 519, 4845, 568, 827, 267, 610, 945, 610, 1018, 568, 7900, 606, 2962, 538, 519, 4845, 269, 634, 1641, 568, 1034, 1419, 513, 10902, 267, 15749, 267, 610, 10902, 8360, 563, 1432, 513, 4845, 3081, 827, 519, 1641, 568, 1572, 519, 888, 9336, 2347, 4845, 3568, 1079, 2694, 281, 513, 1641, 543, 513, 2392, 6510, 269, 634, 1641, 568, 1018, 630, 528, 7247, 264, 519, 4845, 568, 827, 267, 1247, 519, 2392, 6510, 6645, 1945, 827, 519, 1641, 269, 476, 276, 18194, 4709, 3264, 13953, 21660, 13194, 3522, 9686, 454, 1432, 616, 519, 1079, 2010, 540, 1641, 888, 1432, 616, 519, 7756, 22553, 540, 23527, 888, 268, 13159, 13595, 269, 634, 2347, 1641, 3274, 4016, 547, 912, 268, 11822, 13595, 269, 26023, 267, 519, 2241, 1641, 4016, 547, 519, 10902, 610, 15749, 799, 568, 1373, 610, 3257, 1945, 563, 268, 3281, 895, 13595, 563, 1432, 568, 519, 3017, 1063, 1641, 543, 6249, 538, 3332, 888, 20428, 666, 581, 3989, 607, 519, 3197, 267, 4259, 267, 543, 2489, 4729, 540, 513, 5339, 960, 269, 27484, 267, 593, 519, 824, 1688, 267, 9607, 519, 1292, 2856, 610, 519, 2278, 779, 5048, 269, 898, 3322, 513, 3948, 610, 6644, 269, 898, 568, 7000, 998, 519, 4606, 540, 1915, 4433, 1070, 741, 4555, 543, 7391, 267, 543, 3527, 610, 2680, 563, 1432, 568, 519, 2241, 1641, 1383, 888, 763, 2241, 1641, 568, 1152, 945, 610, 1018, 568, 968, 4777, 532, 892, 519, 8231, 267, 1510, 1022, 1110, 13294, 269, 11822, 13595, 6201, 281, 7338, 32525, 11827, 519, 1769, 15941, 269, 769, 713, 4845, 267, 968, 24171, 32525, 892, 568, 968, 4777, 532, 892, 519, 8231, 267, 968, 514, 1203, 539, 3034, 1432, 568, 519, 1292, 1641, 888, 20428, 815, 5808, 270, 6343, 568, 3257, 519, 2962, 454, 29490, 1265, 519, 8231, 1101, 269, 1403, 596, 723, 1044, 6026, 547, 1589, 540, 513, 1641, 607, 513, 1268, 267, 1747, 267, 610, 3364, 267, 581, 6297, 269, 589, 10902, 568, 513, 1268, 267, 1747, 267, 610, 3364, 267, 855, 519, 1292, 1641, 540, 513, 4845, 666, 581, 811, 281, 513, 8231, 8360, 267, 606, 740, 915, 2526, 8360, 267, 610, 1256, 606, 22466, 11769 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 815, 524, 14682, 11367, 314, 271, 15947, 2018, 524, 17624, 815, 737, 1477, 1038, 3116, 6769, 2018, 524, 318, 14054, 815, 524, 14682, 11367, 314, 272, 15947, 2018, 524, 17624, 815, 737, 910, 1883, 1477, 1363, 1477, 1038, 524, 5332, 333, 815, 562, 333, 1341, 476, 272, 1477, 1038, 2132, 1582, 11519, 337, 318, 14142, 3799, 267, 524, 5332, 333, 267, 524, 17624, 267, 524, 318, 14054, 3418, 0, 258, 737, 8527, 7288, 267, 1990, 6798, 800, 630, 338, 1115, 994, 338, 869, 334, 272, 6889, 298, 337, 345, 903, 345, 1729, 325, 12275, 4472, 320, 4840, 4289, 320, 272, 284, 4289, 4433, 869, 334, 272, 994, 2745, 30458, 272, 692, 330, 8527, 6390, 272, 17342, 343, 585, 1535, 538, 3500, 334, 272, 2639, 330, 8527, 6390, 272, 284, 14654, 921, 17347, 8527, 6390, 272, 264, 476, 1948, 1000, 528, 7999, 773, 737, 8527, 7288, 1990, 1592, 344, 454, 331, 17342, 343, 585, 1535, 538, 737, 8527, 6390, 272, 2639, 2745, 834, 298, 8527, 6390, 272, 2580, 330, 8527, 6390, 272, 267, 1412, 331, 281, 3299, 331, 692, 24105, 28121, 343, 585, 1535, 538, 2039, 263, 1015, 264, 8679, 7562, 8782, 31435, 3299, 692, 2745, 5609, 267, 8900, 454, 1721, 1535, 538, 630, 272, 267, 476, 273, 267, 476, 274, 2567, 1820, 1535, 692, 345, 321, 1640, 272, 284, 3553, 17347, 8527, 6390, 272, 994, 2745, 1990, 321, 1640, 272, 692, 684, 1664, 17342, 343, 585, 1535, 538, 1990, 321, 1640, 272, 2639, 684, 1664, 314, 273, 24557, 2420, 454, 2745, 15044, 263, 684, 1664, 1070, 1412, 315, 333, 262, 265, 274, 267, 2189, 314, 273, 2639, 2745, 15044, 17347, 8527, 6390, 272, 1070, 1826, 17347, 8527, 6390, 272, 994, 345, 321, 1640, 272, 14491, 263, 1789, 994, 2745, 1990, 321, 1640, 272 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2057, 22876, 2858, 1588, 269, 1717, 267, 596, 1590, 2322, 1927, 513, 4626, 564, 762, 585, 707, 1353, 1544, 267, 799, 2882, 8600, 513, 10853, 8430, 267, 16116, 519, 942, 540, 519, 1554, 596, 1745, 1034, 11327, 267, 543, 5781, 17265, 707, 3356, 563, 274, 269, 26875, 1125, 3785, 454, 2691, 596, 723, 513, 14095, 8430, 607, 513, 2875, 267, 621, 779, 2629, 547, 4225, 1585, 1362, 3785, 543, 10467, 3927, 269, 898, 3322, 4259, 10853, 3853, 267, 8159, 519, 23473, 543, 2956, 540, 4247, 267, 543, 21825, 12180, 873, 269, 898, 1131, 948, 952, 596, 3358, 707, 3922, 1436, 4640, 547, 707, 9342, 543, 12755, 607, 513, 2875, 269, 1280, 3236, 267, 21138, 3606, 942, 585, 4143, 10467, 952, 596, 1265, 513, 1880, 1641, 2352, 269, 1306, 596, 960, 593, 3785, 543, 1832, 3478, 1007, 3283, 267, 9337, 707, 3922, 1436, 1592, 9935, 563, 26212, 527, 1436, 6971, 2566, 543, 4679, 7607, 267, 2337, 596, 1711, 4055, 547, 2638, 707, 6959, 267, 543, 3947, 596, 811, 942, 547, 6001, 269, 5015, 267, 621, 6087, 596, 547, 2057, 22876, 2858, 1588, 267, 8952, 596, 12592, 267, 6770, 4398, 547, 707, 24913, 267, 543, 27862, 707, 2168, 543, 2790, 1072, 563, 275, 269, 4813, 513, 1353, 1895, 454, 13528, 532, 513, 1353, 1895, 666, 581, 606, 2500, 4640, 585, 11923, 547, 2087, 741, 1565, 1995, 269, 11622, 908, 609, 9905, 538, 513, 1353, 1895, 666, 5512, 11923, 547, 2671, 1702, 267, 4030, 267, 543, 2093, 267, 6038, 23429, 741, 1620, 540, 519, 1641, 2339, 563, 13010, 267, 1373, 851, 540, 513, 1353, 1895, 666, 948, 11923, 3251, 18177, 543, 12592, 676, 7700, 547, 519, 1895, 779, 5717, 543, 2238, 269, 24356, 538, 513, 1895, 849, 2488, 513, 11215, 1604, 1141, 11923, 666, 2307, 2055, 267, 3343, 27792, 267, 543, 4309, 5955, 689, 741, 9905, 269, 11622, 908, 609, 9905, 538, 513, 1353, 1895, 666, 948, 8808, 1053, 1020, 2565, 3206, 1983, 563, 3080, 540, 519, 1883, 2640, 540, 2324, 538, 513, 1895, 568, 602, 596, 1205, 547, 5873, 1114, 5380, 543, 4485, 547, 513, 1888, 267, 799, 666, 4228, 707, 1702, 543, 1620, 269, 1656, 713, 568, 3226, 1271, 538, 8808, 1153, 267, 1141, 1053, 1590, 6542, 2178, 2565, 3206, 1983, 538, 1585, 11400, 543, 10467, 269, 1635, 8362, 10283, 538, 1895, 5717, 267, 8808, 1053, 666, 10110, 519, 4030, 543, 1702, 540, 741, 9905, 267, 799, 666, 948, 873, 2087, 741, 2565, 3206, 5759, 563, 276, 269, 26875, 1125, 1134, 5630, 454, 3080, 12161, 1034, 8808, 1053, 1118, 1247, 4974, 585, 741, 11400, 543, 10467, 568, 6772, 8504, 741, 1134, 5630, 269, 1411, 1590, 1174, 602, 707, 1072, 568, 2629, 547, 707, 1967, 269, 4475, 267, 2760, 14207, 707, 1134, 5630, 936, 707, 2090, 269, 634, 1732, 596, 1745, 267, 519, 811, 7561, 596, 666, 1445, 593, 707, 1576, 1570, 563, 7312, 4081, 1967, 786, 1152, 2087, 952, 596, 1416, 585, 707, 2168, 543, 2790, 1072, 269, 1703, 616, 1896, 2081, 602, 8808, 1053, 666, 4225, 741, 1134, 5630, 267, 1519, 8026, 1582, 13282, 267, 942, 2359, 267, 5275, 1489, 267, 9591, 6302, 267, 543, 11009, 269, 0, 9336, 1032, 4054, 2887, 563, 1103, 519, 1655, 30924, 9183, 267, 1100, 835, 568, 10413, 543, 1100, 3959, 568, 8697, 563, 3719, 602, 3884, 1406, 2141, 519, 2013, 563, 13731, 9372, 700, 2544, 344, 267, 513, 2619, 6048, 609, 519, 10878, 1255, 2861, 12124, 32645, 20941, 267, 568, 3843, 547, 1020, 513, 1732, 1062, 585, 8159, 950, 513, 3529, 568, 865, 9178, 539, 621, 2115, 547, 581, 2759, 1524, 269, 769, 513, 2487, 1867, 585, 519, 1533, 4972, 540, 7025, 11094, 267, 646, 6594, 3574, 9178, 538, 8265, 25308, 4054, 538, 2185, 909, 8063, 4872, 281, 19186, 1415, 267, 30159, 267, 29157, 3122, 543, 5204, 2350, 2224, 563, 763, 3804, 267, 700, 2544, 344, 1767, 267, 568, 547, 1020, 1732, 2409, 585, 8159, 519, 4908, 543, 10335, 540, 9178, 538, 8265, 25308, 4054, 267, 543, 1711, 513, 7014, 602, 10034, 543, 4872, 666, 946, 547, 3313, 2436, 4054, 616, 865, 9178, 539, 789, 991, 547, 581, 6569, 269, 9540, 518, 2950, 3112, 6488, 547, 2308, 513, 2407, 6066, 818, 4011, 626, 267, 543, 513, 7014, 1131, 1118, 621, 4443, 585, 873, 547, 12398, 543, 4894, 13818, 4054, 563, 27746, 918, 1090, 8944, 330, 267, 2146, 26216, 4717, 13541, 585, 519, 667, 4488, 779, 12124, 32645, 8791, 267, 1767, 519, 8116, 779, 4104, 619, 5721, 25772, 547, 2697, 1966, 4054, 269, 700, 2544, 344, 779, 1382, 267, 1352, 1767, 267, 786, 948, 1118, 519, 1184, 811, 4977, 543, 5730, 563, 299, 2544, 344, 6594, 513, 4351, 5542, 540, 8265, 25308, 4054, 2443, 16157, 267, 8988, 543, 4006, 2443, 1317, 972, 616, 865, 1082, 538, 909, 8063, 1715, 3840, 269, 18320, 1082, 267, 538, 1249, 282, 25308, 4054, 17663, 811, 982, 476, 7918, 2600, 540, 519, 3529, 2551, 269, 700, 2544, 344, 1767, 513, 3152, 4763, 540, 3529, 2249, 568, 8902, 269, 634, 16157, 25308, 4805, 6589, 585, 811, 982, 476, 3607, 2600, 540, 519, 2698, 3529, 2551, 269, 968, 6624, 540, 891, 4054, 2223, 519, 1867, 2829, 267, 968, 732, 9921, 547, 936, 2173, 1155, 607, 789, 723, 6039, 607, 5372, 906, 585, 4054, 7166, 676, 10656, 1714, 332, 2068, 3034, 14454, 267, 700, 2544, 344, 11117, 476, 272, 267, 279, 5392, 4054, 563, 4002, 3328, 267, 519, 4054, 941, 538, 4023, 610, 8338, 2783, 267, 2687, 547, 519, 1867, 267, 609, 1804, 1673, 3554, 2678, 4054, 538, 519, 10782, 2783, 540, 782, 563, 763, 11841, 540, 9178, 538, 891, 4054, 267, 700, 2544, 344, 1767, 267, 729, 968, 14683, 2443, 936, 476, 2004, 2600, 1848, 1809, 519, 4908, 540, 3978, 9178, 2443, 513, 1377, 540, 9178, 602, 1131, 28173, 513, 3529, 4947, 1524, 2443, 729, 1454, 2539, 267, 1472, 476, 273, 269, 276, 2600, 563, 28317, 2603, 540, 4054, 723, 9178, 267, 855, 596, 1810, 1406, 1616, 547, 4894, 873, 2223, 646, 1767, 269, 968, 2791, 1810, 1406, 1616, 12597, 18191, 17064, 8851, 540, 4054, 3034, 1103, 1010, 1867, 267, 700, 2544, 344, 5206, 602, 3677, 1673, 3554, 2678, 12103, 1255, 2443, 12103, 1255, 3152, 982, 476, 1839, 6279, 538, 8006, 2443, 540, 782, 2249, 2154, 2799, 2157, 540, 14791, 267, 8851, 543, 10682, 1317, 540, 741, 4057, 2783, 543, 2799, 5666, 540, 9178, 563, 299, 2544, 344, 849, 6743, 693, 513, 4351, 5542, 540, 824, 2249, 540, 3529, 267, 543, 1336, 602, 789, 941, 538, 1732, 2783, 543, 1185, 2539, 10335, 540, 9178, 267, 968, 24175, 2248, 532, 519, 4763, 568, 513, 17280, 1996, 9178, 3034, 3891, 1336, 602, 811, 982, 3368, 519, 16157, 12103, 1255, 941, 538, 4057, 2783, 563, 307, 4181, 538, 19186, 1415, 267, 30159, 543, 5204, 2350, 2224, 941, 15951, 538, 5594, 2539, 982, 4023, 2783, 267, 1247, 4054, 538, 29157, 3122, 941, 15951, 538, 5594, 1732, 982, 4023, 2783, 563, 305, 28970, 3122, 267, 700, 2544, 344, 5206, 267, 814, 519, 13074, 7555, 3529, 5826, 543, 14791, 3292, 538, 519, 1533, 543, 519, 22583, 269, 2986, 19186, 1415, 267, 646, 5206, 267, 968, 20288, 2722, 4238, 538, 19186, 1415, 723, 1044, 896, 560, 3530, 539, 543, 14102, 538, 2487, 1686, 3034, 1103, 1010, 1382, 267, 700, 2544, 344, 1031, 1614, 2409, 267, 540, 2810, 30483, 267, 547, 2638, 585, 9178, 269, 3689, 267, 646, 1705, 513, 3308, 1449, 269, 3973, 646, 1705, 513, 3308, 543, 3280, 1449, 267, 1141, 646, 6743, 693, 519, 3529, 543, 5734, 621, 609, 513, 476, 277, 268, 8784, 590, 8986, 27207, 2006, 17200, 609, 513, 2182, 5068, 2212, 547, 1294, 952, 621, 729, 17860, 563, 3891, 849, 7318, 519, 4054, 609, 513, 3926, 267, 1572, 519, 1763, 626, 1748, 674, 6110, 267, 602, 3096, 513, 16590, 3787, 547, 2594, 7344, 4187, 547, 519, 16590, 3787, 593, 5750, 1957, 269, 634, 1763, 626, 1748, 2488, 513, 6482, 540, 519, 11098, 540, 519, 9018, 7387, 540, 3574, 538, 513, 3529, 563, 2108, 7197, 1004, 1413, 11617, 267, 610, 789, 1413, 543, 3280, 2223, 700, 2544, 344, 1767, 269, 968, 14106, 1302, 267, 596, 666, 1406, 2995, 513, 2898, 2603, 267, 855, 952, 596, 3280, 543, 946, 513, 4731, 2280, 267, 602, 779, 7168, 1434, 3034, 2108, 2791, 666, 1413, 693, 513, 3529, 2394, 596, 2461, 4544, 538, 519, 3068, 267, 855, 602, 4465, 1406, 2995, 596, 1018, 779, 3330, 540, 621, 2223, 700, 2544, 344, 1767, 563, 1103, 1010, 1867, 267, 700, 2544, 344, 5206, 602, 519, 968, 20657, 599, 11841, 729, 19599, 1164, 3034, 4910, 626, 1748, 4152, 7000, 513, 9178, 11841, 540, 936, 476, 6872, 2600, 267, 3379, 547, 9178, 11841, 540, 476, 1321, 2600, 538, 1715, 14948, 543, 476, 1626, 2600, 538, 1715, 3840, 4975, 779, 6239, 5244, 563, 5715, 545, 2209, 540, 9178, 3769, 5007, 19659, 267, 16398, 971, 607, 7508, 13626, 543, 666, 24329, 543, 4439, 2471, 543, 18015, 563, 7212, 4104, 619, 723, 1044, 1210, 3280, 532, 585, 513, 1247, 267, 789, 723, 711, 1044, 1210, 621, 547, 2708, 9178, 267, 918, 1090, 8944, 330, 1767, 563, 3086, 267, 968, 16269, 666, 22942, 1141, 519, 13557, 540, 519, 9178, 568, 4092, 543, 952, 519, 9178, 568, 8101, 2614, 519, 3529, 1058, 2097, 1524, 2223, 1352, 1767, 269, 968, 2252, 789, 2461, 711, 2386, 998, 3280, 532, 267, 789, 666, 946, 519, 1763, 626, 1748, 547, 12172, 1018, 789, 1589, 789, 4862, 3034, 299, 2544, 344, 4566, 547, 1832, 2324, 269, 8921, 267, 646, 786, 3313, 519, 4320, 540, 3574, 9178, 539, 538, 4683, 4054, 543, 519, 1764, 540, 9178, 593, 3327, 4859, 563, 22154, 1867, 568, 1152, 519, 9133, 540, 519, 4672, 6199, 2223, 646, 1767, 563, 16598, 313, 4953, 15288, 2910, 23615, 8980, 7417, 985, 675, 1569, 547, 3388, 649, 798, 267, 2221, 543, 1169, 1554, 267, 2638, 856, 938, 24049, 2985, 693, 11545, 294, 1794, 8291, 2593, 270, 29771, 454, 5415, 689, 634, 11545, 30657, 8291, 281, 0, 1607, 3381, 568, 1572, 20550, 13239, 28096, 1299, 9040, 625, 563, 5804, 519, 10713, 18945, 4201, 383, 366, 333, 5448, 632, 30209, 538, 8050, 912, 293, 1601, 559, 17378, 5494, 2642, 538, 700, 548, 5866, 630, 8967, 664, 264, 25103, 20550, 14795, 547, 7073, 20002, 454, 1321, 5147, 476, 1001, 273, 454, 12867, 689, 519, 1290, 680, 583, 1619, 2160, 540, 28925, 543, 519, 10713, 18945, 4201, 383, 366, 333, 5448, 632, 30209, 4857, 538, 700, 548, 5866, 513, 3126, 540, 21300, 5798, 609, 513, 2189, 8984, 281, 789, 616, 24814, 538, 3337, 269, 634, 6602, 4564, 6169, 538, 12797, 540, 519, 8367, 602, 5017, 543, 1875, 26624, 519, 1886, 16104, 267, 17878, 689, 519, 31350, 17675, 11270, 267, 1223, 723, 513, 1455, 22660, 563, 6524, 1200, 2669, 538, 5412, 476, 1001, 271, 267, 715, 773, 1407, 700, 6759, 19649, 6742, 6403, 928, 345, 267, 5493, 2801, 2632, 6048, 540, 519, 1290, 680, 583, 1619, 2160, 540, 28925, 267, 729, 2324, 593, 519, 1382, 540, 21300, 5798, 609, 513, 1360, 15116, 8984, 281, 606, 9065, 1355, 267, 12623, 20470, 3337, 269, 8625, 609, 2037, 878, 30647, 839, 267, 5493, 2801, 2632, 6048, 540, 519, 10713, 18945, 4201, 383, 366, 333, 5448, 632, 30209, 267, 519, 1079, 3744, 5342, 606, 29882, 2079, 540, 741, 6602, 267, 5063, 3370, 538, 519, 4760, 6022, 2801, 26585, 563, 763, 1007, 1826, 540, 21300, 4212, 814, 1044, 2016, 519, 3621, 2012, 540, 590, 1678, 1993, 320, 7510, 1066, 320, 3821, 269, 634, 5798, 941, 4362, 538, 519, 8053, 5913, 1858, 540, 700, 548, 5866, 267, 538, 1079, 4609, 4092, 593, 2901, 2427, 540, 519, 6833, 2784, 1115, 1780, 563, 763, 3162, 12877, 16867, 534, 1858, 568, 3638, 538, 21300, 4212, 4609, 267, 1034, 540, 799, 5330, 547, 10487, 1886, 617, 5798, 689, 519, 5580, 31350, 17675, 267, 6580, 1394, 811, 982, 476, 3583, 2929, 1296, 3516, 269, 4438, 602, 1974, 267, 519, 1858, 729, 513, 9381, 1858, 2407, 540, 17822, 543, 1642, 339, 553, 799, 4465, 2244, 689, 519, 4262, 998, 11159, 13250, 269, 9995, 543, 16095, 689, 602, 1974, 5795, 1259, 267, 6634, 540, 1296, 2663, 267, 547, 519, 32498, 543, 2261, 331, 1141, 21300, 3788, 1631, 666, 581, 1336, 269, 2201, 519, 11824, 31393, 543, 6366, 9381, 3338, 568, 1141, 513, 1804, 1895, 540, 17878, 9788, 741, 5798, 563, 763, 4609, 1141, 519, 8906, 941, 1500, 5330, 547, 519, 5580, 31350, 17675, 267, 1063, 519, 8805, 534, 1014, 543, 8575, 770, 5341, 339, 1014, 5712, 267, 930, 476 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3698, 2189, 5091, 580, 1080, 28949, 333, 4548, 2187, 825, 9704, 815, 1305, 4590, 825, 585, 562, 538, 15358, 912, 1038, 9704, 1923, 284, 1305, 19304, 3799, 11723, 825, 2132, 834, 2668, 21860, 4433, 9285, 5560, 580, 1080, 264, 9239, 3698, 2189, 5091, 580, 1080, 24449, 273, 28949, 333, 4548, 2187, 825, 9704, 815, 1305, 4590, 825, 585, 562, 538, 15358, 912, 1038, 1247, 562, 3436, 476, 271, 912, 2018, 546, 815, 562, 4939, 476, 1015, 454, 2018, 9704, 14491, 19304, 5560, 4917, 2018, 562, 12262, 284, 476, 1015, 692, 825, 2132, 834, 2668, 21860, 4433, 9285, 5560, 580, 1080, 264, 9239, 2745, 263, 684, 1664, 5091, 580, 1080, 263, 1015, 267, 476, 1556, 267, 476, 6321, 267, 476, 4281, 267, 476, 9834, 267, 476, 4097, 4917, 2745, 263, 684, 1664, 5091, 580, 1080, 24449, 273, 263, 1015, 267, 476, 1556, 267, 476, 6321, 267, 476, 4281, 267, 476, 9834, 267, 476, 4097, 4917, 0, 258, 4179, 2517, 325, 633, 628, 8812, 324, 697, 2593, 270, 10623, 2137, 270, 6011, 17489, 2914, 650, 3917, 712, 23337, 691, 7483, 1673, 626, 847, 3917, 537, 1922, 668, 1922, 13637, 1673, 27903, 270, 692, 5814, 4351, 692, 3698, 7227, 2690, 291, 27903, 10031, 825, 513, 815, 4351, 4732, 2217, 9230, 272, 267, 273, 267, 274, 267, 275, 267, 276, 1070, 476, 272, 25011, 271, 2639, 825, 536, 815, 4351, 4732, 2217, 9230, 272, 267, 273, 267, 274, 267, 275, 267, 276, 1070, 476, 272, 25011, 271, 2639, 825, 1247, 5416, 11203, 536, 2187, 1038, 952, 5416, 3436, 536, 2187, 2018, 536, 6834, 4351, 4732, 2217, 9230, 272, 267, 273, 267, 274, 267, 275, 267, 276, 1070, 476, 272, 25011, 271, 2639, 1038, 3116, 912, 2018, 513, 6834, 4351, 4732, 2217, 9230, 272, 267, 273, 267, 274, 267, 275, 267, 276, 1070, 476, 272, 25011, 271, 2639, 825, 2132, 513, 692, 3698, 7227, 2690, 291, 27903, 3725, 701, 730, 569, 10031, 825, 3649, 1080, 815, 11713, 825, 585, 1775, 538, 2039, 263, 1911, 1822, 876, 2187, 1038, 3649, 1080, 6910, 26028, 7159, 2690, 291, 27903, 15405, 825, 2132, 2040, 263, 11445, 1080, 264, 1315, 7003, 263, 11445, 1080, 2020, 342, 7159, 2690, 291, 27903, 3725, 701, 730, 569, 4590, 0, 18851, 16942, 318, 3559, 704, 18258, 5932, 543, 15920, 15737, 18851, 24653, 5814, 1159, 339, 680, 756, 1477, 5814, 521, 16435, 1477, 5228, 4757, 6230, 830, 269, 3667, 1104, 631, 8379, 4953, 2169, 1477, 5228, 4757, 6230, 830, 6230, 738, 760, 691, 1104, 631, 8379, 4932, 738, 760, 691, 1477, 5814, 579, 340, 573, 24653, 3698, 6494, 318, 16942, 16868, 318, 16942, 267, 1641, 1467, 267, 1560, 8029, 825, 5727, 31262, 11974, 519, 22754, 540, 513, 3593, 630, 8421, 514, 264, 18851, 5897, 825, 1948, 8073, 513, 5150, 9399, 299, 2796, 1477, 825, 2796, 815, 521, 16435, 269, 22056, 318, 29239, 318, 935, 3667, 31476, 825, 609, 1159, 339, 680, 756, 2529, 300, 9143, 318, 7704, 299, 2891, 8243, 339, 335, 3052, 21166, 2593, 2580, 476, 275, 4792, 267, 2796, 284, 935, 3667, 264, 607, 7746, 6769, 1038, 1948, 1205, 15737, 547, 543, 689, 1477, 1038, 521, 318, 16942, 815, 834, 691, 4716, 11988, 4565, 770, 287, 326, 21166, 2593, 257, 5897, 1038, 1948, 8298, 883, 938, 2272, 547, 6494, 4757, 1477, 1038, 7746, 28802, 514, 2891, 691, 4716, 11988, 4565, 770, 287, 326, 21166, 2593, 2580, 834, 4811, 3951, 12507, 3122, 290, 1841, 257, 10142, 1038, 1948, 1711, 5048, 1477, 1038, 5048, 815, 631, 8379, 4932, 738, 760, 691, 14052, 1038, 5048, 14277, 5804, 19312, 815, 521, 318, 16942, 1477, 1038, 5048, 14277, 2414, 19312, 815, 678, 318, 16942, 1477, 1038, 5048, 14277, 20428, 19312, 815, 1641, 1467, 1477, 1038, 5048, 269, 3430, 778, 29687, 8379, 4953, 2169, 6357, 1328, 267, 834, 21622, 8442, 3418, 1038, 1257, 815, 5048, 269, 553, 23952, 31476, 1038, 1948, 6494, 5048, 1477, 1038, 7746, 4732, 754, 21166, 4433, 318, 16942, 267, 678, 318, 16942, 267, 1257, 3418, 5897, 3698, 4757, 318, 637, 564, 263, 16942, 267, 3095, 8029, 825, 5727, 31262, 11974, 519, 22754, 540, 513, 3593, 630, 8421, 514, 264, 18851, 5897, 825, 1560, 815, 5727, 1477, 825, 19743, 972, 256, 5897, 825, 898, 5654, 899, 596, 29709, 707, 10957, 269, 19759, 269, 5897, 825, 4270, 1934, 568, 513, 3095, 547, 19268, 707, 10957, 281, 5727, 1341, 3095, 1341, 5727, 5897, 825, 14568, 9939, 538, 19551, 707, 10957, 1985, 942, 256, 5897, 825, 910, 288, 310, 289, 2319, 1477, 825, 5727, 1477, 825, 6494, 318, 16942, 263, 16942, 267, 834, 12507, 3122, 781, 769, 330, 10426, 5320, 1763, 564, 2580, 1560, 3418, 5897, 3698, 4757, 14682, 14712, 1074, 263, 16942, 267, 3095, 8029, 825, 5727, 31262, 11974, 519, 22754, 540, 513, 3593, 630, 8421, 514, 264, 18851, 5897, 825, 1560, 815, 5727, 1477, 825, 19743, 972, 256, 5897, 825, 898, 5654, 899, 596, 723, 513, 3659, 269, 5556, 17894, 256, 5897, 825, 2659, 3659, 1131, 899, 547, 1404, 513, 3014, 540, 30947, 781, 769, 330, 609, 596, 269, 8437, 519, 3095, 547, 6443, 873, 610, 798, 711, 543, 1577, 873, 581, 8909, 281, 5727, 1341, 3095, 1341, 5727, 5897, 825, 17949, 707, 10794, 256, 5897, 825, 910, 288, 310, 289, 2319, 1477, 825, 5727, 1477, 825, 6494, 318, 16942, 263, 16942, 267, 834, 12507, 3122, 781, 769, 330, 10794, 12833, 2787, 2580, 1560, 3418, 0, 2162, 476, 32458, 734, 12693, 454, 16482, 258, 18140, 10231, 5288, 269, 942, 538, 519, 1535, 267, 586, 267, 543, 1990, 17887, 269, 13242, 547, 3097, 258, 4729, 19089, 1239, 4607, 689, 519, 1234, 1023, 1619, 563, 16482, 2162, 476, 32458, 734, 12693, 692, 5814, 21267, 28272, 607, 12301, 454, 5814, 2415, 27785, 692, 258, 19152, 1035, 4897, 3758, 2012, 609, 910, 325, 538, 4971, 1899, 269, 3097, 258, 634, 3758, 1058, 1246, 519, 6084, 3898, 563, 258, 10907, 5120, 566, 568, 3355, 1242, 547, 476, 271, 538, 782, 17887, 630, 6588, 6143, 568, 4642, 539, 856, 264, 3097, 335, 32242, 815, 2415, 27785, 269, 26855, 2163, 303, 32242, 5560, 525, 5524, 8782, 5522, 582, 10231, 5288, 269, 942, 5073, 335, 32242, 14491, 318, 30348, 3488, 268, 325, 3299, 834, 734, 12803, 2580, 1826, 284, 1598, 2676, 7386, 948, 6889, 10907, 4897, 3758, 2012, 23528, 16911, 815, 642, 1513, 9638, 32242, 269, 27785, 318, 16911, 31156, 258, 7046, 519, 1035, 4897, 3758, 454, 325, 815, 1930, 263, 16911, 14277, 12803, 19312, 1341, 834, 269, 339, 868, 2580, 834, 337, 5602, 6050, 815, 535, 18667, 6050, 3890, 1948, 3367, 519, 1239, 692, 5503, 815, 11713, 659, 4897, 13448, 815, 11713, 659, 4897, 14729, 815, 11713, 659, 4897, 318, 345, 815, 29129, 258, 3474, 572, 519, 1239, 454, 1721, 1899, 538, 3515, 912, 825, 1899, 815, 1899, 21858, 4590, 825, 942, 6910, 263, 15615, 263, 1467, 314, 271, 28413, 825, 1035, 4897, 13448, 6910, 263, 15615, 263, 1467, 314, 272, 28413, 825, 1035, 4897, 14729, 6910, 263, 15615, 263, 1467, 314, 273, 28413, 825, 1035, 4897, 318, 345, 6910, 263, 15615, 263, 1467, 314, 274, 8079, 2020, 258, 18140, 519, 1239, 454, 10823, 8807, 2682, 4590, 10823, 16553, 7120, 263, 14530, 994, 10823, 19502, 263, 5503, 267, 1035, 4897, 13448, 994, 10823, 269, 29786, 2891, 343, 318, 659, 4897, 5602, 10823, 11859, 16932, 2891, 5503, 5602, 10823, 26644, 2891, 311, 24665, 566, 15419, 10823, 16553, 7120, 263, 15171, 994, 10823, 19502, 263, 5503, 267, 1035, 4897, 14729, 994, 10823, 269, 29786, 2891, 344, 318, 659, 4897, 5602, 10823, 11859, 16932, 2891, 5503, 5602, 10823, 26644, 2891, 312, 24665, 566, 15419, 10823, 16553, 7120, 263, 15836, 994, 10823, 19502, 263, 5503, 267, 1035, 4897, 318, 345, 994, 10823, 269, 29786, 2891, 345, 318, 659, 4897, 5602, 10823, 11859, 16932, 2891, 5503, 5602, 10823, 26644, 2891, 313, 24665, 566, 15419, 258, 16440, 519, 4137, 454, 10823, 4732, 1511, 14808, 263, 16911, 14277, 12803, 19312, 1341, 834, 269, 329, 701, 326, 5602, 10823, 20481, 10797, 0, 258, 1548, 568, 519, 10545, 2318, 1297, 602, 568, 14961, 16883, 676, 782, 540, 519, 2338, 689, 476, 272, 547, 476, 736, 286, 5897, 5814, 948, 619, 5897, 3698, 1292, 28399, 453, 7407, 815, 476, 736, 1477, 453, 1440, 1307, 815, 948, 619, 10947, 318, 1440, 1307, 263, 7407, 3418, 13537, 22136, 453, 5897, 453, 28237, 815, 476, 272, 1477, 22610, 1775, 538, 22136, 6769, 453, 453, 28237, 2608, 284, 1775, 1477, 13537, 1587, 24653, 604, 6449, 4067, 1029, 2652, 26242, 10852, 1029, 257, 6769, 453, 10852, 3890, 0, 26611, 23591, 24800, 270, 7090, 274, 454, 11687, 815, 18358, 31435, 3299, 1412, 16447, 3299, 1412, 333, 823, 3299, 1412, 1729, 3299, 1412, 1889, 564, 3299, 1412, 9767, 23300, 1721, 512, 538, 1449, 281, 1820, 12759, 6025, 4917, 0, 26611, 23591, 24800, 270, 7090, 274, 454, 320, 815, 536, 815, 524, 815, 546, 815, 552, 815, 1592, 263, 9792, 263, 1015, 4917, 2745, 12759, 5416, 1070, 6352, 6357, 1070, 6352, 6262, 1070, 6352, 5560, 1070, 6352, 16216, 4917, 320, 815, 536, 815, 524, 815, 546, 815, 552, 815, 1592, 263, 9792, 263, 273, 267, 1015, 4917, 2745, 12759, 5416, 1070, 6352, 6357, 1070, 6352, 6262, 1070, 6352, 5560, 1070, 6352, 16216, 4917, 320, 815, 536, 815, 524, 815, 546, 815, 552, 815, 834, 6062, 4840, 2745, 12759, 5416, 1070, 6352, 6357, 1070, 6352, 6262, 1070, 6352, 5560, 1070, 6352, 16216, 4917, 320, 815, 1496, 272, 267, 273, 267, 274, 2639, 321, 815, 524, 815, 546, 815, 552, 815, 513, 454, 2745, 12759, 5416, 1070, 6352, 6357, 1070, 6352, 6262, 1070, 6352, 5560, 1070, 6352, 16216, 4917, 0, 26611, 23591, 24800, 270, 7090, 274, 454, 345, 5622, 815, 22373, 3913, 340, 2580, 834, 331, 542, 2580, 834, 339, 9528, 31116, 320, 815, 834, 2763, 3630, 4840, 321, 815, 834, 339, 9528, 4840, 604, 513, 538, 23291, 281, 1820, 2891, 320, 5602, 604, 536, 538, 23291, 281, 1820, 2891, 321, 5602, 0, 26611, 23591, 24800, 270, 7090, 274, 692, 604, 1412, 31435, 262, 2652, 1412, 16447, 9166, 1820, 3488, 320, 5073, 604, 1412, 31435, 262, 11203, 1412, 16447, 9166, 1820, 3488, 321, 5073, 604, 703, 2891, 272, 8442, 2652, 703, 2891, 273, 257, 2567, 1820, 2891, 322, 5602, 604, 703, 2891, 273, 8442, 2652, 703, 2891, 273, 257, 2567, 1820, 2891, 323, 5602, 0, 26611, 23591, 24800, 270, 7090, 274, 454, 323, 815, 31460, 323, 14277, 320, 19312, 815, 476, 271, 454, 323, 14277, 321, 19312, 815, 476, 272, 454, 323, 14277, 322, 19312, 815, 476, 273, 454, 323, 14277, 323, 19312, 815, 476, 274, 454, 323, 14277, 324, 19312, 815, 476, 275, 454, 1721, 1883, 538, 1592, 5560, 269, 12399, 3890, 2187, 567, 1820, 2891, 343, 5602 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 707, 942, 563, 5804, 17748, 547, 2025, 2085, 267, 713, 1576, 7710, 6212, 593, 519, 6211, 267, 5626, 267, 543, 1514, 11095, 2152, 543, 19325, 585, 1142, 3942, 540, 519, 14438, 267, 9878, 1880, 3007, 547, 519, 3344, 540, 2796, 267, 2528, 267, 543, 2825, 2152, 269, 11762, 1331, 267, 855, 616, 711, 3908, 547, 281, 15970, 2511, 630, 18876, 5583, 1070, 1514, 8658, 267, 1514, 2566, 267, 6710, 267, 1970, 3872, 26556, 267, 6057, 543, 10714, 267, 4008, 543, 1920, 2152, 32330, 547, 3347, 267, 9668, 267, 1875, 10177, 6463, 543, 20762, 3885, 543, 16283, 8027, 543, 875, 891, 1860, 1646, 269, 12983, 540, 10172, 543, 1279, 3856, 1416, 616, 3769, 563, 1607, 1576, 7710, 519, 5250, 540, 519, 2875, 13309, 779, 3961, 607, 513, 24468, 1369, 519, 5943, 540, 8567, 543, 875, 713, 4249, 856, 538, 513, 16712, 1158, 540, 13508, 1701, 780, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 25787, 1315, 31499, 1315, 10657, 18868, 2580, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 0, 8080, 267, 2104, 2230, 17701, 256, 4653, 267, 649, 2811, 11362, 883, 519, 4241, 1158, 540, 938, 1378, 5182, 910, 519, 6129, 269, 2859, 4481, 267, 1577, 781, 2263, 1945, 1572, 3859, 1166, 4100, 543, 741, 6384, 269, 5620, 596, 2479, 4862, 827, 891, 6909, 30762, 8345, 593, 519, 2627, 540, 519, 6129, 286, 3143, 26834, 4270, 1287, 267, 31617, 909, 1317, 649, 2811, 827, 547, 7832, 593, 606, 3078, 3460, 2439, 5575, 1919, 1101, 281, 1548, 4010, 568, 513, 3859, 27506, 286, 5994, 952, 596, 786, 267, 707, 5172, 4062, 540, 19389, 10733, 3478, 2706, 12699, 543, 10393, 9750, 609, 513, 5458, 16802, 540, 1648, 1107, 602, 781, 7168, 2673, 547, 1018, 4523, 1282, 513, 3859, 27506, 269, 1879, 1978, 2127, 593, 519, 3141, 3002, 909, 6385, 630, 531, 2865, 899, 789, 3893, 1990, 11474, 676, 513, 9649, 17184, 688, 2273, 787, 518, 1070, 5536, 16290, 3330, 666, 1405, 6023, 621, 15042, 267, 3056, 547, 606, 11999, 5305, 540, 1769, 267, 2473, 17530, 267, 543, 1164, 20589, 5536, 269, 15346, 267, 1318, 286, 1809, 7227, 1862, 972, 781, 811, 2439, 3086, 602, 649, 1174, 1018, 513, 3859, 27506, 568, 267, 1577, 781, 2911, 827, 922, 6384, 1107, 875, 1281, 621, 960, 286, 12207, 3494, 602, 27390, 6419, 4610, 1404, 513, 1713, 1909, 538, 2870, 891, 3532, 2621, 269, 1411, 1294, 267, 1175, 2630, 519, 6129, 781, 7298, 2627, 6013, 513, 24360, 4262, 540, 11919, 267, 7683, 3001, 543, 10451, 6419, 4229, 269, 6884, 267, 891, 15865, 3515, 1205, 8126, 1194, 909, 899, 838, 698, 515, 26152, 1354, 5555, 2879, 6260, 1394, 1927, 267, 16089, 16854, 5666, 540, 1648, 269, 2608, 306, 2793, 303, 256, 265, 1656, 21350, 10042, 267, 972, 4422, 1776, 3859, 27506, 2439, 4131, 803, 2671, 513, 1187, 1249, 281, 9894, 596, 917, 602, 930, 3859, 1166, 4100, 616, 865, 7920, 602, 789, 1223, 22545, 856, 9682, 10618, 610, 1256, 1379, 21870, 1934, 593, 3047, 952, 6322, 2047, 693, 721, 286, 962, 10105, 256, 1717, 267, 1810, 1405, 5855, 1932, 1454, 282, 938, 4541, 814, 3710, 2987, 4027, 1949, 971, 607, 3047, 781, 6419, 2361, 799, 6411, 899, 513, 2462, 13104, 1996, 1034, 5739, 5982, 780, 2414, 2285, 596, 606, 2856, 540, 875, 11141, 891, 24974, 26706, 616, 267, 4952, 713, 281, 1403, 596, 1223, 5531, 782, 519, 1648, 5950, 1282, 513, 2582, 3859, 27506, 267, 621, 1131, 581, 6697, 547, 6634, 540, 476, 1911, 2173, 1122, 26293, 6046, 23038, 1033, 517, 908, 8195, 256, 3767, 8946, 2969, 24202, 1018, 594, 1289, 513, 645, 5456, 22820, 2439, 1103, 3932, 267, 3695, 3859, 27506, 6384, 2636, 721, 547, 1732, 10146, 519, 6946, 5615, 12044, 938, 1272, 3766, 1516, 5182, 269, 1306, 649, 3136, 1565, 827, 891, 9259, 267, 3314, 602, 1169, 1007, 6602, 6770, 721, 6251, 547, 1620, 711, 1152, 938, 1378, 18477, 7023, 855, 849, 824, 6801, 16559, 2066, 519, 5318, 7122, 269, 5808, 6487, 1018, 11580, 24098, 721, 3564, 519, 1985, 3859, 27506, 286, 1924, 1832, 7279, 8781, 6505, 1369, 596, 267, 8284, 588, 1173, 1794, 619, 2439, 10000, 5765, 3584, 538, 13316, 1315, 6611, 3163, 1315, 853, 15362, 1299, 9891, 1522, 1331, 834, 26422, 4944, 1824, 543, 4256, 31981, 2437, 834, 23530, 6489, 23874, 2437, 610, 6148, 1256, 834, 291, 3496, 29457, 23768, 4112, 7134, 10590, 13773, 22934, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 20458, 543, 6129, 2257, 15853, 454, 19350, 568, 513, 15853, 540, 782, 519, 1382, 594, 723, 2944, 593, 519, 1641, 540, 2916, 1689, 267, 609, 513, 6281, 1445, 593, 519, 2243, 540, 519, 6129, 779, 3310, 593, 602, 2916, 269, 901, 15853, 6227, 513, 1974, 689, 1472, 476, 1220, 273, 2394, 476, 1001, 271, 267, 950, 594, 11074, 4946, 547, 519, 1592, 269, 634, 1382, 5170, 267, 855, 594, 3274, 1100, 3476, 18985, 713, 15853, 563, 296, 15476, 621, 1934, 1312, 607, 513, 4704, 585, 1250, 3988, 267, 543, 547, 849, 3561, 519, 9165, 540, 1250, 1702, 267, 1058, 1866, 2307, 1946, 594, 723, 11943, 602, 519, 2361, 540, 2916, 2257, 568, 1360, 1950, 267, 602, 649, 2731, 1810, 1406, 917, 1018, 568, 2469, 593, 267, 543, 602, 4896, 945, 3081, 519, 2257, 568, 12306, 814, 2693, 711, 2944, 1454, 1382, 538, 519, 2361, 269, 594, 1810, 1406, 2161, 602, 9420, 569, 269, 594, 3490, 621, 593, 513, 6297, 2689, 540, 519, 2361, 267, 543, 519, 2055, 602, 1434, 2916, 3744, 616, 10010, 609, 563, 9616, 281, 634, 1257, 602, 568, 538, 12050, 267, 1519, 968, 286, 5608, 941, 1250, 2123, 4967, 585, 3688, 602, 2877, 547, 581, 811, 10502, 2854, 950, 519, 15853, 729, 6368, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 23530, 4469, 732, 18868, 257, 607, 851, 540, 834, 306, 11799, 1315, 6611, 3163, 1315, 853, 15362, 1299, 9891, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 938, 3460, 883, 519, 1158, 540, 5904, 256, 4653, 649, 786, 1451, 827, 513, 2731, 3579, 1907, 1572, 2372, 2044, 270, 8698, 270, 9558, 4146, 267, 610, 1627, 309, 307, 585, 2110, 269, 898, 2337, 721, 960, 609, 1945, 1572, 772, 7876, 267, 799, 6763, 585, 1133, 1881, 21290, 5678, 269, 6056, 540, 621, 899, 513, 2027, 1893, 602, 13071, 721, 5968, 609, 5904, 1210, 5961, 3079, 540, 1175, 1913, 2439, 5331, 596, 723, 513, 2462, 4216, 2407, 540, 1114, 9162, 1107, 6517, 267, 31119, 267, 11084, 267, 543, 7161, 269, 3767, 4952, 3843, 547, 2491, 782, 1346, 9162, 547, 2576, 945, 666, 1405, 1294, 873, 267, 1152, 676, 6158, 269, 1411, 1522, 1265, 621, 2182, 547, 4766, 1142, 11442, 5693, 267, 1318, 286, 1809, 1018, 952, 596, 1223, 2721, 5961, 540, 1142, 11442, 3079, 286, 14348, 333, 1405, 602, 581, 1454, 4443, 547, 1174, 286, 2334, 781, 4010, 1018, 772, 7876, 1281, 585, 5904, 2439, 3086, 267, 1577, 781, 2911, 827, 1627, 309, 307, 269, 5457, 602, 4216, 540, 6404, 9162, 286, 2913, 781, 2161, 596, 1616, 547, 4990, 1346, 9162, 1759, 593, 741, 1826, 267, 2450, 267, 610, 2681, 269, 1677, 798, 713, 267, 596, 1131, 1711, 6688, 610, 2516, 547, 948, 10891, 873, 1732, 269, 1627, 309, 307, 1281, 1945, 2147, 585, 772, 7876, 12222, 2439, 2691, 2324, 609, 1082, 772, 7876, 12222, 267, 3006, 789, 991, 547, 2671, 1344, 610, 960, 1927, 269, 3807, 899, 950, 596, 15044, 707, 9162, 267, 1627, 309, 307, 2337, 721, 9192, 267, 5635, 267, 543, 2981, 1239, 1063, 891, 772, 7876, 12222, 269, 898, 2306, 2386, 3388, 13978, 6896, 543, 1568, 12347, 780, 4131, 803, 2285, 596, 606, 1383, 281, 5994, 596, 2811, 2870, 1079, 772, 7876, 12222, 910, 835, 585, 4058, 513, 14512, 5428, 543, 1776, 585, 12180, 513, 13558, 3014, 269, 5637, 2621, 949, 723, 930, 1919, 538, 1455, 267, 971, 607, 14538, 610, 6753, 269, 5502, 540, 18110, 602, 1482, 1344, 7466, 267, 1627, 309, 307, 2636, 596, 547, 19074, 519, 3838, 3877, 3362, 269, 1924, 267, 952, 972, 781, 1022, 1689, 2877, 2663, 267, 596, 1810, 1405, 723, 547, 9337, 1169, 2582, 6516, 282, 1175, 12189, 519, 3312, 2707, 267, 543, 1627, 309, 307, 3217, 1416, 540, 21130, 519, 1964, 256, 3026, 520, 267, 26001, 2496, 3383, 1934, 781, 513, 973, 777, 281, 1627, 309, 307, 568, 513, 3532, 1907, 1031, 609, 772, 7876, 547, 1832, 1919, 28426, 6896, 269, 1635, 9236, 267, 9256, 267, 543, 13321, 1239, 2066, 2789, 772, 7876, 12222, 267, 1627, 309, 307, 5849, 5347, 2792, 1063, 3425, 543, 5904, 1247, 9319, 21336, 3599, 269, 2060, 1627, 309, 307, 267, 5883, 1950, 2780, 3785, 3587, 811, 19242, 543, 1187, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 28494, 289, 23623, 543, 631, 6395, 281, 15339, 454, 8310, 3923, 781, 6241, 5941, 519, 8629, 5004, 6828, 781, 630, 6865, 294, 264, 7844, 5937, 337, 1508, 15339, 538, 2474, 540, 519, 5063, 22190, 28508, 12054, 24939, 540, 6355, 18500, 543, 6355, 16390, 630, 306, 289, 23623, 264, 20487, 269, 2334, 6241, 5941, 875, 2035, 616, 6719, 543, 875, 9781, 4654, 543, 3631, 616, 7768, 269, 3509, 3631, 616, 2838, 547, 4766, 4628, 4376, 865, 1950, 607, 513, 1870, 610, 513, 7856, 1344, 1062, 269, 769, 713, 3923, 781, 6241, 267, 3007, 568, 5828, 547, 519, 8273, 4605, 540, 875, 547, 10891, 543, 9305, 513, 3126, 540, 3631, 602, 15217, 4766, 513, 1950, 1870, 610, 1344, 1062, 269, 901, 568, 519, 1888, 540, 6189, 563, 1103, 476, 2735, 278, 267, 3627, 2098, 778, 2006, 267, 1287, 693, 22126, 267, 3370, 513, 25761, 2376, 538, 799, 646, 6069, 513, 5943, 585, 1949, 6189, 602, 814, 1831, 1634, 607, 519, 2098, 778, 2006, 17563, 585, 27617, 15339, 269, 634, 1523, 540, 1412, 10938, 21215, 6189, 262, 630, 12788, 264, 814, 1044, 2919, 14916, 538, 519, 1296, 2094, 2098, 778, 2006, 781, 2376, 7902, 269, 11153, 661, 288, 588, 534, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 304, 309, 307, 630, 5226, 2044, 270, 8698, 270, 9558, 4146, 17983, 607, 851, 540, 834, 28035, 1315, 19932, 1315, 772, 7876, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 23558, 593, 13941, 9108, 593, 713, 15116, 4541, 1572, 3047, 256, 1306, 596, 6330, 713, 14542, 1604, 267, 621, 781, 2067, 547, 1745, 16397, 610, 14221, 269, 2334, 781, 1946, 649, 4312, 5423, 713, 3102, 3391, 4481, 585, 596, 281, 2878, 289, 805, 515, 12213, 569, 543, 2836, 332, 13560, 1262, 780, 1607, 1898, 4480, 786, 948, 596, 6001, 267, 1445, 267, 543, 1732, 11883, 609, 519, 3875, 13300, 630, 663, 1761, 2591, 264, 602, 24098, 596, 593, 713, 4241, 4541, 269, 7490, 1246, 891, 3268, 5402, 267, 607, 789, 3513, 6338, 596, 547, 4909, 3344, 540, 1480, 17550, 267, 3929, 7939, 267, 543, 1514, 5872, 780, 1262, 3721, 476, 272, 281, 4855, 513, 1290, 13025, 19024, 12533, 700, 11229, 513, 2922, 267, 9602, 5544, 1141, 596, 666, 1694, 20354, 1510, 19240, 269, 1411, 1522, 1265, 513, 2571, 2627, 899, 513 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 14136, 525, 2711, 6452, 4958, 542, 692, 272, 269, 9947, 476, 274, 267, 476, 1001, 275, 692, 2162, 838, 4883, 6033, 692, 298, 25475, 588, 22981, 269, 634, 2243, 3947, 1614, 4834, 543, 594, 1810, 1405, 917, 1018, 547, 798, 609, 873, 267, 1317, 2016, 519, 4834, 972, 781, 2141, 811, 982, 835, 7164, 269, 7102, 6351, 14121, 2354, 1131, 581, 15874, 2439, 2252, 513, 4541, 525, 2711, 814, 513, 3444, 22891, 1858, 540, 12631, 305, 273, 630, 3602, 681, 568, 519, 4541, 525, 2711, 781, 8953, 264, 543, 568, 27789, 998, 513, 6531, 540, 4130, 5536, 540, 6378, 2450, 609, 513, 6991, 966, 267, 519, 1297, 540, 21611, 829, 2034, 786, 581, 1384, 323, 333, 7933, 339, 815, 630, 11027, 305, 273, 301, 8358, 332, 692, 3602, 6543, 479, 301, 284, 1492, 2230, 5860, 630, 11899, 8276, 274, 264, 540, 5536, 538, 519, 6531, 543, 544, 284, 1492, 2527, 540, 1142, 9325, 780, 2252, 1142, 16580, 2164, 538, 519, 3077, 5536, 23578, 547, 519, 4541, 525, 2711, 267, 519, 4541, 525, 2711, 786, 2744, 2527, 693, 513, 2557, 540, 692, 323, 300, 7933, 339, 815, 12631, 305, 273, 301, 692, 3602, 631, 284, 1492, 4541, 525, 2711, 2527, 780, 763, 942, 547, 1332, 547, 8953, 681, 568, 692, 339, 815, 630, 275, 305, 270, 309, 19422, 16708, 14149, 2020, 3602, 6543, 479, 303, 284, 1492, 5860, 540, 519, 4541, 525, 2711, 3294, 269, 630, 10112, 2541, 602, 6543, 479, 301, 543, 966, 3251, 3586, 607, 5536, 616, 25626, 909, 24355, 10112, 11167, 602, 513, 10257, 1871, 585, 519, 5860, 540, 934, 4958, 762, 1570, 538, 6418, 851, 540, 519, 2038, 3859, 683, 321, 3121, 568, 6543, 479, 301, 815, 476, 1015, 268, 278, 4846, 8276, 274, 267, 7447, 519, 942, 547, 934, 516, 974, 513, 1560, 540, 476, 272, 267, 1822, 5998, 8953, 269, 27539, 513, 10257, 6543, 479, 303, 780, 273, 269, 9947, 476, 274, 267, 476, 1001, 275, 692, 2162, 512, 916, 692, 5575, 513, 27792, 281, 3657, 519, 1269, 303, 259, 543, 1269, 301, 259, 538, 4399, 24838, 623, 259, 543, 4399, 24838, 715, 259, 9277, 547, 581, 31941, 338, 286, 1403, 711, 267, 1018, 798, 789, 1611, 2496, 9202, 267, 596, 723, 547, 1118, 606, 3801, 693, 6061, 519, 1966, 1354, 1004, 616, 4847, 547, 948, 780, 274, 269, 9947, 476, 274, 267, 476, 1001, 275, 692, 2162, 838, 4883, 6033, 692, 8133, 267, 519, 623, 543, 715, 616, 31941, 338, 269, 4399, 24838, 623, 259, 568, 519, 5860, 540, 519, 4541, 525, 2711, 543, 4399, 24838, 715, 259, 568, 519, 5860, 540, 519, 683, 321, 3121, 780, 296, 723, 6836, 547, 2097, 909, 609, 1945, 1384, 296, 3576, 519, 6991, 540, 513, 9764, 10739, 4534, 3597, 263, 14875, 29265, 264, 4534, 543, 2322, 538, 11002, 334, 263, 928, 321, 3121, 264, 1535, 476, 275, 270, 274, 14039, 681, 317, 274, 585, 519, 2527, 907, 594, 1205, 513, 6991, 540, 476, 275, 269, 279, 4343, 324, 268, 277, 630, 6518, 3085, 1405, 1118, 1022, 2631, 6393, 680, 19982, 602, 883, 519, 1101, 3830, 594, 1205, 476, 9873, 5479, 1296, 1862, 799, 15069, 3884, 1405, 1318, 780, 275, 269, 9947, 476, 274, 267, 476, 1001, 275, 692, 2162, 552, 327, 843, 692, 763, 4541, 525, 2711, 267, 1247, 21409, 609, 3432, 642, 267, 4418, 10134, 513, 12718, 540, 3444, 3296, 531, 1858, 3160, 547, 589, 284, 11027, 305, 273, 269, 769, 24303, 942, 519, 1164, 540, 519, 12718, 568, 642, 19049, 267, 543, 519, 4541, 525, 2711, 2458, 1938, 609, 1169, 9325, 3330, 519, 12718, 780, 12317, 843, 692, 17572, 2450, 912, 278, 269, 278, 22995, 454, 21366, 912, 9262, 454, 276, 269, 9947, 476, 274, 267, 476, 1001, 275, 692, 2162, 512, 916, 692, 1103, 19000, 596, 666, 946, 606, 20838, 18011, 318, 10807, 547, 5815, 513, 31941, 267, 3976, 569, 281, 4399, 24838, 318, 301, 8961, 610, 952, 972, 568, 811, 982, 835, 1915, 538, 519, 31941, 267, 11700, 846, 873, 538, 1225, 569, 25329, 281, 1269, 309, 3709, 719, 23201, 10016, 619, 5296, 338, 616, 2944, 13974, 267, 1210, 519, 1416, 339, 18011, 317, 262, 6393, 8133, 267, 476, 1015, 2053, 519, 1272, 540, 519, 7122, 568, 4440, 711, 519, 1318, 2626, 780, 763, 1101, 3364, 547, 8275, 568, 602, 519, 2450, 540, 519, 1560, 786, 1689, 267, 865, 596, 666, 1405, 946, 513, 6378, 8953, 269, 1306, 519, 2450, 4679, 267, 865, 786, 519, 2557, 540, 934, 4958, 542, 269, 8562, 983, 25057, 267, 610, 1022, 824, 2186, 540, 10739, 267, 814, 4986, 547, 798, 609, 621, 780, 277, 269, 9947, 476, 274, 267, 476, 1001, 275, 692, 2162, 838, 4883, 6033, 692, 3383, 689, 602, 594, 1131, 1491, 602, 519, 1297, 540, 21611, 829, 2034, 829, 1770, 4320, 1131, 581, 1945, 899, 692, 323, 333, 7933, 339, 815, 12631, 305, 273, 341, 333, 692, 30524, 621, 711, 2496, 278, 269, 9947, 476, 274, 267, 476, 1001, 275, 692, 2162, 838, 4883, 6033, 692, 3383, 1018, 594, 1705, 729, 594, 3576, 835, 540, 519, 575, 643, 839, 1384, 323, 300, 7933, 339, 815, 12631, 305, 273, 301, 630, 292, 304, 476, 272, 2020, 663, 594, 3576, 519, 3830, 585, 2527, 630, 6518, 594, 21630, 17107, 300, 815, 6543, 479, 630, 275, 270, 274, 264, 12631, 305, 274, 454, 323, 300, 7933, 339, 815, 476, 275, 11027, 16708, 305, 273, 546, 305, 7933, 339, 630, 292, 304, 476, 273, 2020, 13420, 730, 661, 304, 476, 272, 543, 661, 304, 476, 273, 547, 1205, 692, 323, 305, 7933, 339, 815, 642, 16708, 301, 270, 275, 16708, 303, 692, 6518, 568, 513, 3586, 269, 1656, 602, 781, 1141, 594, 3893, 4503, 780, 279, 269, 9947, 476, 275, 267, 476, 1001, 275, 692, 2162, 838, 4883, 6033, 692, 3719, 1141, 798, 594, 1205, 513, 6991, 286, 2334, 781, 1141, 594, 6415, 4625, 588, 22981, 269, 1703, 781, 1100, 1483, 1560, 585, 606, 20771, 6991, 267, 865, 594, 1810, 1405, 917, 1141, 547, 1205, 642, 585, 544, 272, 341, 272, 815, 544, 273, 341, 273, 13718, 280, 269, 9947, 476, 275, 267, 476, 1001, 275, 692, 2162, 552, 327, 843, 692, 305, 568, 519, 8953, 540, 519, 1560, 543, 621, 12599, 609, 6991, 966, 269, 594, 4312, 1175, 8068, 602, 966, 568, 10924, 3586, 538, 519, 20525, 269, 594, 25216, 1250, 3105, 2022, 267, 596, 798, 711, 991, 547, 946, 5726, 540, 11610, 269, 1809, 621, 568, 9490, 267, 24937, 519, 1689, 540, 6991, 780, 2005, 1281, 711, 2339, 2059, 1018, 10739, 519, 4541, 525, 2711, 12599, 780, 12317, 843, 692, 8310, 12995, 281, 9947, 476, 275, 267, 476, 1001, 275, 454, 1015, 269, 9947, 476, 275, 267, 476, 1001, 275, 692, 2162, 552, 327, 843, 692, 3383, 1018, 942, 568, 2877, 547, 1332, 519, 8953, 540, 519, 4541, 525, 2711, 689, 4642, 547, 681, 2496, 12317, 843, 692, 1556, 269, 9947, 476, 275, 267, 476, 1001, 275, 692, 2162, 838, 4883, 6033, 692, 296, 1589, 594, 3893, 621, 780, 296, 7471, 1312, 5011, 543, 3893, 692, 339, 815, 476, 275, 305, 16708, 23218, 16708, 301, 692, 2690, 513, 476, 1911, 271, 14790, 538, 8006, 630, 305, 815, 476, 276, 269, 271, 324, 276, 544, 264, 4541, 525, 2711, 267, 1210, 519, 2016, 6543, 479, 301, 284, 272, 269, 271, 324, 268, 278, 543, 6543, 479, 303, 284, 274, 269, 276, 4846, 8276, 274, 630, 20200, 673, 669, 1180, 1679, 5860, 1070, 782, 594, 2877, 729, 642, 780, 8256, 3569, 540, 6052, 546, 545, 919, 602, 519, 6991, 540, 519, 5222, 3112, 7494, 9765, 519, 9101, 6991, 267, 865, 594, 5173, 26751, 322, 267, 799, 568, 476, 2420, 269, 1556, 332, 4882, 780, 303, 1663, 21794, 1346, 2418, 883, 519, 7471, 4542, 267, 594, 1205, 512, 815, 476, 272, 324, 276, 1296, 609, 476, 1911, 260, 4398, 267, 543, 476, 272, 324, 278, 1296, 609, 476, 272, 260, 4398, 630, 26238, 512, 543, 681, 616, 31085, 1644, 6393, 9989, 602, 1118, 2631, 2496, 1321, 269, 9947, 476, 275, 267, 476, 1001, 275, 692, 2162, 512, 916, 692, 8133, 267, 621, 1281, 780, 1724, 269, 9947, 476, 275, 267, 476, 1001, 275, 692, 2162, 838, 4883, 6033, 692, 8110, 2739, 269, 8729, 782, 267, 1454, 15874, 269, 0, 1892, 12754, 9517, 281, 10323, 14530, 16573, 454, 1892, 13595, 281, 4569, 692, 2162, 476, 279, 269, 6349, 30151, 3955, 1998, 585, 2290, 6399, 692, 1103, 713, 3381, 267, 1053, 786, 1451, 547, 4020, 513, 6015, 8884, 585, 513, 2551, 1611, 780, 1892, 12754, 9517, 281, 10323, 14530, 19740, 454, 1892, 13595, 281, 4569, 692, 2162, 476, 279, 269, 6734, 10439, 1944, 513, 30151, 3955, 1998, 692, 1103, 713, 3381, 267, 1053, 786, 1451, 547, 14650, 519, 4070, 540, 513, 6015, 8884, 780, 1892, 12754, 9517, 281, 10323, 14530, 21916, 454, 1892, 13595, 281, 4569, 692, 2162, 476, 279, 269, 6860, 3955, 31147, 30151, 3955, 10094, 692, 1103, 713, 3381, 267, 1053, 786, 1451, 547, 4612, 513, 6015, 8884, 780, 1892, 12754, 9517, 281, 10323, 14530, 22650, 454, 1892, 13595, 281, 4569, 692, 2162, 476, 279, 269, 4962, 30151, 3955, 1998, 585, 2290, 1160, 15251, 692, 1103, 713, 3381, 267, 1053, 786, 1451, 547, 4020, 543, 4612, 513, 6015, 8884, 585, 835, 8167, 780, 1892, 12754, 9517, 281, 10323, 14530, 24879, 454, 1892, 13595, 281, 4569, 692, 2162, 476, 279, 269, 6187, 11790, 18748, 532, 519, 654, 5954, 540, 513, 30151, 3955, 1998, 692, 1103, 713, 3381, 267, 1053, 786, 2263, 875, 519, 3334, 540, 513, 6015, 8884, 1860, 922, 8700, 780, 1892, 12754, 9517, 281, 10323, 14530, 23669, 454, 1892, 13595, 281, 4569, 692, 2162, 476, 279, 269, 5881, 30151, 3955, 10094, 538, 519, 7464, 2622, 692, 1103, 713, 3381, 267, 1053, 786, 5659, 6015, 11996, 538, 519, 1483, 1158, 780, 1892, 12754, 9517, 281, 10323, 14530, 271, 3607, 454, 1892, 13595, 281, 4569, 692, 2162, 476, 278, 269, 4905, 7352, 1464, 538, 12726, 1160, 1636, 687, 267, 3487, 476, 272, 692, 1103, 713, 3381, 267, 1053, 4766, 543, 2203, 13260, 1210, 513, 9352, 2551, 3892, 543, 519, 10386, 3892, 540, 513, 3732, 8167, 780, 1892, 12754, 9517, 281, 10323, 14530, 271, 4391, 454, 1892, 13595, 281, 4569, 692, 2162, 476, 278, 269, 6349, 7352, 1464, 538, 12726, 1160, 1636, 687, 267, 3487, 476, 273, 692, 1103, 713, 3381, 267, 1053, 1451, 547, 4766, 543, 2203, 13260, 1210, 513, 9352, 2551, 3892, 267, 543, 519, 10386, 3892, 540, 513, 3732, 8167, 780, 1892, 12754, 9517, 281, 10323, 14530, 271, 4343, 454, 1892, 13595, 281, 4569, 692, 2162, 476, 278, 269, 6734, 7352, 1464, 538, 12726, 31283, 692, 1103, 713, 3381, 267, 1053, 4766, 543, 2203, 13260, 1210, 513, 6024, 2551, 3892, 267, 543, 519, 10386, 3892, 540, 513, 3732, 1611, 780, 1892, 12754, 9517, 281, 10323, 14530, 271, 4375, 454, 1892, 13595, 281, 4569, 692, 2162, 476, 278, 269, 6860, 4635, 519, 6239, 23423, 14497, 692, 1103, 713, 3381, 267, 1053, 946, 519, 3844, 3970, 11532, 547, 4766, 13260, 1210, 513, 3732, 1611, 780, 1892, 12754, 9517, 281, 10323, 14530, 27947, 454, 1892, 13595, 281, 4569, 692, 2162, 476, 280, 269, 4905, 17778, 540, 29138, 13281, 692, 1103, 713, 3381, 267, 1053, 786, 1451, 519, 3268, 540, 8367, 4152, 543, 875, 547, 4612, 922, 2164, 780, 1892, 12754, 9517, 281, 10323, 14530, 18089, 454, 1892, 13595, 281, 4569, 692, 2162, 476, 280, 269, 6349, 29138, 4530, 585, 2290, 6399, 267, 3487, 476, 272, 692, 1103, 713, 3381, 267, 1053, 786, 1451, 875, 547, 1685, 513, 8367, 1449, 585, 835, 1611, 780, 1892, 12754, 9517, 281, 10323, 14530, 18733, 454, 1892, 13595, 281, 4569, 692, 2162, 476, 280, 269, 6734, 29138, 4530, 585, 2290, 6399, 267, 3487, 476, 273, 692, 1103, 713, 3381, 267, 1053, 786, 1451, 875, 547, 1685, 513, 8367, 1449, 585, 835, 1611, 543, 4612, 922, 2164, 780, 1892, 12754, 9517, 281, 10323, 14530, 23713, 454, 1892, 13595, 281, 4569, 692, 2162, 476, 280, 269, 6860, 18926, 19043, 5288, 19750, 19043, 692, 1103, 713, 3381, 267, 1053, 786, 1451, 519, 3017, 1063, 8579, 4644, 543, 4052, 4644, 780, 1892, 12754, 9517, 281, 10323, 14530, 25320, 454, 1892, 13595, 281, 4569, 692, 2162, 476, 280, 269, 4962, 29138, 4530, 585, 2290, 1160, 15251, 267, 3487, 476, 272, 692, 1103, 713, 3381, 267, 1053, 786, 1451, 875, 547, 1685, 513, 8367, 1449, 585, 835, 8167, 780, 1892, 12754, 9517, 281, 10323, 14530, 26522, 454, 1892 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 281, 3374, 282, 476, 2190, 281, 1691, 282, 4460, 476, 272, 281, 1691, 994, 272, 269, 1306, 519, 6079, 9991, 676, 2081, 728, 568, 15189, 676, 519, 2182, 543, 1134, 587, 495, 339, 16967, 6577, 2666, 267, 543, 568, 3362, 13603, 909, 676, 519, 5017, 267, 538, 899, 6073, 267, 6079, 540, 2696, 781, 6478, 267, 9991, 2390, 513, 2295, 21235, 1289, 748, 568, 5612, 2879, 520, 3481, 2476, 676, 30616, 563, 273, 269, 834, 25823, 534, 257, 815, 10779, 776, 282, 15623, 7125, 1864, 834, 1492, 29063, 835, 257, 543, 3096, 513, 2262, 799, 1797, 834, 5271, 559, 538, 3742, 11685, 547, 519, 1434, 2437, 16462, 547, 8749, 16764, 3116, 1524, 609, 1864, 883, 602, 13313, 269, 630, 12385, 269, 476, 1724, 281, 866, 264, 19279, 7125, 1864, 834, 1492, 26881, 257, 799, 1797, 834, 1492, 521, 1633, 19907, 282, 519, 7301, 934, 12528, 1701, 630, 299, 8123, 476, 279, 281, 1321, 994, 274, 269, 634, 2601, 30616, 2879, 520, 2583, 519, 6079, 2476, 568, 547, 1832, 835, 689, 1373, 10710, 269, 630, 299, 8123, 476, 279, 281, 1321, 994, 275, 269, 834, 307, 752, 996, 2476, 257, 815, 547, 1491, 2476, 689, 1776, 1018, 568, 8149, 547, 1864, 267, 547, 1491, 676, 3196, 269, 8074, 281, 519, 6079, 729, 521, 1144, 538, 741, 12271, 267, 711, 1175, 1851, 873, 282, 855, 30616, 2879, 520, 2583, 621, 856, 676, 3196, 1354, 621, 814, 942, 547, 1332, 909, 547, 2927, 819, 563, 276, 269, 4223, 269, 476, 1724, 281, 866, 3081, 789, 834, 16187, 996, 621, 711, 257, 815, 1797, 789, 1705, 711, 723, 942, 547, 834, 1584, 621, 1927, 4799, 272, 269, 834, 12024, 3772, 257, 815, 8449, 267, 538, 519, 1482, 1259, 282, 593, 519, 1482, 1505, 540, 7664, 563, 273, 269, 834, 1805, 3415, 2666, 257, 815, 4564, 1346, 945, 5873, 519, 2262, 543, 2024, 547, 581, 7494, 30590, 609, 621, 267, 543, 945, 616, 2407, 540, 1990, 7002, 585, 519, 2262, 563, 274, 269, 834, 10908, 611, 1145, 257, 815, 17869, 6888, 282, 7772, 563, 275, 269, 834, 5970, 1100, 3597, 538, 2933, 257, 815, 9275, 540, 835, 945, 814, 1152, 513, 21603, 1995, 540, 10143, 5168, 543, 814, 711, 15868, 621, 547, 1118, 922, 1259, 883, 519, 25932, 12424, 525, 540, 1010, 9997, 282, 713, 646, 13145, 2306, 513, 834, 2889, 325, 11970, 257, 855, 814, 1100, 834, 335, 1601, 11970, 4799, 276, 269, 834, 17484, 675, 855, 585, 513, 942, 257, 815, 585, 513, 4005, 282, 10151, 563, 277, 269, 834, 288, 742, 997, 5406, 257, 815, 513, 10296, 282, 10296, 1927, 282, 2604, 563, 278, 269, 834, 8110, 15582, 257, 815, 547, 3413, 12787, 7683, 865, 607, 547, 3614, 675, 610, 11605, 563, 279, 269, 834, 2690, 519, 2262, 781, 19160, 257, 815, 593, 2272, 540, 519, 2262, 563, 280, 269, 901, 1223, 1611, 1079, 1919, 912, 288, 269, 634, 2262, 840, 3737, 7282, 13411, 2713, 585, 513, 4168, 4547, 2604, 543, 11605, 2390, 891, 834, 2889, 13940, 832, 257, 547, 519, 6708, 789, 1223, 1491, 621, 1100, 3476, 563, 289, 269, 634, 6788, 540, 1866, 267, 1472, 873, 267, 8384, 543, 29506, 1944, 741, 2729, 4547, 2604, 543, 11605, 799, 3361, 873, 547, 581, 1055, 2105, 563, 1015, 269, 834, 19423, 2105, 257, 815, 547, 2322, 513, 588, 22824, 3625, 610, 15641, 2939, 538, 519, 1259, 2390, 799, 835, 949, 7552, 610, 2887, 563, 1556, 269, 19279, 476, 279, 281, 1724, 3081, 267, 834, 514, 942, 540, 31112, 789, 2887, 2476, 4799, 1321, 269, 834, 307, 3319, 566, 257, 815, 1303, 823, 618, 547, 5609, 2901, 689, 27808, 13821, 610, 689, 21286, 6381, 269, 1452, 834, 560, 3415, 2666, 20485, 257, 723, 711, 519, 10513, 13336, 2713, 3330, 547, 948, 873, 7753, 269, 4475, 267, 789, 2887, 2476, 610, 11198, 2933, 689, 519, 2777, 540, 2696, 815, 891, 11570, 616, 1175, 711, 10710, 563, 272, 269, 634, 834, 628, 1941, 344, 2666, 646, 31600, 257, 616, 789, 602, 5873, 519, 6478, 855, 519, 6478, 540, 2696, 1281, 711, 3142, 8521, 4829, 538, 741, 2729, 269, 1358, 616, 1152, 834, 2889, 13940, 832, 4799, 273, 269, 634, 5247, 985, 5614, 909, 543, 1781, 651, 4625, 519, 6478, 865, 602, 621, 814, 1100, 1198, 593, 519, 1367, 563, 274, 269, 2290, 540, 891, 5247, 985, 568, 834, 1492, 30128, 540, 519, 1158, 257, 815, 4160, 827, 1919, 17640, 547, 713, 3618, 569, 1272, 563, 288, 269, 834, 290, 4100, 257, 815, 568, 689, 513, 3597, 2262, 799, 1797, 547, 581, 6537, 538, 1114, 8846, 267, 3976, 547, 581, 26531, 3248, 1889, 753, 1416, 267, 538, 519, 2631, 540, 4160, 269, 634, 2262, 568, 513, 2186, 1042, 2262, 585, 834, 342, 13446, 4799, 289, 269, 834, 13328, 257, 815, 2085, 269, 3776, 7083, 568, 13288, 547, 519, 19048, 540, 519, 1004, 540, 713, 2085, 945, 2661, 6306, 689, 2696, 563, 275, 269, 6271, 555, 1941, 568, 834, 1492, 13587, 527, 6888, 540, 13284, 1127, 257, 815, 13284, 1127, 616, 3379, 547, 5247, 985, 267, 1317, 267, 899, 5247, 985, 267, 789, 533, 15127, 519, 9997, 269, 630, 296, 7033, 269, 476, 277, 281, 1015, 994, 288, 269, 834, 305, 545, 1127, 257, 815, 11606, 540, 5007, 22590, 563, 289, 269, 834, 5719, 576, 527, 6888, 257, 815, 1373, 3765, 548, 611, 563, 290, 269, 26548, 1127, 616, 13587, 527, 995, 267, 1317, 789, 1419, 6822, 340, 576, 519, 9997, 689, 2696, 543, 689, 20778, 543, 616, 519, 2014, 540, 1082, 21359, 563, 291, 269, 2290, 949, 711, 2965, 4865, 891, 13284, 1127, 267, 855, 723, 513, 7287, 585, 873, 269, 901, 1131, 2014, 519, 6478, 547, 581, 669, 12097, 856, 563, 276, 269, 634, 3791, 555, 1941, 568, 834, 1492, 561, 755, 540, 824, 1919, 4799, 288, 269, 834, 299, 755, 257, 815, 606, 9409, 6159, 1324, 540, 13730, 7287, 563, 289, 269, 834, 8448, 1919, 257, 815, 519, 1964, 540, 519, 1919, 602, 616, 711, 540, 513, 9138, 1362, 610, 1297, 563, 277, 269, 19279, 476, 279, 281, 1691, 19528, 513, 8772, 555, 1941, 267, 834, 921, 9778, 540, 713, 1272, 257, 815, 7287, 585, 5418, 9778, 538, 8726, 1106, 621, 949, 2097, 547, 596, 563, 278, 269, 834, 11767, 532, 538, 257, 815, 14753, 540, 1860, 687, 10024, 519, 9997, 543, 669, 3183, 630, 1729, 1193, 4120, 4625, 264, 519, 6478, 865, 602, 621, 3587, 4652, 8816, 995, 563, 279, 269, 834, 4462, 26258, 995, 257, 815, 711, 27548, 1018, 621, 11129, 547, 6556, 269, 901, 4016, 547, 713, 1895, 540, 1004, 945, 4862, 519, 6478, 543, 1500, 513, 834, 2889, 325, 11970, 257, 855, 941, 2760, 10710, 563, 272, 269, 634, 1434, 2666, 4564, 519, 2295, 799, 11392, 519, 6478, 540, 2696, 609, 7772, 543, 7287, 267, 543, 3020, 20174, 540, 6891, 267, 543, 799, 32344, 569, 25601, 621, 267, 2436, 538, 13884, 610, 14488, 543, 6770, 8521, 4829, 563, 273, 269, 834, 289, 2590, 8521, 4829, 257, 815, 547, 7703, 267, 3142, 8521, 267, 23339, 269, 1975, 7505, 540, 1346, 945, 616, 834, 2889, 13940, 832, 257, 607, 6029, 8521, 741, 834, 335, 1601, 11970, 257, 676, 741, 2932, 267, 23339, 610, 1568, 563, 274, 269, 2290, 568, 711, 10710, 676, 1568, 267, 855, 1568, 798, 2097, 8521, 689, 835, 945, 568, 10710, 269, 630, 292, 874, 269, 476, 273, 281, 279, 587, 495, 1015, 282, 6276, 476, 273, 281, 736, 994, 275, 269, 3807, 607, 519, 834, 21112, 2666, 257, 941, 540, 1614, 5686, 267, 2081, 728, 267, 588, 3415, 267, 543, 555, 1941, 344, 282, 519, 1434, 2666, 568, 1614, 19507, 538, 922, 1587, 4369, 563, 276, 269, 1703, 616, 3604, 540, 2175, 538, 519, 2295, 540, 1312, 1346, 945, 3494, 543, 540, 1346, 945, 798, 711, 3494, 563, 277, 269, 634, 2243, 949, 2097, 267, 834, 1432, 2306, 519, 2666, 1434, 24350, 288, 269, 630, 299, 8123, 476, 279, 281, 1428, 264, 834, 295, 517, 652, 2295, 257, 815, 835, 1590, 1205, 9237, 609, 5128, 543, 2696, 269, 630, 297, 518, 269, 476, 1704, 281, 280, 994, 289, 269, 630, 299, 8123, 476, 279, 281, 1428, 264, 834, 14187, 2295, 257, 815, 513, 2295, 602, 814, 1044, 7745, 269, 630, 11679, 320, 269, 476, 4097, 281, 1240, 282, 476, 7906, 281, 1704, 282, 15643, 269, 476, 5780, 281, 273, 264, 834, 6944, 1679, 257, 815, 16760, 538, 6891, 676, 5601, 569, 28194, 563, 290, 269, 630, 299, 8123, 476, 279, 281, 1428, 264, 834, 16605, 257, 815, 547, 3180, 3728, 282, 1832, 5150, 282, 1832, 6109, 15896, 540, 282, 547, 9856, 563, 291, 269, 630, 12385, 269, 476, 1724, 281, 2537, 264, 834, 308, 2955, 996, 257, 815, 547, 2322, 621, 782, 1927, 543, 1118, 2631, 856, 540, 621, 267, 899, 8380, 513, 1804, 11015, 1927, 269, 630, 11990, 476, 277, 281, 3393, 264, 634, 10513, 26415, 568, 519, 1152, 835, 945, 666, 2285, 596, 1620, 269, 630, 11990, 476, 274, 281, 2767, 282, 594, 4856, 269, 476, 1321, 281, 274, 282, 594, 4856, 269, 476, 273, 281, 280, 587, 495, 1015, 994, 736, 269, 3474, 762, 2986, 634, 15443, 548, 966, 269, 476, 2641, 587, 495, 1839, 454, 272, 269, 834, 290, 663, 548, 257, 815, 513, 15409, 17689, 563, 273, 269, 834, 289, 639, 3559, 257, 815, 1978, 2268, 585, 3819, 1919, 282, 1767, 547, 581, 827, 519, 6697, 540, 513, 890, 1188, 540, 938, 1554, 563, 274, 269, 834, 289, 539, 257, 815, 519, 556, 743, 1456, 4172, 577, 5116, 693, 519, 2427, 540, 519, 18226, 3349, 563, 275, 269, 834, 290, 663, 23057, 1157, 257, 815, 513, 17689, 1056, 593, 799, 513, 17689, 729, 5116, 563, 276, 269, 1452, 2185, 3688, 941, 5432, 3615, 538, 519, 8075, 540, 602, 1554, 543, 942, 282, 4061, 267, 519, 1612, 762, 1223, 581, 6956, 676, 519, 20785, 563, 277, 269, 634, 17689, 799, 1185, 606, 1930, 18723, 1131, 711, 581, 2322, 896, 513, 1668, 3559, 1317, 621, 1131, 581, 1159, 6139, 1042, 856, 267, 16310, 711, 4758, 1055, 1022, 1769, 563, 278, 269, 4746, 267, 547, 2322, 621, 896, 513, 4172, 577, 1131, 1305, 519, 4172, 577, 593, 3595, 267, 3079, 596, 1131, 2322, 621, 593, 513, 17689, 1056, 865, 621, 1131, 2285, 1769, 547, 782, 538, 519, 2777, 563, 272, 269, 15394, 649, 946, 713, 14235, 547, 4001, 602, 938, 1169, 6456, 2219, 543, 632, 539, 786, 2097, 856, 693, 519, 7225, 8540, 1530, 520, 540, 2441, 563, 273, 269, 901, 568, 3020, 267, 855, 538, 2796, 4906, 814, 1175, 5018, 519, 13655, 540, 519, 8003, 630, 2091, 476, 1556, 264, 543, 1261, 729, 31464, 602, 519, 13655, 540, 713, 1390, 1612, 762, 540, 519, 521, 1077, 543, 540, 824, 1612, 1963, 1058, 581, 10703, 4705, 267, 855, 602, 3571, 20785, 1058, 11200, 891, 1919, 547, 1866, 607, 1261, 1185, 547, 873, 269, 630, 12385, 269, 476, 1015, 281, 2767, 994, 274, 269, 13518, 267, 1360, 1454, 267, 568, 1631, 6456, 689, 721, 282, 538, 2470, 267, 538, 1364, 775, 267, 543, 538, 11419, 267, 855, 621, 786, 711, 2141, 581, 6456, 563, 275, 269, 834, 10048, 604, 6479, 257, 815, 547, 1118, 8915, 610, 7298, 610, 1634, 1018, 814, 1044, 6456, 610, 7164, 563, 276, 269, 634, 17689, 568, 519, 1769, 540, 23942, 5168, 267, 26124, 538, 938, 9997, 950, 10710, 1317, 540, 2441, 538, 721, 563, 277, 269, 901, 1769, 538, 938, 20339, 568, 711, 540, 938, 3257, 267, 6862, 540, 938, 1378, 2186, 1782, 282, 621, 2501, 689, 2696, 602, 649, 949, 8915, 621, 585, 3571, 18710, 269, 630, 12385, 269, 476, 276, 281, 1691, 587, 495, 1626, 994, 272, 269, 834, 2252, 257, 815, 2094, 269, 634, 1448, 568, 602, 789, 723, 10772, 547, 5873, 282, 4061, 267, 789, 11129, 547, 946, 873, 267, 711, 1152, 2168, 10772, 267, 855, 519, 10710, 723, 5289, 10772, 563, 273, 269, 12344, 930, 538, 3430, 1549, 729, 7074, 563, 274, 269, 834, 295, 792, 257, 7390, 547, 543, 2015, 1018, 568, 1373, 1767, 269, 634, 13029, 11363, 513, 6024, 2962, 563, 272, 269, 834, 12648, 646, 539, 257, 815, 547, 9260, 5402, 282, 4983, 282, 547, 2490, 519, 4555, 610, 1463, 519, 2247, 547, 1018, 596, 5873, 269, 2334, 799, 568, 4502, 6217, 1058, 581, 4862, 1318, 569, 543, 646, 17660, 563, 273, 269, 834, 9288, 5501, 257, 815, 7893, 11425, 282, 519, 4341, 543, 3044, 540, 10385, 563, 274, 269, 834, 18404 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18506, 563, 268, 30577, 962, 690, 4669, 563, 268, 31201, 540, 570, 691, 541, 563, 268, 590, 712, 22447, 563, 268, 19748, 517, 4236, 823, 563, 268, 11833, 590, 18649, 563, 1692, 798, 596, 1118, 11256, 14614, 888, 1103, 519, 3752, 341, 599, 1184, 267, 3327, 8166, 543, 20342, 616, 5293, 883, 513, 13671, 3070, 540, 9770, 17296, 269, 9197, 8775, 9770, 22833, 12365, 622, 10511, 527, 919, 856, 543, 568, 12699, 547, 1106, 14614, 11849, 267, 799, 568, 1287, 2417, 5701, 543, 15568, 547, 1106, 9770, 22833, 12365, 622, 540, 2136, 2276, 1912, 7568, 659, 641, 4141, 807, 630, 308, 2529, 10422, 4700, 19454, 563, 1432, 4523, 952, 594, 1810, 1406, 1039, 11256, 8869, 888, 2005, 568, 2009, 547, 1118, 12897, 1510, 11256, 14614, 610, 11256, 8869, 267, 855, 519, 4611, 23739, 786, 581, 10053, 269, 901, 568, 1317, 3327, 8166, 568, 711, 1373, 3812, 676, 513, 3114, 5114, 602, 3335, 4386, 950, 11256, 14614, 610, 8869, 568, 1459, 538, 519, 23739, 4402, 563, 1432, 568, 513, 1434, 12990, 585, 11256, 14614, 888, 268, 645, 1136, 32254, 269, 6145, 11256, 14614, 267, 11256, 8869, 568, 606, 12146, 4749, 1031, 538, 11256, 547, 3895, 4473, 267, 610, 682, 822, 2287, 267, 540, 519, 3803, 1587, 563, 268, 8000, 9914, 645, 545, 12365, 622, 543, 17865, 563, 268, 22823, 779, 2549, 3000, 807, 563, 268, 8682, 7304, 2358, 4469, 712, 563, 4692, 594, 946, 1163, 1600, 11256, 8869, 888, 2750, 18944, 645, 1136, 32254, 12186, 454, 2750, 18944, 11256, 8869, 19380, 922, 1494, 1890, 1310, 922, 946, 8386, 4266, 267, 2356, 476, 1240, 547, 476, 2190, 3275, 1310, 5478, 269, 634, 1152, 8594, 540, 1210, 1163, 1600, 11256, 14614, 610, 11256, 8869, 568, 922, 17418, 547, 5265, 4473, 267, 4611, 538, 19323, 5370, 602, 616, 6366, 543, 10053, 563, 3963, 798, 10346, 1289, 585, 1312, 11256, 14614, 543, 11256, 8869, 888, 15368, 1227, 267, 519, 2601, 585, 1312, 568, 1317, 3006, 596, 991, 811, 682, 822, 2287, 982, 596, 723, 3679, 2139, 538, 519, 11600, 269, 898, 779, 782, 827, 3666, 269, 6271, 2601, 547, 946, 1312, 11256, 8869, 543, 11256, 14614, 568, 1317, 789, 1860, 1312, 536, 20621, 543, 8137, 563, 1432, 4523, 952, 596, 2322, 1932, 1454, 11256, 14614, 538, 513, 11600, 888, 8196, 513, 1507, 2179, 540, 606, 15755, 7873, 2939, 971, 607, 11993, 10433, 610, 16693, 547, 9243, 1047, 519, 14614, 269, 1403, 519, 11600, 814, 10217, 267, 3274, 1039, 3368, 513, 23188, 540, 23342, 8869, 547, 621, 269, 1809, 3410, 20488, 666, 849, 581, 1031, 547, 4831, 519, 533, 2426, 550, 6492, 540, 11256, 14614, 563, 1432, 2306, 513, 14735, 29008, 344, 888, 290, 820, 7912, 814, 8970, 20566, 6404, 538, 621, 543, 621, 2306, 519, 14735, 29008, 344, 269, 634, 2601, 521, 14823, 568, 1271, 568, 602, 621, 8591, 2011, 543, 2306, 519, 7848, 14402, 269, 4475, 267, 621, 568, 1360, 1271, 547, 521, 3424, 519, 7912, 543, 11256, 14614, 269, 590, 14823, 1354, 4946, 873, 547, 519, 7848, 2306, 707, 14735, 29008, 344, 543, 2706, 2770, 27918, 563, 1432, 4523, 952, 596, 3575, 909, 11256, 14614, 543, 11256, 8869, 888, 763, 1101, 5114, 3217, 1747, 950, 596, 1039, 519, 11256, 8869, 547, 519, 4402, 543, 621, 568, 5848, 2989, 269, 2290, 540, 519, 3679, 20919, 23465, 609, 519, 11256, 14614, 543, 7472, 3327, 8166, 3154, 269, 634, 2034, 5114, 3217, 1747, 950, 519, 4402, 568, 5116, 538, 519, 14089, 269, 634, 3154, 2281, 4228, 4929, 519, 4402, 547, 4473, 563, 4692, 596, 4235, 22833, 16808, 14614, 888, 2791, 666, 946, 621, 547, 281, 2836, 332, 30724, 3878, 281, 5410, 476, 272, 270, 275, 23188, 540, 11256, 14614, 547, 513, 4837, 540, 1216, 547, 1990, 777, 3679, 538, 707, 7181, 269, 1809, 3679, 3085, 1406, 2014, 782, 5686, 540, 30724, 3878, 267, 865, 952, 707, 2589, 1810, 1406, 2087, 1310, 476, 273, 4374, 267, 1289, 707, 4387, 269, 5213, 1406, 1491, 11256, 14614, 1369, 476, 273, 3108, 540, 824, 6527, 563, 1432, 4523, 950, 596, 1039, 1932, 1454, 11256, 14614, 547, 12897, 888, 4517, 1317, 11256, 14614, 849, 12857, 3327, 8166, 267, 610, 2011, 267, 547, 519, 14859, 267, 1932, 1454, 540, 621, 786, 1711, 513, 23739, 602, 779, 14735, 344, 2864, 982, 1750, 14567, 563, 1432, 4523, 952, 594, 946, 11256, 8869, 3079, 540, 11256, 14614, 538, 19337, 3694, 888, 2252, 596, 2461, 856, 540, 11256, 14614, 267, 4250, 711, 269, 9453, 513, 682, 822, 2287, 8665, 899, 11256, 14614, 610, 11256, 8869, 267, 3694, 543, 25394, 666, 1869, 581, 1500, 267, 789, 1175, 4465, 1406, 4473, 607, 1134, 269, 901, 19337, 3694, 11600, 1510, 11256, 14614, 814, 11256, 8869, 3079, 540, 14614, 269, 898, 568, 513, 2370, 16437, 518, 982, 835, 602, 2882, 11256, 14614, 563, 3963, 798, 596, 2322, 22833, 16808, 538, 19337, 14735, 888, 268, 621, 4679, 519, 9063, 540, 519, 4402, 267, 3056, 547, 513, 536, 992, 1676, 267, 1454, 18632, 1835, 3518, 543, 12933, 563, 268, 621, 13035, 3278, 676, 4227, 15347, 5250, 538, 519, 4402, 563, 3963, 6496, 19337, 14735, 991, 11256, 14614, 888, 289, 1136, 8869, 543, 11256, 14614, 1312, 3132, 3327, 8166, 267, 799, 2337, 6318, 610, 968, 548, 13273, 892, 19323, 2472, 269, 645, 1136, 14614, 1568, 1655, 538, 14966, 609, 606, 15755, 12146, 269, 769, 519, 2013, 540, 19337, 3694, 267, 713, 949, 581, 855, 3410, 20488, 267, 6960, 4006, 267, 12387, 13293, 610, 519, 20397, 2933, 563, 1432, 568, 519, 3017, 1063, 11256, 14614, 543, 11256, 8869, 538, 513, 11600, 888, 289, 1136, 14614, 568, 476, 1911, 2600, 9770, 22833, 12365, 622, 267, 606, 22279, 6070, 7623, 602, 5932, 3327, 8166, 3154, 950, 6404, 609, 606, 3679, 269, 645, 1136, 8869, 267, 593, 519, 824, 1688, 267, 568, 513, 7848, 540, 9770, 22833, 12365, 622, 543, 606, 3679, 899, 8645, 540, 25188, 541, 799, 3340, 7509, 543, 3002, 547, 19334, 563, 1432, 2306, 513, 14735, 5848, 543, 2770, 27918, 888, 305, 7112, 18323, 19643, 1315, 5213, 1406, 3683, 4211, 3195, 454, 3719, 614, 568, 5827, 540, 8066, 2011, 543, 519, 1212, 5446, 1184, 568, 950, 7423, 20637, 602, 2011, 269, 2755, 11256, 267, 602, 16290, 2011, 21040, 543, 7472, 513, 2770, 27918, 14735, 563, 1692, 798, 596, 1118, 25394, 4473, 543, 2770, 27918, 888, 268, 7427, 519, 1234, 10360, 563, 268, 5410, 513, 2274, 822, 2287, 32652, 563, 268, 31201, 519, 19643, 543, 17491, 563, 268, 674, 1245, 23123, 8625, 1107, 5213, 1406, 17186, 563, 268, 19130, 519, 595, 820, 7754, 7743, 569, 563, 268, 3680, 519, 645, 2660, 17553, 18320, 16797, 569, 563, 268, 6744, 519, 744, 1597, 18323, 563, 1692, 798, 596, 1118, 25394, 2770, 742, 1512, 888, 2662, 529, 6362, 7423, 543, 4006, 1927, 568, 835, 1898, 9133, 547, 1118, 519, 14735, 29008, 344, 267, 2770, 27918, 543, 5848, 269, 1733, 7416, 7423, 543, 4006, 585, 1279, 2394, 519, 7848, 3587, 12779, 5835, 543, 2770, 27918, 1317, 540, 25465, 540, 2011, 269, 634, 1184, 568, 1634, 607, 1212, 5446, 563, 3674, 7423, 610, 3282, 1732, 585, 25394, 888, 763, 9403, 540, 25394, 1500, 609, 3282, 568, 24568, 2489, 1765, 27273, 1640, 547, 519, 9403, 540, 25394, 1500, 609, 7423, 269, 13813, 25394, 4043, 547, 27106, 909, 3138, 1111, 1512, 609, 513, 811, 1256, 1835, 3518, 543, 3251, 5848, 543, 13035, 2484, 3476, 982, 25394, 1500, 609, 7423, 269, 0, 268, 7324, 891, 729, 519, 3661, 602, 782, 1004, 267, 2436, 3864, 267, 7111, 1977, 267, 610, 3979, 1977, 267, 616, 4535, 3160, 543, 602, 782, 1004, 723, 4909, 2924, 267, 971, 607, 15698, 267, 1863, 4082, 267, 3909, 5191, 267, 1813, 1184, 540, 1876, 267, 543, 519, 1318, 547, 27043, 269, 1548, 1705, 519, 3935, 626, 2015, 547, 581, 1271, 888, 268, 476, 272, 1548, 616, 519, 19623, 338, 1634, 585, 888, 268, 476, 273, 1548, 1705, 519, 15815, 15317, 338, 3494, 888, 268, 476, 274, 1548, 729, 519, 15815, 15317, 338, 1101, 12733, 888, 268, 476, 275, 1548, 729, 519, 3312, 3804, 540, 519, 19623, 338, 888, 268, 476, 276, 1215, 1082, 21152, 941, 693, 519, 1101, 21175, 888, 268, 476, 277, 4208, 1705, 15815, 15317, 338, 8661, 519, 1101, 21175, 888, 268, 476, 278, 5808, 941, 519, 15815, 15317, 338, 693, 519, 1101, 21175, 888, 268, 476, 279, 1548, 616, 1079, 5013, 827, 15815, 15317, 338, 888, 268, 476, 280, 1548, 1705, 519, 15815, 15317, 338, 798, 547, 519, 25165, 888, 268, 476, 1015, 1548, 1705, 519, 15815, 15317, 338, 3142, 609, 873, 888, 268, 476, 1556, 1215, 1705, 15815, 15317, 338, 7639, 519, 1101, 5162, 888, 268, 476, 1321, 5808, 941, 2904, 17810, 15815, 15317, 338, 888, 268, 476, 1724, 4208, 1705, 519, 21152, 6430, 547, 1711, 519, 2904, 17810, 3281, 716, 888, 268, 476, 1691, 1548, 1705, 519, 15815, 15317, 338, 1589, 540, 607, 513, 7064, 15130, 888, 268, 476, 1428, 1215, 1082, 3312, 15815, 15317, 13896, 941, 972, 888, 1432, 616, 519, 19623, 338, 1634, 585, 888, 2467, 568, 865, 1454, 7242, 543, 18691, 1472, 519, 2043, 649, 917, 607, 15815, 15317, 338, 602, 649, 616, 20916, 547, 7340, 602, 789, 941, 4890, 1004, 269, 6736, 519, 1249, 602, 789, 24389, 593, 519, 19416, 476, 14341, 271, 7552, 593, 519, 6928, 2904, 17810, 543, 3964, 623, 569, 17625, 2051, 3415, 1996, 782, 12918, 267, 789, 941, 1175, 2834, 2296, 5443, 543, 2021, 563, 1432, 1705, 519, 15815, 15317, 338, 3494, 888, 2005, 729, 519, 15815, 15317, 338, 685, 3661, 602, 2696, 1185, 2392, 652, 1441, 547, 1711, 519, 1158, 607, 1134, 607, 812, 543, 782, 1919, 1354, 519, 1158, 729, 1256, 2813, 269, 1261, 849, 24441, 267, 693, 519, 942, 267, 945, 1131, 581, 11324, 4240, 543, 945, 1131, 581, 2481, 2740, 267, 1759, 593, 741, 3527, 269, 8307, 1346, 6074, 676, 2696, 1131, 581, 2111, 547, 4324, 689, 2696, 779, 3870, 543, 723, 6015, 563, 1432, 729, 519, 15815, 15317, 338, 1101, 12733, 888, 288, 11028, 18590, 16939, 729, 771, 6312, 3481, 267, 543, 538, 3735, 5412, 267, 519, 2754, 15354, 538, 623, 569, 17625, 23320, 267, 1141, 789, 1131, 3715, 519, 1101, 8628, 3864, 11175, 538, 1715, 4789, 585, 7366, 540, 1296, 269, 15815, 15317, 12429, 338, 267, 610, 3274, 519, 15815, 15317, 338, 267, 616, 519, 15713, 11082, 540, 623, 569, 17625, 2051, 3415, 267, 543, 789, 941, 519, 1101, 17417, 547, 12446, 538, 3345, 3013, 563, 1432, 729, 519, 3312, 3804, 540, 519, 19623, 338, 888, 8005, 21518, 519, 5853, 619, 540, 623, 569, 17625, 2051, 3415, 286, 634, 2904, 17810, 15815, 15317, 338, 941, 513, 1895, 540, 1472, 476, 1911, 7606, 945, 8179, 3909, 7115, 689, 519, 5783, 540, 4789, 593, 519, 2904, 17810, 563, 1692, 1082, 21152, 941, 693, 519, 1101, 21175, 888, 763, 15815, 15317, 338, 4371, 513, 5428, 547, 29428, 741, 7556, 267, 607, 729, 22232, 538, 4789, 693, 519, 942, 269, 634, 968, 5575, 21175, 892, 729, 13984, 676, 519, 6967, 476, 2004, 21152, 607, 1134, 607, 1472, 476, 3445, 654, 2086, 8457, 698, 25165, 563, 3963, 1705, 15815, 15317, 338, 8661, 519, 1101, 21175, 888, 763, 21175, 3171, 770, 729, 4371, 593, 519, 1101, 21175, 269, 1306, 851, 540, 741, 3909, 2853, 267, 519, 2296, 21152, 1634, 607, 519, 15815, 15317, 338, 4767, 2395, 540, 7064, 15130, 269, 25214, 267, 938, 3084, 9702, 949, 581, 14360, 1394, 547, 513, 21649, 18799, 676, 519, 15815, 15317, 338, 543, 519, 654, 2086, 8457, 698, 538, 519, 2887, 540, 476, 14341, 272, 547, 29428, 519, 12733, 779, 1101, 1434, 7556, 563, 8005, 941, 519, 15815, 15317, 338, 693, 519, 1101, 21175, 888, 2691, 519, 623, 569, 17625, 21152, 543, 519, 654, 2086, 8457, 698, 9976, 606, 15489, 7556, 21649, 538, 476, 14341, 272, 267, 621, 568, 2808, 547, 581, 835, 540, 519, 1101, 21175, 16873, 538, 519, 2136, 2276, 267, 2687, 547, 12206, 269, 2817, 2395, 540, 7064, 15130, 723, 1044, 4767, 676, 1585, 7810, 543, 1533, 6608, 585, 811, 982, 1079, 5553, 563, 1432, 616, 1079, 5013, 827, 15815, 15317, 338, 888, 276, 21624, 12700, 6168, 519, 15815, 15317, 338, 1411, 631, 697, 3502, 5620, 19612, 454, 268, 3502, 782, 540, 519, 15915, 593, 519, 2904, 17810, 941, 12592, 676, 3909, 4978, 269, 634, 2904, 17810, 1705, 711, 12446, 538, 623, 569, 17625, 1354, 519, 15815, 15317, 338, 269, 634, 15815, 15317, 338, 1705, 711, 1289, 623, 569, 17625, 267, 12590, 267, 1310, 519, 4884, 538, 4789, 1141, 789, 1185, 12306, 269, 2368, 540, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 543, 621, 814, 1044, 1336, 602, 1082, 1004, 609, 1164, 1973, 2604, 849, 723, 513, 13101, 10638, 269, 4475, 267, 3063, 5567, 543, 7777, 9360, 609, 13101, 1543, 616, 4105, 538, 1931, 547, 2057, 1022, 2564, 8374, 563, 300, 1725, 10901, 1656, 16200, 518, 645, 2158, 912, 300, 1725, 10901, 3632, 3433, 2337, 547, 4368, 7513, 5265, 269, 898, 949, 9514, 930, 1004, 779, 2247, 602, 519, 7513, 9360, 789, 2461, 2921, 616, 711, 1152, 24631, 267, 855, 616, 2965, 7700, 547, 21404, 256, 1703, 616, 2965, 827, 29933, 1898, 5567, 602, 3565, 547, 5642, 1072, 282, 13804, 10901, 3632, 3433, 568, 9090, 835, 540, 519, 1034, 1898, 267, 1317, 621, 22262, 513, 1880, 9449, 1572, 18287, 527, 13908, 269, 1656, 267, 621, 849, 16401, 525, 513, 9449, 1572, 1612, 4331, 5514, 602, 9397, 1524, 5642, 563, 25105, 9811, 267, 972, 779, 602, 9589, 2262, 1586, 602, 782, 1826, 476, 272, 31911, 2648, 547, 1835, 16636, 543, 5066, 741, 4064, 693, 630, 1889, 3769, 1040, 700, 1115, 1491, 513, 6251, 1413, 693, 1946, 21411, 571, 568, 513, 1390, 1840, 547, 513, 2635, 2732, 543, 1946, 594, 4811, 10691, 2469, 547, 4012, 1227, 10826, 1826, 476, 272, 3987, 269, 3657, 596, 4712, 286, 21411, 267, 13071, 979, 2336, 302, 330, 571, 849, 1634, 607, 10733, 2692, 610, 14799, 11263, 267, 568, 513, 1455, 10448, 538, 7013, 5986, 267, 1141, 621, 568, 22304, 267, 23017, 610, 4584, 1194, 267, 1419, 2059, 609, 14274, 267, 8970, 610, 19637, 269, 590, 997, 539, 267, 11273, 21453, 571, 13847, 513, 10433, 602, 5394, 839, 12862, 267, 1818, 621, 606, 1898, 12146, 540, 10733, 2692, 267, 513, 2757, 11511, 1961, 12403, 269, 17859, 540, 519, 5986, 1505, 267, 21453, 571, 568, 513, 1434, 1970, 23343, 12929, 267, 3170, 6954, 267, 8770, 1673, 1619, 1840, 547, 1022, 2732, 563, 302, 330, 571, 1656, 27438, 912, 288, 476, 272, 270, 273, 2275, 1575, 7674, 540, 30000, 267, 11273, 21453, 571, 2488, 476, 273, 10101, 540, 8192, 6775, 269, 901, 2179, 7727, 5111, 476, 1015, 2600, 540, 519, 772, 2529, 269, 4972, 540, 11982, 779, 5227, 3232, 27108, 540, 6775, 585, 2635, 2937, 2367, 543, 2021, 20170, 547, 513, 476, 273, 267, 1822, 23343, 12929, 2732, 269, 21411, 571, 779, 6775, 1543, 568, 1500, 909, 540, 1312, 19729, 543, 1202, 20107, 6775, 269, 4340, 547, 25832, 18669, 2593, 267, 19729, 6775, 949, 948, 2061, 3987, 543, 1164, 1973, 8501, 267, 1247, 1202, 20107, 6775, 21560, 9667, 1062, 3252, 269, 589, 476, 1220, 280, 968, 301, 9173, 17352, 892, 2376, 8591, 602, 6775, 949, 849, 24390, 707, 1981, 540, 8377, 267, 8482, 267, 2295, 2068, 543, 13119, 10756, 302, 330, 571, 1656, 26640, 8376, 912, 3080, 1353, 3370, 538, 519, 5239, 476, 1220, 276, 808, 559, 514, 6481, 4750, 1336, 602, 2834, 4616, 540, 21453, 571, 666, 948, 2061, 8459, 2068, 269, 769, 519, 1353, 267, 968, 29006, 945, 17696, 21453, 571, 3232, 4389, 4791, 4191, 540, 8459, 3441, 811, 982, 1346, 602, 3274, 17696, 513, 15847, 2732, 1848, 901, 849, 13218, 538, 609, 3987, 267, 607, 5176, 476, 2004, 260, 540, 8459, 2068, 2665, 616, 3361, 676, 3987, 563, 302, 330, 571, 1656, 13245, 16164, 912, 24791, 595, 2337, 1832, 519, 2960, 3168, 1762, 543, 7524, 269, 634, 6171, 11226, 538, 519, 2208, 543, 7816, 540, 15629, 8031, 267, 799, 5540, 20018, 5250, 543, 2960, 6477, 7695, 267, 543, 2337, 547, 29915, 622, 8697, 2960, 269, 21411, 571, 568, 2407, 540, 6171, 595, 563, 12749, 673, 9133, 281, 4425, 559, 513, 19625, 540, 21453, 571, 2394, 2571, 269, 2991, 15603, 621, 3579, 267, 544, 1662, 621, 267, 543, 4019, 621, 547, 707, 3068, 269, 2991, 476, 276, 3764, 267, 707, 2960, 1058, 1745, 5347, 543, 29915, 730, 0, 29619, 540, 519, 10598, 937, 24544, 267, 10495, 267, 543, 29407, 3590, 630, 13548, 264, 2160, 540, 29016, 9523, 7179, 661, 5336, 841, 6970, 1632, 589, 10060, 787, 13957, 10325, 630, 13582, 543, 5835, 15956, 786, 2408, 543, 14897, 693, 4351, 2053, 538, 4351, 6753, 540, 519, 3308, 2361, 538, 1931, 547, 2708, 519, 3148, 543, 6708, 540, 3308, 10714, 264, 568, 4843, 547, 519, 3461, 1247, 519, 3461, 781, 661, 9680, 5365, 568, 6592, 269, 1879, 3308, 10714, 568, 9571, 1210, 661, 9680, 12454, 2934, 267, 519, 1617, 574, 27567, 5955, 1770, 12153, 519, 4999, 540, 3308, 267, 17391, 267, 543, 688, 10364, 5955, 547, 519, 3461, 269, 15894, 12653, 520, 13019, 322, 752, 11535, 1315, 519, 2160, 540, 29016, 26402, 10163, 2774, 687, 7183, 9523, 7179, 661, 5336, 841, 2598, 25068, 281, 21191, 3008, 543, 31823, 256, 616, 711, 3743, 585, 519, 6111, 540, 3377, 13847, 11540, 547, 31823, 256, 676, 7700, 5238, 610, 585, 519, 946, 540, 1022, 1344, 998, 519, 31823, 1062, 269, 0, 763, 12876, 24184, 2920, 568, 476, 2004, 1296, 2025, 713, 1032, 269, 4813, 518, 5518, 10370, 526, 517, 9652, 8045, 713, 19506, 4062, 540, 3540, 2924, 9086, 2395, 1310, 9410, 13162, 3751, 12789, 10200, 338, 26923, 269, 3751, 1419, 1767, 8027, 729, 513, 1883, 11802, 538, 519, 6560, 585, 3979, 12677, 9698, 538, 519, 2136, 2276, 563, 2171, 12038, 609, 8355, 1955, 1067, 6921, 3089, 267, 513, 7548, 538, 519, 12124, 5525, 4659, 693, 11908, 3557, 2160, 269, 1261, 5941, 875, 9086, 689, 476, 2004, 1296, 3516, 8032, 875, 8027, 538, 11908, 3252, 2221, 269, 0, 17730, 7956, 13340, 525, 454, 17806, 10833, 666, 2270, 835, 1899, 540, 1863, 845, 1257, 20196, 568, 267, 4376, 602, 519, 21233, 6499, 547, 1826, 11652, 616, 3335, 1031, 585, 4408, 267, 9607, 267, 543, 519, 899, 563, 2467, 616, 1082, 2081, 547, 5094, 707, 1106, 2609, 689, 1142, 824, 269, 769, 891, 1806, 267, 649, 616, 1210, 796, 23912, 8638, 2073, 855, 596, 666, 849, 946, 519, 2820, 267, 533, 267, 610, 1490, 2609, 547, 10891, 707, 1106, 2609, 563, 283, 845, 1505, 6889, 14006, 257, 3267, 0, 27908, 687, 540, 1004, 2661, 538, 6710, 1317, 789, 1175, 2760, 4121, 875, 547, 4308, 609, 741, 18083, 563, 26296, 2069, 1058, 581, 6026, 693, 1153, 563, 289, 644, 1326, 532, 267, 9494, 267, 10115, 543, 7963, 1058, 581, 6026, 693, 1153, 689, 519, 2038, 2395, 563, 9596, 827, 2724, 693, 1153, 666, 1118, 513, 5458, 3017, 563, 13146, 2090, 1867, 602, 1453, 602, 723, 4607, 930, 2883, 2069, 693, 1153, 616, 811, 2693, 547, 4688, 2724, 5265, 563, 5649, 811, 593, 519, 1764, 540, 2883, 7924, 693, 1153, 563, 10287, 713, 21936, 269, 0, 9558, 331, 2209, 1510, 645, 7451, 15321, 2274, 663, 549, 1234, 529, 568, 3056, 513, 1788, 547, 5705, 1856, 1072, 8874, 883, 936, 513, 18797, 4095, 4654, 1519, 20052, 30253, 267, 30899, 10620, 543, 918, 2335, 3385, 269, 1452, 8874, 267, 2813, 676, 519, 12624, 543, 4132, 2657, 543, 4065, 11565, 267, 786, 5000, 10506, 543, 2146, 1072, 4600, 547, 4001, 1007, 11299, 827, 20418, 741, 9002, 563, 14367, 5705, 527, 1782, 960, 568, 1373, 5645, 856, 593, 519, 12297, 306, 18510, 2593, 3760, 563, 3963, 568, 713, 865, 1271, 286, 5221, 1142, 1554, 476, 1556, 267, 1822, 9002, 5884, 538, 519, 3384, 1158, 689, 28824, 3123, 269, 2986, 1346, 945, 5884, 267, 476, 2420, 2600, 1223, 7639, 952, 741, 11299, 1185, 1732, 1702, 827, 20418, 563, 12552, 547, 519, 13538, 596, 1294, 1934, 267, 543, 1082, 1866, 267, 25927, 2209, 1510, 645, 7451, 568, 2324, 547, 2327, 602, 538, 519, 2104, 267, 11299, 538, 3127, 786, 917, 875, 547, 1832, 741, 9002, 2635, 269, 3367, 811, 1934, 269, 0, 4002, 3776, 7186, 12532, 630, 324, 9349, 994, 5978, 3689, 13185, 6168, 3776, 8177, 2201, 634, 5113, 454, 1372, 808, 650, 1014, 21662, 454, 306, 984, 516, 522, 561, 643, 549, 454, 1607, 11609, 15923, 4605, 1433, 676, 1126, 18673, 3220, 269, 808, 650, 1014, 21662, 12857, 1453, 547, 519, 1271, 1888, 540, 519, 1604, 269, 14958, 539, 1472, 513, 6643, 1063, 513, 3446, 17469, 27070, 1126, 543, 606, 2937, 267, 713, 14374, 25700, 1433, 1210, 2085, 29003, 1893, 543, 3159, 786, 948, 1453, 3337, 741, 1620, 540, 519, 2067, 1158, 543, 875, 789, 7119, 538, 7863, 621, 269, 3220, 269, 21662, 6238, 519, 4901, 609, 519, 2010, 540, 5533, 543, 17885, 602, 1453, 1522, 5469, 593, 513, 2470, 3802, 610, 513, 7552, 547, 519, 11824, 267, 875, 789, 616, 3361, 543, 875, 547, 960, 547, 2087, 1919, 538, 741, 1378, 2729, 543, 2950, 7868, 2622, 15907, 2974, 3126, 12857, 1453, 547, 1950, 2686, 267, 1514, 543, 2825, 2152, 789, 949, 7237, 3544, 741, 5321, 267, 538, 606, 3015, 1259, 269, 17121, 321, 1513, 2709, 2417, 2542, 585, 4587, 1453, 610, 1416, 7426, 945, 723, 8273, 2055, 269, 1280, 7820, 1453, 1175, 4358, 547, 1118, 891, 7422, 267, 519, 2241, 2243, 7146, 268, 24987, 3898, 540, 519, 1292, 1257, 786, 1683, 513, 5748, 540, 1702, 593, 519, 1641, 2339, 20136, 568, 519, 21777, 2140, 538, 634, 2622, 15907, 2974, 3126, 267, 1739, 2835, 602, 2232, 6710, 267, 13357, 267, 14882, 267, 2228, 4656, 543, 1560, 3106, 543, 1560, 3239, 269, 0, 3528, 13961, 16039, 275, 18350, 272, 332, 269, 18827, 6096, 269, 2311, 13638, 267, 5239, 476, 5400, 628, 476, 1001, 280, 267, 476, 866, 281, 6349, 281, 1691, 6751, 563, 13043, 568, 513, 1641, 602, 1082, 3214, 723, 8373, 609, 607, 789, 3356, 998, 1153, 269, 898, 568, 1898, 602, 2979, 2596, 1983, 581, 27058, 2038, 593, 267, 607, 891, 1983, 1628, 519, 5748, 585, 1620, 9875, 2035, 5189, 538, 2362, 9344, 269, 3689, 3446, 2979, 3568, 3833, 513, 1906, 1271, 1983, 267, 543, 1210, 2228, 3756, 949, 581, 2111, 547, 2285, 1053, 519, 948, 789, 991, 538, 1931, 547, 1831, 31402, 538, 2324, 609, 2338, 269, 769, 9656, 267, 3214, 1451, 2241, 2979, 1983, 899, 1297, 6284, 543, 10203, 269, 1358, 616, 2111, 547, 2253, 547, 5431, 602, 2362, 2338, 616, 8273, 2338, 543, 666, 1174, 2035, 899, 10203, 676, 1000, 657, 543, 9937, 269, 4635, 2228, 3756, 609, 891, 1453, 950, 789, 3914, 1101, 3446, 666, 948, 873, 5912, 1063, 4098, 2979, 1983, 543, 811, 1950, 10230, 2035, 269, 21278, 513, 2647, 3099, 540, 1114, 3756, 538, 606, 19278, 2228, 1604, 4991, 3214, 9599, 827, 21365, 1007, 2093, 543, 12662, 2979, 538, 513, 2318, 2796, 269, 4495, 519, 5748, 814, 1044, 9788, 585, 2596, 8223, 543, 12985, 1983, 267, 1453, 666, 946, 891, 3756, 547, 3356, 1256, 2417, 563, 2080, 616, 930, 824, 4687, 5396, 547, 2263, 281, 6875, 589, 3118, 15188, 910, 3905, 13365, 630, 3374, 829, 7484, 1070, 5144, 695, 1389, 630, 274, 270, 275, 7484, 540, 5144, 829, 21199, 264, 910, 875, 1454, 585, 476, 2918, 1004, 286, 19270, 1068, 910, 1729, 850, 339, 1957, 910, 476, 1015, 9212, 829, 1268, 267, 476, 1911, 9212, 829, 5066, 267, 476, 274, 476, 1822, 1004, 11504, 268, 875, 1082, 20061, 286, 13928, 17125, 614, 910, 476, 272, 7484, 540, 536, 4593, 7057, 1804, 2915, 267, 476, 274, 270, 275, 7484, 585, 5420, 2915, 3092, 910, 875, 1454, 585, 476, 1015, 2462, 267, 476, 276, 5420, 3092, 286, 808, 11481, 21167, 6735, 910, 8262, 20220, 3576, 476, 1321, 11435, 540, 21297, 10365, 910, 476, 14862, 10365, 538, 476, 272, 9126, 910, 875, 1082, 10365, 538, 2698, 286, 1452, 616, 513, 1390, 1259, 547, 2263, 513, 2039, 540, 2979, 1983, 269, 7994, 835, 1641, 543, 3442, 2055, 602, 9305, 547, 602, 269, 1323, 6654, 835, 568, 1153, 281, 2311, 19811, 3557, 3427, 972, 616, 476, 2537, 1053, 538, 15206, 267, 476, 2190, 538, 6103, 476, 272, 267, 476, 2537, 538, 6103, 476, 273, 267, 476, 1240, 538, 6103, 476, 274, 267, 476, 2420, 538, 6103, 476, 275, 267, 476, 1704, 538, 6103, 476, 276, 267, 476, 866, 538, 6103, 476, 277, 543, 476, 2420, 538, 6103, 476, 278, 269, 1215, 1082, 1053, 616, 972, 538, 519, 2898, 1153, 888, 26660, 949, 581, 513, 2370, 811, 7199, 267, 855, 1434, 3211, 786, 18663, 707, 1126, 547, 3132, 16517, 960, 602, 789, 666, 581, 10583, 540, 269, 1403, 596, 1616, 547, 1376, 8600, 707, 1126, 585, 9251, 267, 9656, 610, 1256, 21738, 1153, 267, 596, 991, 547, 1265, 9251, 3211, 602, 1683, 513, 3099, 540, 2238, 269, 17402, 267, 6746, 2329, 267, 2542, 267, 1603, 267, 5373, 267, 1514, 543, 2067, 9443, 616, 930, 540, 519, 2127, 602, 1453, 1063, 519, 6502, 540, 476, 274, 543, 476, 278, 666, 543, 1058, 1376, 1565, 827, 269, 6733, 585, 3099, 538, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1010, 2326, 547, 581, 602, 646, 666, 9337, 1367, 3817, 610, 1039, 1007, 3817, 607, 3728, 607, 646, 25395, 1007, 1919, 269, 1924, 972, 568, 513, 991, 547, 1683, 930, 1106, 540, 9337, 5103, 519, 1249, 602, 513, 7131, 268, 15375, 568, 1224, 26209, 269, 634, 4781, 540, 8876, 513, 7131, 268, 15375, 5856, 547, 5527, 568, 711, 10694, 267, 1317, 1603, 7131, 268, 15375, 781, 3340, 513, 5402, 6417, 1604, 269, 2659, 2816, 568, 547, 2097, 909, 609, 513, 10325, 602, 707, 3659, 666, 946, 602, 814, 519, 1739, 2934, 912, 7312, 2816, 568, 547, 5659, 519, 3510, 1759, 593, 1018, 596, 1018, 596, 723, 4121, 538, 476, 277, 269, 30033, 543, 922, 23944, 28987, 827, 519, 2622, 8862, 728, 5680, 267, 20803, 1949, 267, 543, 2489, 2780, 1062, 1374, 2152, 734, 7116, 983, 640, 267, 6988, 267, 543, 865, 8521, 269, 3973, 1020, 513, 2347, 1374, 602, 3032, 619, 547, 707, 3659, 781, 4170, 563, 763, 1374, 1788, 269, 1160, 2821, 513, 1374, 540, 1945, 630, 9767, 1205, 547, 6430, 1018, 264, 602, 31758, 519, 1966, 267, 1247, 693, 519, 1482, 942, 10962, 513, 5934, 540, 1007, 2042, 269, 1411, 798, 10691, 723, 547, 2936, 519, 1374, 563, 6524, 17259, 547, 519, 1374, 3942, 267, 596, 1058, 798, 930, 811, 2542, 912, 5194, 2009, 2707, 540, 1344, 568, 547, 1045, 5803, 1325, 3279, 966, 16695, 543, 1413, 585, 5680, 3817, 602, 723, 519, 2262, 834, 7374, 268, 15375, 257, 610, 834, 1636, 762, 257, 538, 873, 269, 10251, 267, 972, 616, 827, 476, 4335, 267, 1822, 971, 5680, 2985, 585, 1142, 540, 1346, 14511, 269, 1809, 6148, 596, 666, 2097, 909, 609, 513, 811, 5363, 13214, 269, 9497, 292, 5118, 1108, 257, 786, 1291, 596, 547, 930, 4241, 8631, 267, 855, 2094, 707, 3659, 568, 593, 519, 3056, 6316, 540, 2029, 596, 4440, 4465, 1405, 1265, 713, 1966, 2907, 12193, 972, 8094, 5278, 1919, 547, 1589, 827, 2483, 2467, 616, 693, 2547, 1614, 21739, 1114, 2081, 547, 1935, 713, 1966, 267, 1142, 609, 922, 1378, 26350, 543, 11393, 269, 898, 949, 581, 1360, 2352, 547, 4625, 3035, 782, 540, 519, 3601, 602, 596, 2015, 14909, 693, 519, 1482, 942, 269, 769, 1034, 1062, 6272, 267, 4123, 11325, 543, 14207, 568, 2838, 267, 865, 596, 723, 547, 6430, 875, 1271, 1142, 14909, 3959, 568, 538, 6935, 547, 519, 1866, 563, 7312, 1867, 269, 2659, 1957, 1058, 581, 476, 279, 547, 476, 1015, 3817, 538, 3259, 269, 1411, 1058, 1376, 676, 7713, 547, 707, 5497, 5304, 519, 4282, 540, 519, 1966, 538, 2474, 602, 5304, 666, 1174, 269, 8921, 267, 4766, 1018, 596, 723, 4956, 616, 14909, 3601, 540, 513, 3070, 269, 3973, 2285, 707, 3070, 543, 2491, 875, 1134, 621, 31267, 630, 528, 14543, 547, 3035, 264, 519, 14909, 3601, 269, 10801, 519, 1957, 596, 1058, 17854, 1142, 540, 707, 1374, 3664, 267, 2523, 538, 6935, 547, 4244, 3664, 602, 596, 1223, 723, 1500, 269, 1411, 786, 581, 811, 20310, 952, 596, 2161, 711, 1175, 1946, 707, 2856, 568, 1434, 267, 855, 1946, 621, 568, 1732, 982, 519, 8925, 269, 630, 2690, 1383, 267, 952, 1776, 1935, 1131, 2743, 782, 540, 519, 6859, 9985, 267, 855, 519, 1942, 1131, 581, 476, 1911, 2053, 2362, 267, 1287, 596, 1058, 2446, 602, 607, 513, 2601, 585, 7446, 707, 1447, 24932, 1968, 855, 14949, 1935, 8094, 2237, 585, 606, 5304, 9967, 540, 9164, 945, 3576, 476, 277, 269, 30033, 2947, 1296, 3516, 269, 2334, 568, 267, 789, 1174, 519, 5817, 1062, 267, 3060, 267, 543, 20803, 2035, 543, 723, 513, 4023, 2179, 540, 1995, 7311, 873, 538, 1585, 3871, 267, 855, 789, 723, 711, 2219, 5402, 827, 519, 1880, 1966, 596, 616, 7231, 609, 269, 27539, 602, 707, 1957, 786, 849, 581, 1031, 547, 18609, 707, 3659, 781, 2780, 575, 15843, 602, 596, 723, 519, 1318, 2856, 269, 7053, 267, 2285, 2614, 1469, 602, 646, 666, 2490, 519, 1788, 936, 547, 602, 575, 15843, 585, 6388, 609, 930, 6015, 602, 596, 4465, 1405, 14281, 676, 519, 1267, 563, 2691, 10442, 707, 1867, 267, 707, 14357, 786, 581, 3168, 693, 1312, 1543, 543, 1603, 563, 2791, 666, 1265, 824, 5363, 10372, 593, 1603, 713, 2186, 540, 1867, 538, 519, 631, 15660, 11053, 269, 5675, 5358, 781, 593, 11060, 3391, 547, 1603, 5071, 543, 3171, 553, 2225, 18614, 563, 4942, 848, 5565, 1603, 9270, 281, 1403, 596, 616, 19801, 538, 519, 476, 277, 269, 30033, 1603, 1316, 32337, 267, 596, 1810, 1405, 991, 547, 798, 4376, 2027, 282, 707, 1316, 32337, 14357, 786, 2491, 875, 519, 1867, 786, 1205, 596, 5491, 585, 519, 18001, 4083, 1603, 10421, 269, 1403, 596, 616, 711, 19801, 538, 519, 1316, 32337, 267, 6730, 596, 1616, 721, 547, 4464, 707, 1374, 1788, 1867, 547, 519, 1603, 1982, 607, 707, 5123, 4083, 1603, 1788, 267, 5225, 2161, 865, 593, 519, 3382, 2985, 267, 543, 1118, 2386, 602, 707, 1867, 568, 693, 2547, 476, 279, 3817, 1279, 269, 8074, 849, 602, 519, 1603, 1982, 814, 513, 4341, 602, 789, 786, 3398, 1152, 5359, 602, 7118, 513, 645, 610, 1732, 689, 519, 1362, 538, 799, 789, 22132, 269, 7053, 267, 581, 3222, 602, 519, 2034, 1374, 1788, 786, 4440, 581, 513, 2319, 1788, 267, 543, 3976, 1454, 811, 2352, 547, 20688, 547, 519, 2115, 540, 519, 1603, 1982, 982, 713, 835, 563, 30655, 566, 281, 901, 1788, 568, 606, 1367, 4674, 269, 1411, 616, 10950, 547, 1865, 519, 1966, 543, 2093, 585, 3070, 609, 707, 2828, 267, 855, 952, 596, 1331, 1022, 540, 741, 2093, 538, 707, 3070, 596, 1058, 12799, 2285, 873, 5491, 267, 543, 596, 1058, 581, 519, 6852, 2278, 540, 707, 1867, 563, 306, 3832, 7191, 281, 2659, 1867, 568, 1813, 538, 973, 2787, 13628, 267, 4728, 476, 736, 267, 476, 1960, 278, 269, 0, 1103, 2013, 594, 991, 547, 2161, 713, 267, 594, 3513, 979, 6619, 543, 1533, 519, 6654, 281, 14470, 568, 513, 1114, 1893, 982, 2296, 269, 2755, 602, 3948, 1522, 3142, 593, 606, 834, 2129, 267, 5918, 327, 257, 5114, 267, 1577, 781, 1491, 513, 1906, 3764, 1765, 3697, 267, 519, 14230, 540, 713, 5816, 2022, 23121, 4685, 513, 3787, 4514, 883, 519, 3604, 1063, 519, 1079, 4654, 267, 693, 2547, 950, 621, 2501, 547, 20803, 5389, 269, 901, 1522, 2097, 538, 13561, 607, 649, 3356, 609, 3695, 519, 1920, 4054, 540, 14470, 5027, 13292, 563, 296, 4312, 2196, 883, 513, 9621, 5027, 6474, 693, 3733, 15463, 5146, 267, 2576, 689, 12996, 4171, 3791, 1390, 3766, 8681, 18499, 949, 581, 519, 1482, 607, 1250, 16653, 328, 700, 2532, 22603, 781, 22594, 269, 769, 824, 1913, 267, 602, 5027, 6474, 543, 594, 1522, 581, 8772, 30980, 269, 8307, 1966, 281, 602, 6474, 781, 3529, 2982, 1346, 3791, 1390, 3766, 8681, 18499, 262, 4408, 538, 5824, 267, 2693, 1759, 593, 7826, 5939, 5638, 269, 1937, 572, 267, 741, 8250, 781, 30823, 523, 2012, 30147, 1058, 849, 581, 1250, 2034, 1390, 3766, 8681, 15948, 781, 21519, 1765, 3333, 3298, 607, 12896, 548, 23495, 345, 6759, 1233, 320, 267, 711, 12896, 548, 23495, 345, 267, 607, 594, 4312, 2907, 1336, 538, 5638, 563, 8489, 1705, 519, 910, 6759, 1233, 320, 2097, 538, 286, 1656, 1281, 602, 1118, 1022, 3017, 888, 18814, 547, 1585, 3604, 538, 2489, 1063, 14470, 543, 2296, 267, 4408, 1765, 3697, 824, 1913, 538, 14470, 1765, 339, 820, 593, 1110, 13294, 607, 513, 21879, 547, 519, 3597, 2262, 269, 2755, 972, 616, 1082, 2413, 14908, 1631, 3773, 547, 519, 2596, 2035, 602, 941, 6854, 1282, 519, 942, 540, 938, 11937, 267, 1577, 781, 1445, 593, 1346, 811, 2757, 2012, 1110, 13294, 267, 2094, 1346, 786, 581, 1018, 649, 1265, 607, 649, 6968, 585, 5638, 25643, 938, 11937, 538, 12996, 563, 16449, 824, 3252, 267, 1346, 1110, 13294, 666, 5815, 4008, 540, 519, 1268, 630, 528, 6221, 264, 1373, 5219, 547, 269, 634, 14724, 1383, 540, 713, 267, 950, 7234, 1147, 12849, 267, 568, 950, 519, 10678, 834, 328, 257, 538, 513, 21519, 568, 4957, 547, 834, 320, 257, 547, 3277, 547, 513, 4807, 269, 4935, 267, 607, 594, 5018, 19108, 267, 1250, 1390, 3766, 8681, 15289, 16653, 328, 700, 2532, 22603, 1131, 267, 607, 513, 812, 267, 7703, 513, 21519, 10678, 538, 834, 328, 257, 855, 1022, 796, 3405, 3072, 19946, 1131, 581, 5219, 547, 676, 519, 21519, 14842, 700, 2532, 3298, 6390, 563, 6546, 267, 2705, 267, 568, 519, 2653, 851, 269, 1403, 267, 538, 6643, 267, 513, 10584, 941, 13288, 547, 811, 982, 835, 1268, 538, 513, 1920, 1895, 267, 952, 602, 1895, 3769, 693, 2547, 835, 812, 267, 519, 1110, 8595, 1131, 581, 4957, 547, 946, 519, 24940, 12683, 21879, 269, 1280, 3236, 267, 16653, 328, 700, 2532, 22603, 781, 3003, 1920, 1895, 1131, 1631, 581, 5219, 547, 607, 700, 2532, 3298, 1097, 1247, 538, 2296, 649, 1131, 3274, 723, 5219, 547, 519, 700, 2532, 3298, 330, 529, 563, 2467, 781, 811, 269, 2913, 781, 2161, 16653, 328, 781, 11078, 3397, 5886, 3893, 1927, 609, 1200, 562, 19991, 20153, 773, 700, 2532, 3298, 6390, 585, 513, 17175, 12784, 856, 532, 269, 1280, 602, 700, 2532, 22603, 6690, 262, 1554, 856, 267, 1004, 1131, 3277, 547, 519, 2021, 609, 513, 21522, 12683, 10678, 267, 607, 700, 2532, 3298, 330, 773, 563, 2005, 2337, 547, 5431, 891, 21519, 7648, 950, 649, 1224, 5638, 267, 711, 1175, 547, 917, 875, 1082, 1004, 649, 616, 7234, 29932, 4010, 7247, 519, 1895, 3769, 28559, 547, 1174, 602, 1018, 4667, 899, 513, 10259, 32623, 1674, 568, 2731, 22942, 532, 519, 1482, 21519, 1247, 13031, 3877, 827, 519, 1895, 781, 17539, 563, 3719, 972, 781, 1869, 811, 269, 1656, 713, 568, 6251, 547, 938, 2243, 713, 3018, 269, 2755, 972, 616, 13561, 12125, 547, 17412, 1018, 594, 4312, 1175, 11329, 856, 267, 594, 1185, 547, 20801, 1524, 547, 5176, 519, 5377, 540, 713, 835, 2228, 4199, 547, 1265, 1250, 2626, 827, 519, 21519, 14583, 12896, 548, 23495, 345, 6759, 1233, 320, 563, 763, 21879, 910, 6759, 1233, 320, 18575, 513, 2027, 4528, 540, 519, 21522, 21519, 14583, 269, 1280, 713, 267, 649, 1586, 991, 513, 2656, 1353, 540, 14470, 269, 2755, 519, 21879, 910, 16305, 630, 528, 910, 1168, 320, 264, 18575, 513, 9310, 4807, 267, 952, 519, 21879, 568, 5594, 9168, 547, 1224, 910, 6759, 1233, 320, 267, 649, 616, 1631, 13288, 547, 606, 796, 3405, 3072, 4807, 269, 4935, 267, 1250, 5027, 6474, 781, 2034, 1390, 3766, 8681, 15948, 6869, 541, 2088, 630, 528, 267, 594, 14353, 267, 15576, 541, 345, 2106, 320, 264, 12896, 548, 23495, 345, 6759, 1233, 320, 1131, 1152, 581, 5219, 547, 609, 602, 21519, 1354, 1200, 7365, 269, 634, 21519, 12896, 548, 23495, 345, 6759, 1233, 320, 3976, 729, 711, 606, 7357, 1114, 21519, 267, 855, 3274, 519, 14470, 1259, 540, 3954, 7627, 602, 6869, 541, 2088, 729, 513, 1762, 267, 796, 3405, 3072, 4807, 269, 769, 824, 1913, 267, 1185, 1352, 5030, 538, 3013, 267, 1200, 30823, 523, 2012, 1131, 723, 3274, 1224, 12896, 548, 23495, 345, 563, 15987, 602, 949, 3100, 547, 581, 513, 17598, 7778, 267, 594, 9364, 1869, 899, 547, 1265, 602, 4528, 540, 1200, 2012, 6592, 538, 22257, 610, 5939, 5638, 538, 12996, 32737, 1134, 607, 606, 8446, 540, 1200, 3237, 543, 17609, 540, 741, 13664, 4087, 269, 2334, 786, 1831, 1250, 1985, 3408, 563, 17764, 7911, 269, 2334, 781, 513, 2603, 547, 3314, 8627, 11847, 569, 5719, 8541, 454, 2005, 568, 267, 7323, 8585, 787, 734, 520, 2547, 267, 585, 721, 2296, 18702, 3173, 269, 1809, 621, 1131, 723, 1044, 2034, 2470, 547, 938, 14470, 11937, 269, 3807, 1589, 540, 621, 607, 9284, 532, 6000, 1175, 513, 3787, 811, 883, 1018, 1272, 729, 899, 585, 873, 269, 5719, 8541, 0, 26045, 1072, 568, 513, 1898, 2460, 540, 938, 2698, 1072, 543, 8171, 269, 898, 568, 3989, 607, 513, 1533, 540, 8171, 538, 799, 606, 1808, 17358, 741, 1378, 19206, 267, 666, 11883, 609, 519, 3339, 17613, 540, 1272, 267, 666, 1599, 1587, 1947, 267, 543, 814, 519, 2702, 547, 1039, 547, 741, 2146, 269, 10076, 1072, 2152, 616, 4122, 588, 25634, 1242, 543, 16618, 267, 3056, 547, 513, 1713, 3310, 593, 519, 1283, 2298, 540, 1272, 585, 1346, 6766, 269, 769, 713, 2328, 5346, 267, 649, 786, 1865, 519, 2956, 540, 9301, 2790, 1072, 267, 5275, 2126, 267, 543, 1946, 649, 11129, 547, 782, 1416, 607, 513, 2486, 3823, 2790, 1072, 563, 1432, 568, 10076 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10554, 666, 849, 581, 851, 540, 513, 968, 935, 30084, 10624, 892, 1107, 621, 666, 4196, 607, 513, 1900, 538, 519, 9015, 1184, 563, 1432, 568, 12581, 7589, 538, 2069, 888, 26807, 2533, 616, 2139, 547, 1053, 4857, 607, 14718, 585, 2027, 2069, 945, 616, 796, 559, 831, 958, 5116, 676, 741, 3237, 610, 25330, 538, 4357, 3506, 998, 513, 5313, 10421, 1572, 4982, 3386, 30880, 630, 7968, 1916, 1432, 1281, 9698, 1611, 538, 2069, 888, 2108, 13420, 640, 892, 6212, 593, 2921, 1346, 3255, 4843, 547, 1053, 543, 1102, 6748, 873, 609, 1489, 543, 2200, 547, 2490, 519, 2069, 1062, 883, 513, 1377, 4730, 2361, 269, 901, 1797, 602, 27797, 1053, 786, 1205, 519, 1489, 789, 991, 547, 1831, 3160, 547, 1053, 945, 616, 711, 27797, 563, 3963, 568, 9698, 538, 2069, 1271, 888, 1103, 922, 1655, 1106, 267, 9698, 786, 5431, 1142, 2875, 693, 513, 5963, 30704, 1377, 267, 1247, 519, 1153, 1062, 3294, 786, 1683, 513, 5943, 543, 513, 1489, 3060, 269, 901, 2636, 519, 4116, 547, 5431, 519, 1367, 2115, 540, 1142, 2875, 543, 1459, 873, 609, 606, 3872, 1184, 602, 2636, 585, 741, 1967, 563, 1432, 1705, 645, 2075, 651, 1889, 9807, 899, 827, 2875, 21445, 19014, 888, 15703, 3344, 827, 2875, 21445, 19014, 4300, 4705, 547, 645, 2075, 651, 1889, 9807, 269, 1261, 17329, 519, 1249, 602, 519, 5539, 540, 519, 2385, 10554, 26520, 1141, 621, 1058, 2443, 609, 519, 2875, 269, 634, 4116, 16881, 519, 10554, 267, 855, 519, 2875, 568, 3743, 585, 16460, 2385, 2055, 543, 4145, 827, 2875, 1565, 563, 1432, 568, 2875, 3366, 10554, 888, 22923, 21445, 19014, 616, 6932, 607, 513, 1259, 547, 8362, 4497, 1053, 538, 741, 1565, 1184, 267, 5206, 18496, 717, 269, 27725, 10458, 267, 13930, 7548, 540, 3872, 5718, 543, 3609, 2090, 693, 19578, 3557, 2160, 538, 606, 18317, 2975, 6226, 652, 267, 968, 22923, 6441, 539, 4762, 3720, 693, 519, 5664, 5426, 1848, 563, 1692, 547, 1865, 2875, 3356, 609, 3237, 888, 3080, 6161, 540, 3237, 568, 602, 789, 1131, 899, 547, 723, 513, 6596, 4901, 609, 741, 1453, 779, 4116, 267, 543, 2875, 21445, 19014, 798, 711, 11863, 602, 547, 2049, 267, 27725, 10458, 1767, 269, 1677, 13918, 3237, 945, 7287, 606, 4316, 547, 27352, 1865, 741, 1126, 779, 3356, 267, 27725, 10458, 5267, 1896, 7399, 281, 476, 272, 14268, 666, 2824, 2901, 513, 2757, 2385, 14482, 12329, 10554, 610, 513, 2875, 21445, 10554, 269, 476, 273, 634, 2875, 3762, 693, 519, 3932, 540, 519, 2875, 21445, 10554, 267, 543, 519, 4116, 543, 3237, 2743, 27352, 269, 476, 274, 634, 2385, 543, 4116, 666, 8430, 606, 3606, 10554, 942, 563, 8005, 5206, 519, 1433, 968, 288, 3427, 8862, 728, 13979, 547, 9906, 6441, 539, 4762, 3720, 892, 888, 289, 2075, 651, 1889, 9807, 11339, 538, 519, 2062, 5320, 540, 513, 1433, 5063, 3370, 676, 519, 715, 5960, 288, 267, 589, 3427, 8862, 728, 13979, 547, 9906, 6441, 539, 4762, 3720, 267, 2854, 676, 623, 3430, 328, 20943, 2284, 267, 6307, 21861, 16189, 19172, 267, 543, 31656, 590, 32268, 563, 4692, 3237, 7390, 2385, 4116, 19014, 888, 29261, 666, 2824, 2901, 513, 2757, 2385, 14482, 12329, 10554, 610, 513, 2875, 21445, 10554, 269, 634, 2875, 3762, 693, 519, 3932, 540, 519, 2875, 21445, 10554, 267, 543, 519, 4116, 543, 3237, 2743, 27352, 269, 634, 2385, 543, 4116, 666, 8430, 606, 3606, 10554, 942, 563, 1692, 547, 1118, 513, 10554, 513, 1967, 888, 20055, 3237, 1118, 519, 10554, 513, 1967, 676, 7713, 875, 547, 5000, 519, 2875, 267, 2285, 16268, 5955, 543, 1018, 2186, 540, 6547, 616, 2693, 547, 18663, 2864, 982, 25339, 563, 1432, 1058, 1053, 1865, 693, 513, 2875, 3366, 10554, 888, 4263, 513, 9488, 2875, 21445, 10554, 267, 1053, 1058, 1865, 711, 1152, 741, 4081, 10781, 855, 849, 1514, 543, 3929, 3356, 269, 4934, 23164, 2110, 268, 543, 1279, 3856, 3853, 538, 1114, 2127, 666, 849, 957, 607, 513, 4665, 1807, 543, 948, 1305, 14541, 12201, 585, 519, 1985, 10554, 563, 1432, 568, 2875, 10704, 1565, 888, 1607, 1797, 4758, 1053, 811, 5191, 547, 1921, 4081, 1565, 547, 741, 1367, 4690, 543, 2104, 3853, 563, 1432, 568, 2385, 4116, 10554, 888, 21122, 14482, 12329, 19014, 1683, 3237, 609, 606, 9337, 827, 1126, 779, 2773, 267, 1247, 3610, 1205, 513, 4960, 547, 1865, 10781, 607, 1134, 607, 2591, 610, 4145, 827, 519, 1126, 269, 1809, 1247, 519, 19014, 31721, 1472, 519, 2875, 267, 789, 616, 711, 2016, 513, 10160, 693, 519, 3349, 269, 5753, 791, 520, 1304, 569, 7227, 693, 1753, 267, 11842, 1018, 779, 1373, 1767, 563, 3963, 568, 621, 1271, 547, 1291, 513, 2875, 3366, 10554, 888, 22923, 21445, 19014, 616, 513, 9735, 4316, 547, 948, 1453, 1020, 4105, 1272, 1983, 799, 5749, 1406, 2356, 8391, 2614, 3007, 1547, 31327, 513, 5870, 666, 948, 513, 2875, 2087, 741, 6015, 609, 1857, 6340, 267, 3919, 267, 1582, 26190, 543, 1279, 3856, 4058, 269, 5269, 2386, 547, 5000, 519, 2875, 607, 789, 616, 8600, 543, 1683, 1864, 609, 2645, 547, 891, 1983, 585, 968, 9418, 1158, 892, 1967, 563, 1432, 568, 519, 3017, 1063, 513, 2757, 10554, 543, 513, 2875, 21445, 10554, 888, 763, 1292, 3017, 1063, 2757, 19014, 543, 2875, 21445, 19014, 568, 519, 1249, 602, 2875, 21445, 19014, 1683, 1053, 609, 968, 320, 10160, 693, 519, 3349, 1848, 563, 1432, 568, 2875, 3366, 10554, 888, 22923, 21445, 19014, 2099, 519, 968, 30700, 19721, 1565, 892, 1935, 547, 18375, 269, 1924, 875, 1281, 713, 1935, 948, 519, 1053, 286, 4340, 547, 3933, 3821, 6742, 710, 345, 267, 606, 2069, 2054, 626, 267, 2875, 21445, 19014, 666, 4196, 607, 513, 3532, 1907, 585, 5355, 1053, 685, 6278, 609, 741, 1565, 1184, 563, 1432, 568, 513, 2875, 4116, 10554, 888, 1432, 616, 9906, 268, 30108, 4762, 3720, 286, 9906, 268, 30108, 4762, 3720, 616, 513, 835, 6823, 14633, 8468, 602, 2636, 1312, 519, 2875, 543, 4116, 547, 20102, 1865, 741, 4145, 267, 5955, 543, 3853, 269, 634, 8653, 666, 4268, 689, 513, 2110, 5870, 630, 274, 268, 276, 3764, 264, 547, 513, 3476, 5870, 630, 276, 268, 1428, 3764, 1070, 4470, 593, 519, 2798, 602, 991, 547, 581, 9619, 563, 1432, 568, 519, 3483, 540, 513, 10554, 888, 308, 2955, 602, 519, 3483, 540, 519, 10554, 568, 547, 2327, 602, 621, 568, 20102, 30364, 1312, 585, 519, 2875, 543, 4116, 269, 17372, 476, 272, 268, 273, 1808, 2042, 799, 519, 2875, 666, 960, 593, 543, 1683, 519, 2838, 5583, 269, 2382, 650, 519, 2875, 609, 6015, 543, 5000, 873, 547, 8275, 741, 1378, 1582, 2914, 2180, 543, 5759, 563, 1432, 1281, 513, 4116, 798, 547, 948, 1053, 888, 763, 4116, 666, 1305, 2312, 6788, 543, 3853, 585, 519, 2875, 269, 634, 4116, 12374, 5955, 689, 519, 1053, 269, 634, 4116, 12374, 513, 1732, 1620, 540, 1142, 2875, 543, 568, 2111, 547, 1445, 593, 519, 2127, 602, 991, 811, 6351, 269, 634, 4116, 9727, 1585, 25191, 1353, 2994, 547, 4217, 609, 1565, 563, 1692, 1684, 9906, 6441, 539, 4762, 3720, 630, 306, 9448, 338, 264, 4518, 888, 15987, 519, 3898, 949, 4268, 267, 891, 19014, 8428, 689, 2757, 19014, 538, 602, 789, 1747, 1053, 693, 519, 26958, 540, 4116, 23418, 9285, 5717, 609, 3237, 827, 2875, 3356, 543, 1565, 563, 8196, 995, 9669, 267, 20929, 267, 6744, 29812, 267, 543, 28826, 454, 22923, 6441, 539, 4762, 3720, 3245, 7647, 2880, 281, 1411, 3580, 1265, 513, 1297, 540, 2200, 538, 713, 5816, 2022, 676, 1647, 9344, 19829, 3627, 1546, 303, 553, 638, 1446, 267, 1519, 513, 7014, 547, 2671, 609, 3885, 1991, 547, 19014, 269, 901, 568, 513, 1246, 5346, 2022, 547, 10026, 4116, 918, 337, 4593, 807, 16410, 1537, 779, 3126, 593, 2875, 21445, 19014, 7041, 543, 3498, 563, 12606, 338, 543, 6201, 3245, 12140, 2334, 4518, 454, 10743, 693, 2160, 5244, 28941, 3427, 538, 1937, 31569, 267, 12590, 267, 1332, 883, 741, 1379, 543, 1761, 998, 2875, 21445, 11401, 269, 13772, 22089, 689, 891, 11401, 267, 5873, 4030, 689, 7855, 267, 543, 1287, 2263, 519, 1739, 1153, 2645, 912, 3963, 616, 4116, 2875, 19014, 1271, 888, 30108, 24713, 550, 19014, 666, 581, 6225, 547, 1312, 596, 543, 707, 1053, 269, 1358, 2285, 596, 519, 4316, 547, 1294, 1141, 1142, 540, 707, 1053, 616, 8236, 543, 10010, 563, 1432, 2055, 547, 2307, 1282, 513, 10554, 888, 16248, 5999, 547, 9105, 4438, 519, 4762, 3720, 476, 272, 1548, 723, 596, 2944, 1134, 547, 5734, 519, 1565, 9072, 649, 616, 2324, 593, 286, 476, 273, 1548, 10616, 616, 1869, 9648, 602, 616, 5329, 596, 689, 18644, 519, 1565, 9072, 286, 476, 274, 1684, 596, 723, 519, 1344, 596, 991, 547, 5734, 519, 1565, 9072, 888, 4692, 19014, 581, 2110, 888, 763, 19014, 666, 581, 607, 1279, 610, 2110, 607, 596, 1616, 543, 991, 873, 547, 581, 1547, 1403, 596, 1439, 909, 609, 711, 607, 1454, 942, 607, 596, 2219, 596, 949, 723, 267, 2743, 609, 1053, 538, 2516, 3079, 540, 14350, 269, 1452, 19014, 666, 581, 8465, 269, 3171, 1155, 12005, 281, 4563, 4580, 563, 3963, 568, 621, 1271, 547, 723, 513, 3483, 585, 513, 10554, 888, 6826, 2386, 547, 723, 513, 1808, 3483, 585, 707, 10554, 269, 6787, 596, 991, 547, 1305, 3853, 609, 707, 1053, 610, 547, 4001, 519, 2875, 513, 1880, 5578, 267, 4259, 513, 3483, 568, 1898, 269, 901, 3947, 519, 4116, 606, 4316, 547, 32004, 1565, 543, 1053, 616, 2111, 547, 2743, 12492, 762, 543, 2123, 3853, 269, 476, 273, 563, 1432, 568, 519, 19829, 4055, 888, 763, 3447, 1807, 779, 18740, 568, 513, 3232, 3896, 6131, 547, 6029, 602, 3610, 616, 519, 4966, 538, 2069, 269, 1403, 596, 616, 5461, 538, 26446, 513, 4062, 585, 8313, 267, 5225, 6494, 513, 8908, 547, 18078, 17106, 11333, 3820, 563, 1432, 4523, 952, 513, 2875, 3085, 1406, 1745, 789, 666, 1118, 9073, 888, 2252, 513, 2875, 1281, 711, 1745, 607, 1498, 789, 666, 1118, 9073, 267, 789, 786, 3622, 9505, 16365, 543, 2285, 909, 610, 1205, 27209, 269, 3427, 568, 1634, 607, 519, 4025, 585, 17514, 1510, 519, 20507, 269, 901, 568, 519, 835, 1747, 1053, 616, 2016, 606, 4316, 585, 513, 798, 27492, 610, 2789, 798, 268, 13569, 267, 952, 2877, 563, 4692, 1053, 1294, 875, 741, 15032, 616, 1210, 741, 4845, 20297, 888, 7212, 519, 1053, 616, 538, 519, 1482, 1895, 267, 789, 949, 581, 2111, 547, 1294, 875, 741, 15032, 616, 1210, 741, 4845, 20297, 543, 4217, 835, 1776, 609, 9301, 543, 936, 268, 5765, 713, 1565, 7455, 269, 1403, 1053, 616, 17596, 811, 1367, 3007, 267, 1287, 1305, 11735, 942, 547, 2743, 609, 1053, 835, 6823, 14633, 563, 4692, 596, 2743, 609, 1053, 14350, 538, 513, 10554, 888, 2467, 616, 2053, 950, 19014, 1289, 585, 596, 547, 2743, 609, 1053, 14350, 1247, 824, 2053, 1450, 585, 1895, 19014, 269, 1403, 596, 723, 1896, 1053, 10010, 609, 1603, 1210, 1585, 4845, 20297, 267, 2743, 609, 519, 1895, 693, 2899, 563, 1692, 1684, 9906, 6441, 539, 4762, 3720, 4518, 888, 1015, 2353, 6874, 830, 7454, 13756, 1280, 9906, 6441, 539, 4762, 3720, 454, 268, 476, 272, 269, 4643, 6619, 543, 4786, 856, 519, 3268, 454, 10214, 952, 519, 5304, 1152, 5161, 540, 513, 2385, 543, 513, 4116, 267, 519, 6881, 3294, 1522, 581, 17173, 585, 519, 2875, 269, 634, 1883, 568, 547, 1118, 2386, 1453, 616, 2016, 2614, 942, 547, 5965, 543, 8840, 1524, 519, 1184, 883, 19242, 3268, 269, 2913, 1053, 1376, 735, 4979, 741, 2823, 31987, 6693, 268, 476, 273, 269, 5213, 1406, 4413, 1271, 1565, 8090, 454, 22923, 21445, 19014, 616, 513, 9735, 4316, 547, 948, 1453, 1020, 4105, 1272, 1983, 799, 5749, 1406, 2356, 8391, 2614, 3007, 269, 31327, 513, 5870, 666, 948, 513, 2875, 2087, 741, 6015, 609, 1857, 6340, 267, 3919, 267, 1582, 26190, 543, 1279, 3856, 4058, 269, 5269, 1147, 7498, 13729, 5455, 1411, 9906, 6441, 539, 10985, 454, 27645, 12180, 741, 19014, 593, 4147, 30357, 4688, 513, 1390, 4308, 540, 3407, 942, 593, 782, 519, 1394, 7146, 16519, 628, 543, 1205, 5863, 2385, 7589, 5976, 5100, 23106, 269, 1403, 596, 10093, 1406, 8268, 12180, 707, 19014, 609, 4147, 30357, 267, 1934, 875, 596, 666, 1305, 909, 2875, 21445, 19014, 609, 2789, 3885, 11504, 693, 519, 1482, 942, 281, 476, 272, 269, 8073, 513, 1007, 2680, 476, 273, 269, 5410, 942, 13668, 9087, 7498, 8196, 995, 8249, 1280, 5029, 1944, 9906, 6441, 539, 4762, 3720, 454, 20486, 589, 3427, 8862, 728, 13979, 547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 15260, 612, 20512, 454, 8110, 845, 606, 18751, 3408, 454, 288, 476, 278, 4458, 6040, 8004, 8813, 538, 519, 6288, 543, 2771, 1622, 519, 5945, 13269, 538, 7612, 589, 543, 645, 269, 634, 1034, 4122, 4767, 8229, 5945, 1131, 1267, 538, 22907, 538, 799, 540, 519, 1739, 6091, 888, 15761, 16428, 2007, 3218, 636, 1209, 529, 454, 15761, 16428, 1135, 997, 529, 1279, 639, 454, 293, 2716, 528, 1135, 997, 529, 1279, 639, 454, 2304, 476, 279, 4458, 6040, 5256, 13455, 519, 5945, 3254, 538, 22955, 589, 5174, 269, 2201, 2168, 6514, 267, 646, 568, 1336, 547, 723, 513, 8229, 17211, 269, 6904, 540, 519, 1739, 568, 519, 1034, 2693, 8229, 17211, 543, 875, 1058, 519, 8229, 5945, 581, 7307, 1310, 519, 17795, 814, 1044, 4389, 543, 11689, 1242, 888, 2304, 10262, 954, 657, 572, 748, 8229, 630, 288, 2562, 5148, 8343, 454, 8469, 1014, 8229, 282, 8343, 454, 8469, 1014, 8229, 282, 5778, 569, 3974, 454, 308, 15238, 541, 8229, 282, 8343, 454, 288, 476, 278, 4458, 6040, 8004, 6799, 547, 519, 6595, 4055, 1310, 513, 2887, 609, 1318, 6186, 1928, 269, 2701, 814, 2407, 5179, 543, 10444, 1599, 269, 4173, 11263, 616, 3636, 543, 11909, 609, 513, 31479, 1201, 650, 2999, 274, 7643, 267, 543, 1352, 568, 7074, 547, 723, 3235, 577, 2096, 2670, 538, 1200, 24970, 31957, 1388, 6522, 320, 269, 30521, 21106, 616, 2938, 538, 22955, 589, 543, 645, 269, 1548, 568, 519, 1034, 3617, 2359, 1544, 888, 5141, 2216, 5786, 267, 1279, 6186, 16213, 267, 543, 11166, 1753, 454, 5141, 2216, 5786, 267, 1279, 6186, 16213, 267, 543, 16075, 585, 513, 476, 2190, 16923, 8343, 454, 5141, 2216, 5786, 267, 829, 12827, 10389, 8930, 30651, 267, 543, 11166, 1753, 454, 5141, 2216, 5786, 267, 829, 12827, 10389, 8930, 30651, 267, 543, 16075, 585, 12091, 25086, 454, 15411, 5786, 609, 2909, 577, 658, 16050, 3408, 543, 16075, 585, 8343, 454, 288, 1762, 1126, 8813, 1282, 27590, 10415, 2259, 543, 2771, 1622, 519, 9678, 5945, 3254, 538, 7612, 589, 269, 2701, 568, 15861, 547, 6413, 585, 6391, 269, 634, 9860, 540, 799, 28658, 568, 2799, 609, 713, 5945, 4806, 888, 288, 476, 277, 4458, 6040, 2771, 1622, 519, 5945, 3254, 538, 22955, 589, 543, 645, 269, 634, 8229, 1034, 4122, 4299, 676, 713, 17795, 4806, 7961, 969, 919, 799, 540, 519, 1739, 5179, 2516, 888, 4504, 337, 1231, 923, 540, 519, 1688, 454, 1320, 3518, 7379, 4827, 528, 454, 288, 476, 278, 4458, 6040, 2771, 1622, 519, 9678, 5945, 3254, 538, 22955, 589, 543, 645, 269, 2201, 2168, 6514, 972, 568, 1100, 2963, 540, 2571, 5160, 14207, 543, 646, 568, 2111, 547, 1118, 606, 15502, 1129, 267, 2285, 513, 555, 29304, 909, 1129, 543, 3444, 1010, 11263, 269, 6904, 2126, 786, 7413, 8374, 888, 5141, 2216, 5786, 609, 16213, 538, 3436, 476, 3445, 5232, 540, 4827, 542, 454, 5141, 2216, 5786, 609, 16213, 693, 476, 3445, 5232, 540, 4827, 542, 454, 5141, 2216, 5786, 543, 513, 829, 12827, 10389, 8930, 940, 4020, 1210, 2663, 958, 1759, 20382, 454, 5141, 2216, 5786, 543, 513, 829, 12827, 10389, 8930, 940, 4020, 1210, 18084, 20382, 454, 288, 476, 277, 4458, 6040, 6799, 609, 606, 23969, 22775, 640, 1310, 9991, 689, 519, 24564, 13063, 269, 634, 2960, 568, 16856, 543, 1100, 2963, 540, 533, 3089, 1359, 568, 2938, 269, 634, 3461, 568, 5778, 341, 6018, 569, 16856, 269, 11724, 894, 10237, 21106, 540, 519, 5945, 616, 3254, 538, 22955, 589, 543, 645, 269, 1548, 568, 519, 6099, 3355, 2126, 585, 713, 5945, 1759, 593, 519, 21191, 5308, 4808, 888, 27650, 1930, 5786, 543, 4835, 30651, 454, 5141, 2216, 5786, 609, 31443, 543, 14694, 18084, 20382, 454, 5141, 2216, 5786, 609, 1079, 610, 1614, 14694, 20382, 454, 8993, 999, 589, 998, 661, 616, 5945, 10237, 21106, 540, 23969, 7063, 538, 1453, 269, 589, 1126, 5360, 1622, 540, 8519, 14815, 936, 519, 1507, 9416, 8650, 569, 1310, 606, 23969, 5945, 269, 6904, 540, 519, 1739, 10237, 21106, 568, 5812, 609, 1010, 5945, 888, 16729, 3811, 1766, 894, 2126, 267, 6296, 8851, 540, 8800, 568, 5227, 693, 476, 274, 268, 275, 4374, 585, 799, 540, 519, 1739, 5773, 888, 288, 476, 278, 4458, 6040, 3461, 6799, 609, 513, 17795, 540, 1200, 2451, 24101, 571, 1718, 2643, 541, 1208, 518, 639, 543, 30218, 8953, 607, 23576, 538, 7612, 589, 269, 2701, 568, 5778, 341, 6018, 569, 16856, 543, 519, 2960, 2982, 1100, 2963, 540, 1930, 16398, 269, 30521, 21106, 540, 519, 23969, 1397, 513, 19774, 24101, 571, 1718, 2643, 541, 17795, 269, 30521, 21106, 540, 519, 21015, 1397, 606, 3063, 19603, 7781, 30218, 8953, 17795, 609, 476, 1839, 5232, 540, 24725, 2587, 1637, 269, 901, 5945, 568, 1034, 14013, 5701, 609, 799, 540, 519, 1739, 888, 5141, 2216, 5786, 543, 16213, 540, 519, 24101, 571, 1718, 2643, 541, 1208, 518, 639, 17795, 543, 30218, 8953, 17795, 454, 5141, 2216, 5786, 543, 8930, 940, 540, 1312, 519, 24101, 571, 1718, 2643, 541, 1208, 518, 639, 17795, 543, 30218, 8953, 17795, 454, 5141, 2216, 5786, 543, 16213, 540, 519, 24101, 571, 1718, 2643, 541, 1208, 518, 639, 17795, 543, 8930, 940, 540, 30218, 8953, 17795, 454, 15411, 5786, 543, 8930, 940, 540, 1312, 519, 24101, 571, 1718, 2643, 541, 1208, 518, 639, 543, 519, 30218, 8953, 17795, 454, 5141, 2216, 5786, 543, 8930, 940, 540, 519, 24101, 571, 1718, 2643, 541, 1208, 518, 639, 17795, 543, 6806, 5786, 543, 16213, 540, 30218, 8953, 17795, 454, 288, 476, 280, 4458, 6040, 1922, 24580, 6799, 609, 1200, 3237, 945, 723, 4145, 3823, 519, 5920, 540, 1200, 23969, 630, 8201, 589, 1040, 4173, 2250, 2564, 1686, 568, 1713, 585, 513, 24101, 571, 1718, 2643, 541, 17795, 5701, 538, 513, 5641, 950, 607, 513, 7820, 1126, 269, 2701, 814, 1100, 1928, 609, 5163, 543, 814, 476, 271, 547, 476, 6344, 5232, 2039, 540, 5163, 269, 2701, 1281, 711, 723, 6198, 7687, 855, 1200, 3237, 1131, 899, 547, 2087, 519, 5920, 540, 1200, 23969, 269, 6904, 540, 519, 1739, 5773, 786, 2953, 519, 7750, 7978, 15254, 639, 855, 949, 1267, 538, 513, 14694, 23146, 888, 305, 27654, 966, 27777, 30315, 454, 8469, 658, 6679, 2914, 8354, 11560, 30315, 609, 31443, 1436, 540, 519, 30218, 23650, 454, 299, 8632, 14656, 2914, 8354, 11560, 30315, 454, 7617, 540, 519, 1739, 23969, 3284, 19398, 525, 568, 519, 2063, 547, 25146, 1282, 2208, 888, 2750, 4156, 630, 331, 8632, 264, 12473, 1180, 1803, 454, 1103, 4156, 630, 4364, 658, 264, 12473, 1180, 1803, 454, 288, 1126, 8813, 1055, 540, 519, 24564, 13063, 693, 1153, 543, 2771, 1622, 519, 2451, 23969, 5945, 3254, 538, 7612, 589, 269, 1548, 568, 513, 19319, 540, 519, 30651, 4020, 3254, 538, 7612, 645, 3379, 547, 7612, 595, 585, 713, 5945, 4806, 888, 27832, 27354, 22817, 6617, 454, 295, 27941, 11841, 540, 26654, 6794, 454, 295, 27941, 4960, 540, 11560, 3912, 601, 4345, 454, 295, 27941, 1981, 540, 1775, 520, 4088, 545, 5945, 547, 519, 12804, 333, 541, 8229, 454, 295, 27941, 1981, 540, 1775, 520, 4088, 545, 5945, 547, 519, 18751, 954, 657, 572, 748, 8229, 454, 288, 476, 276, 4458, 6040, 7911, 13455, 606, 23969, 5945, 269, 22410, 538, 519, 6595, 8257, 8761, 602, 646, 568, 8572, 547, 4827, 519, 954, 13921, 1052, 531, 4745, 540, 1010, 14853, 543, 519, 30218, 954, 13921, 1052, 531, 4745, 540, 1010, 4994, 9416, 269, 634, 24293, 13942, 568, 27621, 762, 693, 519, 21015, 267, 543, 14815, 568, 3339, 2429, 519, 1688, 269, 30521, 21106, 616, 3254, 538, 22955, 476, 277, 320, 543, 476, 277, 321, 269, 769, 1840, 547, 5786, 543, 8930, 940, 540, 519, 17795, 267, 3355, 2126, 1058, 1331, 454, 10517, 1515, 540, 519, 17911, 954, 657, 572, 748, 8229, 563, 10517, 1515, 540, 519, 11667, 8229, 693, 519, 23969, 563, 928, 1755, 569, 3974, 540, 519, 18751, 954, 657, 572, 748, 8229, 563, 10849, 3569, 540, 519, 8229, 25097, 344, 563, 9404, 18957, 30402, 344, 2762, 543, 8229, 26634, 6991, 2090, 563, 288, 476, 278, 4458, 6040, 7911, 8813, 1055, 519, 19209, 543, 2771, 1622, 519, 5945, 3254, 538, 4137, 589, 269, 1548, 5179, 17211, 568, 2404, 609, 519, 8229, 1034, 4122, 13676, 538, 713, 17795, 4806, 888, 2171, 752, 1145, 540, 519, 4827, 528, 2007, 3218, 636, 1527, 1495, 639, 547, 519, 4994, 9416, 454, 2171, 752, 1145, 540, 519, 970, 16428, 1135, 997, 529, 1279, 639, 454, 2171, 752, 1145, 540, 519, 4827, 528, 1135, 997, 529, 1279, 639, 454, 21652, 17271, 8467, 454, 1432, 568, 519, 5413, 540, 31443, 543, 14694, 18084, 20382, 3379, 547, 1079, 14694, 20382, 538, 519, 2126, 540, 24101, 571, 1718, 2643, 541, 1208, 518, 639, 18655, 888, 15124, 518, 10700, 4791, 9095, 540, 23969, 5163, 454, 299, 1077, 14469, 2557, 454, 299, 1077, 11841, 540, 12804, 333, 541, 8229, 5945, 454, 15124, 518, 8097, 27354, 22817, 6617, 454, 5415, 20133, 5669, 17795, 5786, 454, 1432, 568, 519, 1696, 5735, 540, 7750, 7978, 15254, 639, 1739, 513, 24101, 571, 1718, 2643, 541, 1208, 518, 639, 17795, 538, 513, 1126, 888, 7021, 29115, 540, 519, 14694, 1610, 529, 454, 22416, 516, 9134, 540, 519, 17795, 454, 294, 9512, 10654, 540, 31443, 1610, 529, 454, 1103, 329, 1722, 547, 519, 12804, 333, 541, 8229, 454, 20238, 658, 2212, 20247, 6327, 454, 288, 476, 1015, 4458, 6040, 7911, 13455, 519, 5945, 3254, 538, 4137, 589, 1247, 17259, 1055, 513, 911, 5404, 13238, 269, 3571, 1688, 568, 5102, 1088, 612, 543, 4411, 269, 1548, 568, 519, 1985, 1900, 538, 2359, 888, 299, 5366, 1922, 9231, 10943, 842, 3498, 543, 15260, 612, 538, 476, 272, 5662, 454, 28770, 7217, 6806, 5786, 543, 8930, 30651, 454, 15411, 15466, 3408, 454, 20288, 1301, 20258, 20086, 8930, 454, 763, 1034, 1455, 8229, 13676, 538, 519, 17795, 3254, 538, 7612, 589, 7961, 969, 919, 782, 540, 519, 1739, 6091, 12327, 4753, 8976, 888, 325, 2716, 528, 2007, 3218, 636, 1527, 1495, 639, 4994, 9416, 454, 325, 2716, 528, 2007, 3218, 636, 1527, 1495, 639, 1647, 9416, 454, 325, 2716, 528, 1135, 997, 529, 1279, 639, 454, 2169, 16428, 1135, 997, 529, 1279, 639, 454, 288, 476, 276, 4458, 6040, 7911, 2771, 1622, 513, 1826, 4083, 630, 294, 691, 1633, 8760, 264, 24101, 571, 1718, 2643, 541, 17795, 799, 568, 5701, 609, 5641, 1799, 984, 16478, 269, 23046, 2164, 538, 513, 7646, 7784, 18450, 22775, 640, 269, 13880, 673, 2126, 540, 713, 786, 1034, 2693, 1267, 538, 912, 574, 2889, 1386, 6198, 6364, 454, 574, 2889, 1386, 1928, 8323, 454, 574, 2889, 1386, 2039, 540, 5163, 454, 516, 706, 576, 1875, 10595, 542, 3928, 454, 288, 476, 279, 4458, 6040, 7911, 814, 513, 7750, 7978, 15254, 639, 22775, 640, 540, 1010, 2451, 23969, 1310, 513, 24101, 571, 1718, 2643, 541, 1208, 518, 639, 17795, 729, 5701, 538, 513, 10943, 842, 269, 1548, 568, 519, 1034, 1455, 2014, 540, 713, 22775, 640, 888, 22416, 516, 9134, 4929, 4731, 684, 542, 454, 8469, 658, 12473, 1180, 1803, 2208, 10654, 454, 299, 8632, 7873, 1803, 936, 29115, 454, 8469, 658, 12473, 1180, 1803, 1285, 6018, 27394, 15727, 454, 4462, 13440, 1758, 1242, 26654, 6794 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 292, 6614, 593, 519, 645, 18847, 7412, 281, 8431, 1005, 4934, 519, 2622, 540, 22955, 454, 7804, 1323, 559, 30340, 320, 781, 1655, 18522, 1433, 4936, 1424, 519, 18696, 16847, 4988, 1896, 1271, 3344, 540, 8804, 2359, 269, 16685, 593, 519, 645, 18847, 7412, 568, 606, 3801, 547, 1331, 811, 2127, 799, 616, 2565, 585, 513, 1870, 8227, 610, 9614, 547, 1174, 538, 1931, 547, 3635, 1732, 1852, 936, 519, 5515, 602, 513, 1870, 12958, 269, 28150, 513, 4514, 5813, 883, 1818, 543, 2542, 18696, 25420, 543, 22418, 10046, 32276, 269, 6258, 875, 547, 6218, 2883, 5359, 1210, 22472, 543, 8750, 338, 10046, 1323, 26087, 525, 269, 3367, 713, 1433, 547, 1205, 513, 12550, 2070, 540, 519, 3498, 540, 519, 3741, 540, 8804, 2359, 547, 519, 4881, 540, 513, 4182, 267, 6006, 2344, 10115, 543, 1946, 649, 1590, 2628, 9204, 269, 2353, 540, 621, 2854, 538, 513, 1259, 602, 666, 581, 6956, 676, 4896, 269, 0, 19575, 571, 3491, 947, 539, 1426, 4616, 4679, 595, 13748, 1981, 454, 10521, 1804, 3864, 20165, 2090, 267, 3370, 5063, 538, 519, 22720, 297, 267, 723, 3254, 602, 519, 4616, 540, 16600, 3491, 947, 539, 3536, 568, 2404, 609, 606, 2799, 1981, 540, 9025, 2068, 630, 290, 13748, 264, 543, 782, 2275, 1021, 9019, 563, 19575, 571, 3491, 947, 539, 1426, 4016, 547, 1426, 543, 4235, 6878, 602, 723, 1044, 998, 8101, 2872, 14842, 609, 3114, 29089, 2510, 267, 7657, 2293, 267, 900, 6160, 13294, 543, 824, 21187, 547, 2087, 741, 6492, 543, 1118, 873, 2063, 3476, 269, 1358, 1331, 281, 9268, 5779, 267, 2527, 1790, 22004, 3694, 267, 14735, 267, 23611, 13063, 267, 24494, 535, 714, 5414, 10425, 543, 10217, 267, 585, 1383, 563, 763, 17053, 20165, 1353, 676, 22656, 4211, 2086, 14504, 1696, 620, 4951, 602, 5171, 538, 519, 5207, 10116, 540, 16600, 3491, 947, 539, 1426, 4616, 630, 285, 275, 13980, 513, 1554, 264, 1185, 513, 476, 7830, 260, 2362, 782, 2275, 1021, 9019, 1981, 982, 1346, 5171, 10438, 1447, 982, 1079, 13980, 829, 1554, 563, 763, 824, 1353, 267, 676, 590, 709, 337, 1696, 620, 267, 12290, 519, 8192, 6981, 540, 476, 10755, 476, 14689, 5171, 9907, 21759, 1240, 1296, 538, 5333, 1063, 476, 1220, 280, 268, 1240, 269, 2405, 1014, 1246, 5346, 729, 476, 276, 269, 273, 1296, 267, 609, 2164, 6029, 513, 1713, 7681, 1063, 606, 6207, 476, 1015, 260, 2333, 538, 4616, 540, 16600, 3491, 947, 539, 1426, 543, 595, 13748, 1981, 630, 327, 1794, 731, 5223, 1496, 16281, 316, 476, 272, 269, 1321, 282, 16275, 476, 272, 269, 4962, 1700, 272, 269, 736, 282, 533, 283, 271, 269, 9826, 1070, 18337, 2295, 2068, 1981, 630, 16281, 476, 272, 269, 1724, 282, 16275, 476, 272, 269, 6349, 1700, 272, 269, 2190, 282, 533, 284, 271, 269, 6349, 264, 543, 6147, 15842, 341, 6018, 2068, 1981, 630, 16281, 476, 272, 269, 1556, 282, 16275, 476, 272, 269, 4905, 1700, 272, 269, 2641, 282, 533, 284, 271, 269, 6349, 1040, 4438, 519, 1353, 267, 595, 13748, 3928, 941, 476, 28071, 829, 476, 1911, 476, 1822, 538, 5171, 10438, 519, 5207, 2157, 540, 16600, 3491, 947, 539, 1426, 267, 3379, 609, 476, 26237, 829, 476, 1911, 476, 1822, 538, 1346, 10438, 519, 9803, 2157, 563, 4002, 741, 2164, 267, 4589, 540, 519, 22656, 4211, 2086, 14504, 1696, 620, 1353, 1767, 281, 2048, 11577, 15758, 519, 4616, 540, 16600, 3491, 947, 539, 3536, 282, 13389, 2472, 267, 21259, 267, 543, 6725, 9993, 593, 16600, 3491, 947, 539, 2472, 282, 543, 13319, 540, 4195, 610, 30194, 9268, 3536, 267, 1058, 581, 2808, 851, 540, 1271, 1072, 3609, 547, 2087, 2518, 1857, 1072, 19028, 27396, 1218, 602, 10057, 2362, 2157, 540, 16600, 3491, 947, 539, 1426, 941, 849, 811, 2693, 547, 723, 2799, 3928, 540, 14432, 19326, 267, 971, 607, 7296, 267, 609, 3173, 12394, 547, 2272, 585, 891, 1476, 15929, 2188, 269, 0, 1103, 476, 3707, 277, 267, 930, 25308, 21360, 12696, 3323, 1210, 9258, 23015, 2670, 547, 4894, 1216, 689, 18682, 1354, 519, 18682, 568, 23017, 1524, 547, 21360, 269, 634, 946, 540, 9258, 23015, 2670, 2636, 827, 476, 4037, 1700, 3445, 260, 540, 519, 1216, 547, 581, 6569, 689, 519, 18682, 267, 4227, 1648, 4616, 543, 4598, 540, 519, 21360, 547, 1164, 5210, 269, 19287, 658, 12526, 543, 12159, 540, 519, 17011, 1590, 581, 16913, 563, 305, 18123, 31203, 281, 2368, 15780, 2959, 2270, 2234, 1756, 267, 513, 14599, 3114, 3693, 269, 30003, 2959, 1331, 1082, 15780, 2959, 5087, 540, 519, 13325, 5211, 538, 13325, 267, 2136, 2276, 540, 3013, 269, 7101, 1756, 666, 581, 6569, 676, 9357, 5385, 267, 610, 676, 1216, 14555, 269, 634, 1394, 23574, 610, 31993, 602, 568, 3812, 568, 267, 2705, 267, 513, 1970, 7400, 14599, 3653, 563, 763, 31736, 2450, 540, 519, 6882, 267, 2356, 6027, 538, 8020, 6425, 267, 786, 3313, 1018, 786, 581, 22012, 998, 269, 2755, 513, 3044, 25050, 2450, 540, 476, 271, 269, 273, 568, 1507, 2614, 547, 3625, 5230, 8407, 971, 607, 1291, 543, 7601, 543, 1804, 15495, 971, 607, 15303, 30950, 29899, 267, 621, 786, 711, 3625, 8290, 269, 634, 2817, 5842, 2787, 7690, 5036, 513, 3044, 585, 2500, 1216, 19288, 2472, 865, 1413, 585, 606, 22085, 293, 16826, 950, 8939, 513, 6882, 547, 6718, 563, 308, 680, 663, 12647, 543, 23854, 281, 15380, 4092, 538, 519, 2212, 31662, 540, 5757, 1949, 267, 10575, 663, 23854, 616, 2356, 521, 1243, 1657, 1022, 1480, 3110, 2787, 543, 949, 581, 11303, 676, 513, 8825, 7997, 547, 6615, 519, 3255, 585, 12526, 269, 29318, 543, 19800, 2157, 616, 2356, 1970, 267, 855, 930, 4551, 267, 1486, 9926, 10394, 610, 13479, 786, 581, 1459, 269, 7316, 10575, 1343, 616, 4104, 539, 610, 24435, 344, 267, 1208, 545, 7408, 666, 7990, 519, 1216, 269, 3509, 10575, 663, 2959, 723, 1970, 9063, 799, 2154, 16369, 563, 23742, 614, 856, 13596, 609, 12566, 4054, 269, 15742, 2371, 616, 2500, 693, 9427, 13596, 689, 1216, 267, 543, 12566, 4054, 616, 1851, 519, 1655, 269, 1677, 4894, 8290, 543, 4551, 689, 707, 1216, 267, 4894, 513, 1507, 7936, 689, 513, 12566, 3529, 269, 853, 8692, 519, 13626, 689, 519, 6529, 543, 1747, 519, 11953, 6529, 883, 513, 19943, 269, 20405, 569, 13248, 519, 1216, 267, 15603, 621, 8945, 548, 5196, 519, 6529, 543, 883, 519, 19943, 563, 7197, 9258, 23015, 2670, 1949, 2154, 596, 547, 798, 513, 3787, 540, 896, 1606, 1074, 10380, 543, 16590, 513, 8559, 585, 513, 5094, 7006, 27660, 267, 855, 596, 666, 849, 1904, 585, 513, 4831, 9008, 2203, 602, 17990, 707, 22277, 2230, 543, 4465, 1406, 2154, 1022, 17656, 269, 634, 6673, 4488, 5800, 762, 22388, 9008, 681, 27654, 744, 8243, 2670, 4826, 31207, 3590, 666, 581, 1305, 909, 3533, 543, 3362, 609, 1100, 8628, 10380, 2556, 563, 302, 29773, 771, 26529, 267, 610, 12063, 29396, 267, 23520, 821, 568, 606, 18633, 11140, 799, 11593, 3947, 909, 835, 11046, 540, 5135, 3246, 513, 3532, 12444, 1944, 8665, 799, 568, 6757, 547, 1034, 1216, 13871, 7103, 269, 898, 568, 513, 1360, 2178, 267, 3376, 8552, 21149, 656, 602, 568, 4922, 1031, 538, 2342, 543, 538, 513, 1906, 25772, 538, 519, 2136, 2276, 543, 4516, 269, 898, 568, 606, 2500, 1505, 547, 30737, 10675, 5739, 1486, 9926, 10394, 602, 1106, 30219, 269, 898, 849, 1568, 1134, 1996, 3592, 782, 824, 13596, 269, 23520, 821, 568, 1500, 676, 8429, 5135, 998, 22292, 1769, 610, 513, 834, 322, 1245, 257, 5122, 11166, 269, 1677, 946, 17645, 607, 513, 21149, 656, 267, 621, 1590, 581, 2813, 593, 21935, 543, 3773, 547, 519, 1216, 676, 19389, 3346, 269, 2368, 540, 519, 5383, 540, 17645, 1331, 519, 2504, 540, 7864, 5906, 676, 1790, 20094, 543, 519, 9000, 540, 6492, 543, 5212, 712, 2042, 630, 514, 6476, 547, 8392, 1588, 1040, 3143, 15895, 17645, 568, 2451, 538, 519, 1216, 269, 769, 519, 9000, 540, 513, 15895, 21149, 656, 538, 519, 1216, 267, 20841, 610, 8392, 8533, 949, 581, 3773, 2429, 513, 3892, 1062, 547, 4894, 1022, 1761, 13596, 538, 519, 3892, 10398, 532, 563, 12024, 1034, 896, 16173, 9258, 23015, 2670, 1949, 267, 596, 3580, 991, 547, 2312, 2614, 2230, 585, 519, 476, 274, 269, 273, 3766, 718, 517, 2046, 28962, 4859, 7382, 543, 519, 6882, 7047, 5090, 2471, 269, 1809, 2899, 596, 798, 267, 596, 3580, 1265, 602, 519, 1964, 540, 519, 10380, 568, 2653, 2687, 547, 1034, 2689, 619, 269, 2290, 3593, 19528, 602, 789, 1847, 1169, 476, 274, 1296, 855, 616, 6126, 547, 796, 13318, 718, 543, 556, 2987, 560, 718, 519, 1062, 538, 1142, 1007, 15335, 1813, 547, 519, 1164, 2773, 543, 2653, 1305, 5346, 540, 519, 1775, 306, 1440, 902, 681, 6717, 278, 288, 298, 563, 306, 760, 593, 6986, 267, 2973, 1216, 609, 519, 1840, 540, 519, 6673, 4488, 31597, 476, 277, 21178, 720, 681, 27654, 744, 8243, 2670, 4826, 31207, 3590, 585, 1753, 269, 901, 9258, 23015, 2670, 1062, 568, 2653, 547, 4410, 896, 519, 16173, 543, 1274, 985, 1283, 7436, 585, 2653, 10380, 543, 5140, 6075, 3028, 269, 2060, 2706, 4390, 12086, 267, 596, 1152, 991, 547, 1689, 519, 12086, 2899, 513, 1032, 547, 2972, 2973, 543, 2922, 1216, 1169, 1554, 563, 1607, 568, 1250, 2034, 21614, 6261, 295, 3445, 1062, 269, 15439, 835, 540, 519, 1655, 1949, 593, 519, 2344, 267, 538, 1250, 6644, 269, 21964, 9758, 22337, 4670, 974, 322, 9258, 23015, 2670, 9245, 269, 1306, 4896, 5432, 609, 21614, 6487, 267, 4670, 974, 322, 17011, 616, 519, 4154, 3044, 543, 7584, 1851, 519, 16918, 538, 18349, 3928, 269, 901, 568, 711, 707, 13598, 21614, 11751, 538, 513, 8800, 4558, 267, 4352, 930, 1804, 11800, 4163, 621, 269, 18452, 570, 9169, 815, 9625, 18597, 28327, 267, 3977, 570, 9169, 815, 9625, 1428, 268, 736, 653, 332, 269, 6496, 519, 2816, 269, 5620, 711, 7318, 11682, 2943, 269, 4826, 16919, 1390, 607, 621, 1281, 609, 1250, 1101, 1062, 269, 7827, 707, 840, 12086, 2899, 829, 1032, 610, 693, 519, 5227, 4939, 307, 9169, 8884, 543, 2503, 713, 21614, 9245, 547, 2063, 922, 2407, 8430, 540, 476, 274, 268, 276, 1296, 269, 901, 568, 1360, 1271, 269, 769, 5765, 1216, 2604, 1590, 581, 693, 2547, 476, 2004, 27923, 538, 1250, 6644, 267, 585, 713, 1062, 547, 7500, 607, 5497, 269, 2311, 476, 4037, 27923, 267, 856, 4707, 2604, 568, 899, 513, 5326, 267, 1256, 609, 476, 272, 270, 275, 5257, 6006, 8685, 532, 269, 3267, 2407, 2689, 454, 288, 9258, 23015, 2670, 1216, 22729, 1770, 630, 4629, 310, 303, 308, 264, 568, 513, 15409, 267, 1582, 8410, 22633, 1216, 2126, 2030, 269, 23850, 585, 4108, 946, 267, 621, 666, 1683, 1494, 762, 1216, 689, 5176, 1022, 1216, 2707, 269, 1703, 616, 1082, 3631, 538, 946, 676, 519, 2136, 2276, 11439, 4229, 543, 519, 8225, 17086, 269, 2368, 3631, 616, 8708, 1242, 267, 930, 616, 13009, 619, 267, 543, 930, 616, 6472, 21349, 2933, 563, 2791, 723, 6707, 7858, 7007, 1863, 2887, 267, 18611, 707, 24588, 267, 543, 616, 827, 547, 5905, 1524, 269, 15822, 286, 715, 2100, 269, 769, 23024, 27624, 21088, 7914, 619, 3843, 547, 2057, 606, 21677, 693, 519, 2063, 8792, 267, 610, 4810, 6607, 323, 1392, 3168, 585, 513, 26497, 267, 1522, 3006, 7485, 513, 547, 24327, 543, 4283, 513, 1970, 3620, 809, 2490, 269, 834, 2252, 596, 1118, 602, 2490, 1932, 1970, 267, 707, 1612, 778, 1393, 3085, 1405, 723, 942, 547, 1377, 856, 2437, 3081, 27211, 6401, 523, 540, 519, 2136, 2276, 3474, 778, 1393, 5948, 269, 5502, 267, 609, 707, 2597, 2484, 856, 689, 519, 24588, 267, 596, 3513, 18711, 1524, 899, 513, 20739, 9535, 3440, 563, 3080, 540, 519, 1101, 3268, 538, 1034, 6671, 1216, 22729, 3157, 568, 519, 1840, 540, 6464, 547, 4217, 538, 519, 8851, 540, 5536, 17735, 538, 1216, 269, 3487, 2873, 666, 581, 22803, 971, 607, 10036, 543, 521, 2830, 610, 5214, 971, 607, 13479, 267, 4551, 267, 8290, 267, 1486, 9926, 10394, 543, 2067, 5214, 2339, 269, 769, 16955, 543, 5214, 5536, 3565, 547, 519, 8514, 7190, 543, 2681, 540, 1216, 563, 763, 1184, 540, 1253, 3739, 26869, 883, 6704, 1216, 814, 1044, 1031, 676, 519, 9147, 16380, 2094, 827, 476, 1220, 5084, 630, 310, 7364, 1040, 3509, 4529, 2429, 1686, 723, 1031, 1253, 20746, 607, 606, 2500, 1505, 540, 4180, 1494, 762, 1216, 269, 4014, 519, 2326, 1031, 538, 519, 1253, 20746, 1184, 723, 4957, 936, 942, 267, 519, 2257, 814, 7283, 519, 1482, 267, 18445 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 547, 3025, 779, 9983, 670, 20087, 22885, 543, 5795, 4332, 547, 513, 5067, 945, 729, 3957, 15656, 267, 1317, 267, 607, 670, 20087, 2322, 621, 267, 594, 723, 4280, 1864, 540, 519, 7083, 269, 901, 2012, 3947, 4082, 547, 670, 20087, 779, 3661, 602, 621, 729, 2696, 945, 1185, 2016, 1200, 519, 5067, 269, 7324, 519, 25232, 267, 621, 729, 519, 2688, 547, 2012, 513, 1126, 5612, 1310, 4332, 282, 519, 2012, 729, 2356, 6074, 676, 519, 3993, 269, 898, 568, 950, 649, 2097, 547, 519, 1715, 11620, 8648, 630, 5408, 19279, 476, 272, 281, 6795, 267, 476, 273, 281, 2641, 264, 602, 649, 5873, 540, 519, 20803, 27185, 19861, 11489, 519, 21632, 1554, 267, 607, 621, 568, 2944, 538, 1585, 2694, 540, 4639, 4000, 563, 3086, 519, 942, 3357, 585, 670, 20087, 547, 11886, 519, 9153, 1352, 1185, 1500, 547, 2696, 538, 1744, 559, 2129, 269, 4935, 621, 5949, 602, 950, 1352, 1185, 649, 534, 539, 15656, 267, 1352, 3576, 1864, 547, 1744, 559, 2129, 269, 634, 1974, 585, 649, 22135, 538, 5840, 729, 1063, 1079, 543, 1614, 1296, 282, 1282, 602, 1974, 519, 1126, 729, 10480, 689, 519, 3993, 779, 28244, 269, 1924, 15656, 1590, 723, 1044, 1360, 1762, 950, 646, 729, 8149, 547, 519, 1416, 540, 18379, 269, 1306, 851, 540, 519, 11428, 16008, 670, 20087, 9709, 547, 1118, 513, 15093, 269, 2701, 9935, 3576, 2059, 513, 1614, 1032, 2025, 13032, 267, 606, 552, 874, 1695, 540, 6989, 267, 543, 513, 2960, 540, 9174, 269, 901, 15093, 729, 4440, 519, 1826, 1572, 9684, 4752, 1359, 267, 513, 3099, 540, 519, 4708, 5356, 267, 799, 729, 1500, 547, 9684, 2696, 585, 1010, 9877, 1145, 269, 1323, 552, 874, 1695, 568, 1018, 649, 1131, 1289, 513, 1668, 3559, 267, 543, 513, 2960, 540, 9174, 4016, 547, 519, 2259, 540, 8876, 9174, 538, 14569, 1500, 689, 3662, 2960, 269, 634, 13032, 1131, 581, 7166, 267, 922, 1973, 23953, 856, 543, 922, 17145, 13881, 282, 519, 7912, 1131, 581, 26151, 607, 851, 540, 519, 5356, 267, 543, 519, 9174, 1031, 585, 26311, 513, 5391, 566, 693, 519, 3723, 540, 519, 26749, 269, 901, 1131, 2347, 670, 20087, 779, 15093, 540, 7064, 15130, 269, 634, 15093, 936, 267, 15656, 729, 2016, 547, 18379, 547, 2661, 609, 1864, 538, 519, 2777, 540, 2696, 543, 547, 4196, 2696, 563, 2026, 2907, 8612, 267, 18379, 1185, 1079, 14930, 945, 941, 20577, 269, 3767, 267, 891, 941, 267, 7429, 15656, 267, 4502, 1652, 2367, 282, 789, 1185, 1100, 2543, 585, 519, 7083, 269, 901, 729, 8197, 513, 3978, 5279, 269, 1215, 1223, 835, 581, 513, 17308, 543, 20549, 547, 11760, 2696, 286, 18379, 779, 14930, 1705, 1175, 602, 267, 676, 23304, 8973, 267, 1851, 824, 1919, 267, 519, 1876, 538, 4276, 609, 519, 17308, 779, 6712, 540, 519, 15093, 269, 4256, 22063, 1031, 547, 2161, 547, 26902, 26802, 267, 945, 1185, 1175, 1500, 606, 5356, 538, 519, 13527, 267, 12315, 5779, 585, 519, 17308, 547, 887, 770, 282, 585, 646, 786, 711, 3398, 23017, 5779, 689, 596, 267, 855, 6151, 269, 5840, 924, 1876, 9788, 621, 1524, 602, 20577, 941, 547, 3489, 741, 1797, 540, 2713, 689, 519, 13344, 799, 26902, 26802, 4547, 547, 2696, 269, 15742, 13980, 540, 513, 15093, 941, 519, 20577, 685, 676, 1318, 269, 634, 1152, 15093, 689, 799, 519, 20577, 6508, 4986, 729, 1018, 519, 7642, 1572, 2048, 10767, 660, 5356, 685, 1107, 713, 5356, 729, 4625, 26151, 2390, 519, 26749, 269, 901, 1876, 593, 519, 20577, 685, 2924, 729, 14648, 676, 519, 20577, 685, 22063, 1131, 2097, 543, 16702, 513, 23643, 538, 519, 1494, 538, 799, 519, 5779, 729, 5986, 267, 543, 1491, 930, 540, 519, 5779, 585, 519, 20577, 269, 5047, 267, 952, 519, 26902, 26802, 1486, 6479, 1996, 519, 22063, 685, 554, 4292, 676, 6031, 267, 2913, 873, 6633, 519, 3170, 1101, 267, 543, 1287, 1491, 607, 1454, 607, 596, 6999, 267, 789, 1131, 979, 6619, 19037, 543, 1491, 519, 5779, 282, 713, 5921, 789, 941, 7674, 2933, 1354, 2696, 779, 6712, 540, 519, 15093, 267, 519, 3170, 267, 1185, 1044, 2016, 547, 1864, 269, 4935, 519, 5609, 540, 18379, 779, 14930, 729, 5595, 282, 538, 519, 1101, 1747, 267, 789, 3576, 1022, 851, 540, 519, 5779, 3079, 540, 1346, 2694, 4330, 538, 519, 1876, 282, 2034, 569, 267, 676, 14053, 741, 6712, 1354, 519, 8781, 540, 519, 3170, 267, 789, 4951, 1390, 771, 27920, 585, 2696, 269, 634, 5609, 540, 519, 1762, 2367, 729, 1360, 1390, 538, 4278, 8289, 540, 519, 7083, 282, 585, 519, 2367, 5701, 519, 5356, 540, 519, 7083, 609, 733, 3319, 563, 1103, 4334, 547, 519, 5609, 995, 14930, 540, 18379, 267, 15656, 1295, 626, 1229, 1354, 519, 7083, 267, 513, 7911, 575, 2273, 539, 609, 513, 32028, 552, 874, 617, 269, 634, 32028, 552, 874, 617, 729, 513, 10058, 10571, 585, 519, 20577, 269, 898, 729, 513, 2186, 540, 2110, 1236, 7398, 12816, 5180, 519, 22765, 269, 15656, 729, 3976, 513, 7911, 17376, 5006, 563, 2005, 729, 711, 2394, 15656, 729, 827, 12964, 1296, 540, 2085, 267, 2705, 267, 602, 2696, 1572, 1864, 1247, 646, 729, 538, 519, 11454, 267, 1139, 3151, 621, 729, 18379, 10912, 267, 646, 4843, 5128, 1354, 18379, 281, 15656, 1705, 711, 2943, 917, 519, 7083, 267, 543, 519, 2262, 540, 519, 7083, 1185, 711, 2943, 1044, 7000, 547, 1864, 269, 11569, 267, 519, 3020, 1665, 540, 835, 945, 5713, 2696, 568, 602, 646, 1058, 723, 1044, 1572, 676, 2696, 269, 4935, 2696, 1572, 15656, 267, 711, 1152, 547, 581, 513, 17308, 267, 855, 849, 513, 22445, 1107, 547, 2995, 1010, 2262, 547, 18379, 563, 2691, 2696, 1572, 15656, 585, 519, 8772, 942, 267, 15656, 12943, 607, 18379, 1185, 25009, 1864, 269, 2696, 1287, 1767, 547, 15656, 267, 2142, 3835, 267, 594, 993, 827, 547, 798, 513, 3364, 538, 5840, 267, 693, 799, 519, 1079, 10772, 540, 1169, 835, 602, 30650, 621, 786, 512, 17532, 269, 1548, 2696, 1705, 729, 547, 3142, 827, 519, 14710, 540, 5840, 267, 519, 2669, 540, 18379, 779, 14930, 630, 292, 2993, 5128, 5747, 693, 519, 3377, 540, 1010, 14930, 685, 2669, 1070, 519, 7001, 540, 519, 18206, 267, 543, 519, 9552, 540, 519, 2777, 540, 10847, 269, 2353, 713, 729, 1317, 540, 519, 21359, 540, 18379, 779, 14930, 630, 5408, 6341, 269, 476, 273, 281, 1321, 1107, 476, 1704, 1040, 1656, 561, 652, 18379, 1589, 602, 1346, 21359, 1223, 581, 6569, 676, 15093, 267, 2696, 2417, 5143, 15656, 267, 519, 538, 18709, 540, 18379, 779, 2777, 4927, 711, 581, 1163, 7007, 676, 15093, 610, 5356, 585, 2479, 269, 634, 25232, 5156, 602, 21359, 2367, 8149, 1223, 581, 530, 21317, 856, 676, 1978, 5686, 1073, 15093, 267, 971, 607, 519, 1826, 789, 1572, 2048, 7562, 5356, 9957, 1717, 267, 519, 21359, 540, 18379, 779, 14930, 941, 971, 602, 2696, 729, 711, 2469, 547, 3398, 24279, 585, 741, 8851, 269, 901, 3746, 2478, 519, 3978, 1145, 540, 519, 1055, 775, 563, 2005, 568, 3833, 2693, 602, 15656, 23503, 609, 5128, 2436, 610, 711, 547, 2995, 18379, 1018, 2962, 2696, 729, 4058, 1996, 1864, 269, 18379, 267, 2705, 267, 1590, 723, 16143, 1018, 729, 547, 2097, 282, 585, 646, 22679, 1600, 689, 15656, 1018, 2696, 1185, 5143, 1864, 269, 769, 1010, 8990, 547, 917, 519, 10782, 267, 18379, 1767, 547, 15656, 267, 2904, 2696, 798, 865, 547, 596, 543, 811, 849, 267, 952, 596, 12404, 4376, 689, 803, 540, 782, 602, 646, 630, 18661, 264, 5143, 596, 269, 18379, 779, 15048, 729, 513, 1106, 540, 522, 987, 799, 646, 1045, 12097, 538, 1931, 547, 2322, 2604, 593, 15656, 547, 7866, 1018, 2696, 5143, 1864, 269, 898, 2982, 875, 14221, 18379, 729, 547, 917, 519, 5168, 269, 898, 1281, 6157, 2408, 607, 952, 18379, 4397, 602, 2696, 1131, 711, 1577, 519, 9409, 23339, 540, 1010, 14930, 979, 10002, 684, 1639, 269, 1879, 15656, 5143, 1864, 519, 5168, 646, 1767, 267, 621, 568, 519, 7083, 282, 1577, 1864, 798, 1018, 4667, 1434, 547, 1864, 269, 18379, 759, 11220, 5128, 547, 2696, 779, 786, 1996, 799, 646, 6785, 812, 729, 1379, 1652, 269, 2290, 568, 18056, 540, 519, 1913, 540, 6424, 950, 646, 1767, 267, 2142, 3835, 267, 1934, 594, 993, 267, 1577, 1864, 630, 18661, 264, 798, 547, 803, 1018, 4667, 1434, 547, 1864, 630, 273, 6341, 269, 476, 1428, 281, 2918, 1916, 21579, 3241, 8057, 267, 543, 519, 7083, 729, 609, 1864, 543, 1577, 9039, 540, 1010, 1913, 2887, 547, 519, 2666, 282, 602, 568, 267, 519, 16322, 2886, 540, 15656, 941, 2141, 24009, 610, 9672, 676, 2696, 269, 769, 1346, 2395, 267, 513, 22445, 729, 9863, 547, 581, 971, 952, 8726, 646, 1767, 3357, 547, 1780, 269, 634, 2898, 2244, 540, 5840, 689, 8355, 547, 2142, 619, 515, 9346, 6785, 1864, 547, 581, 513, 22445, 269, 2060, 15656, 3964, 538, 1744, 559, 2129, 607, 519, 3020, 17308, 543, 22445, 267, 519, 7083, 7902, 1586, 693, 1744, 559, 2129, 269, 11525, 762, 519, 2777, 540, 2696, 1185, 1044, 9390, 539, 1317, 540, 519, 9409, 798, 902, 540, 18379, 779, 14930, 267, 855, 1631, 519, 7083, 7000, 5128, 547, 15656, 693, 1744, 559, 2129, 676, 519, 2262, 540, 519, 7083, 563, 288, 2417, 2262, 1590, 581, 1767, 827, 15656, 779, 1289, 269, 898, 568, 547, 581, 7074, 602, 15656, 568, 1767, 547, 723, 4862, 2696, 779, 1289, 269, 11569, 267, 649, 616, 5143, 602, 519, 7083, 2760, 3357, 543, 11542, 8521, 267, 10912, 607, 693, 824, 2053, 269, 3657, 649, 547, 1174, 713, 12777, 286, 634, 2626, 547, 713, 2243, 4667, 547, 581, 602, 649, 1058, 711, 1491, 12777, 519, 1893, 540, 3909, 1995, 538, 519, 6426, 269, 898, 568, 711, 607, 952, 2696, 7902, 547, 15656, 538, 930, 2168, 3337, 610, 824, 267, 607, 835, 1131, 3717, 547, 835, 779, 3659, 610, 3993, 269, 2201, 519, 824, 1688, 267, 519, 1995, 1223, 711, 723, 1044, 513, 5326, 2094, 15656, 729, 2111, 547, 2196, 543, 3717, 547, 18379, 543, 2132, 547, 6432, 547, 2696, 779, 5639, 269, 898, 1131, 581, 796, 515, 731, 540, 585, 513, 1268, 945, 729, 29681, 538, 5127, 547, 1205, 909, 267, 979, 593, 606, 2144, 8681, 267, 543, 2097, 1394, 883, 519, 5127, 547, 5326, 689, 519, 1448, 1141, 646, 2451, 1055, 256, 9320, 2367, 540, 2696, 723, 14754, 547, 519, 1249, 602, 2696, 1281, 3717, 547, 1107, 538, 519, 9602, 1145, 540, 938, 5127, 7741, 267, 538, 519, 2669, 540, 513, 6068, 835, 267, 543, 538, 1585, 824, 3871, 269, 634, 1271, 3364, 827, 15656, 779, 1289, 568, 602, 646, 15527, 1107, 28423, 7083, 267, 585, 16815, 22700, 30650, 269, 1261, 2322, 5128, 538, 2696, 779, 3946, 607, 1010, 6293, 563, 763, 1448, 729, 1500, 538, 1250, 2063, 2022, 602, 519, 5845, 626, 1149, 267, 1346, 2112, 3697, 1004, 945, 1185, 12306, 593, 519, 11335, 5032, 4166, 1310, 519, 12625, 540, 519, 25232, 689, 5527, 267, 941, 18761, 593, 8744, 519, 2898, 2197, 896, 741, 4341, 269, 769, 20678, 547, 3035, 17117, 540, 519, 2244, 267, 513, 32692, 609, 519, 25232, 729, 796, 28300, 762, 269, 1635, 519, 942, 540, 15656, 1896, 20935, 7575, 1185, 1044, 1500, 676, 891, 1079, 9082, 267, 835, 1996, 519, 824, 269, 3767, 267, 14221, 547, 5397, 1394, 891, 5845, 25434, 28164, 1317, 789, 941, 513, 2367, 864, 267, 519, 25232, 7722, 873, 547, 6370, 267, 855, 267, 1498, 789, 3576, 519, 18206, 609, 873, 547, 6370, 267, 621, 1705, 711, 2061, 741, 14710, 269, 3509, 540, 873, 941, 7166, 267, 1519, 519, 14930, 540, 18379, 267, 543, 519, 18206, 729, 9676, 676, 519, 5845, 626, 1149, 269, 18379, 5128, 5747, 693, 519, 3377, 540, 519, 9568, 269, 634, 18206, 267, 2705, 267, 729, 6368, 8120, 547, 519, 25232, 563, 5472, 713, 942, 267, 519, 1585, 5840, 924, 11031, 4797, 547, 2661, 538, 10072, 689, 835, 1776, 267, 811, 610, 1447, 267, 1510, 1022, 3844, 13539, 269, 1809, 1631, 267, 519, 3463, 789, 941, 5185, 609, 1317, 540, 519, 5845, 25434, 4434, 729, 971, 602, 1455, 2962, 729, 1572, 585, 269, 898, 568, 711, 9670, 267, 4061, 267, 602, 519, 25232, 3459, 547, 1413, 1472, 585, 2576, 945, 1131, 581, 606, 2500, 6205, 538, 6370, 267, 543, 896, 7247, 789, 1131, 4339, 607, 593, 1004, 563, 2467, 616, 1079, 6589, 540, 875, 519, 21257, 3357, 547, 581, 1128, 21114, 269, 1284, 616, 5143, 538, 30667, 476, 279, 543, 476, 1015, 630, 341, 341, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5814, 556, 454, 5814, 621, 1068, 8962, 7531, 3698, 2638, 1470, 29033, 2187, 825, 5727, 13425, 945, 568, 519, 16771, 540, 513, 2473, 338, 543, 14642, 3014, 780, 825, 1488, 7714, 912, 1038, 4604, 1496, 4289, 13912, 634, 4604, 693, 519, 1439, 540, 519, 3014, 563, 825, 16849, 912, 1038, 634, 3014, 16771, 1496, 1598, 316, 610, 513, 1412, 291, 262, 538, 2013, 540, 513, 2721, 563, 825, 8173, 825, 1948, 1711, 606, 8900, 1592, 799, 786, 4558, 782, 10659, 649, 1616, 547, 2638, 454, 825, 9696, 815, 29129, 825, 1948, 971, 607, 9343, 4429, 825, 9696, 815, 1496, 992, 585, 4737, 538, 4604, 6540, 825, 1948, 3267, 9587, 454, 825, 585, 524, 538, 2039, 263, 274, 2187, 1038, 3693, 8217, 815, 11713, 1038, 1496, 324, 2211, 8217, 269, 2169, 754, 21405, 314, 322, 8079, 585, 4737, 538, 4604, 2639, 1038, 9696, 269, 2169, 754, 8443, 257, 2668, 21860, 16216, 2211, 8217, 13580, 2020, 825, 1948, 3267, 543, 519, 1079, 32377, 454, 825, 1948, 585, 519, 1292, 15497, 649, 786, 15407, 519, 1249, 602, 519, 13366, 723, 4737, 454, 825, 1948, 4994, 11224, 547, 519, 6241, 4994, 454, 825, 9696, 269, 2169, 754, 8443, 257, 2668, 21860, 8443, 4580, 19559, 6012, 333, 316, 585, 562, 538, 2039, 263, 274, 264, 8079, 7481, 825, 1948, 585, 519, 5634, 15497, 3079, 649, 723, 547, 1305, 873, 14384, 454, 825, 9696, 269, 2169, 754, 8443, 257, 2668, 21860, 8443, 4580, 314, 337, 6012, 322, 316, 585, 678, 267, 524, 454, 4449, 25639, 538, 23407, 263, 9792, 263, 273, 267, 910, 272, 267, 910, 272, 1070, 2039, 263, 274, 4297, 8079, 20285, 825, 1948, 2638, 952, 1022, 540, 1346, 9696, 6474, 1022, 540, 519, 10888, 3270, 454, 825, 2132, 2638, 318, 6312, 1181, 263, 25119, 9239, 3698, 2638, 318, 6312, 1181, 263, 25119, 2187, 825, 5727, 13425, 952, 1022, 540, 519, 9696, 3568, 1614, 15654, 13366, 689, 454, 825, 519, 1482, 6345, 267, 799, 1131, 2697, 519, 16771, 269, 1403, 972, 568, 1100, 16771, 2676, 825, 2132, 513, 1412, 291, 262, 780, 825, 1488, 7714, 912, 1038, 9696, 1496, 4289, 17338, 13580, 281, 634, 9696, 547, 2638, 563, 825, 16849, 912, 1038, 634, 6345, 945, 4465, 519, 3014, 610, 513, 1412, 291, 262, 538, 2013, 540, 513, 2721, 1496, 1598, 14073, 825, 8173, 825, 1267, 815, 834, 291, 4840, 825, 585, 4806, 538, 9696, 912, 1038, 585, 6345, 538, 9497, 311, 2580, 834, 302, 257, 2187, 2018, 2119, 912, 3546, 952, 7003, 263, 516, 269, 14142, 263, 516, 2593, 335, 850, 2891, 314, 24001, 27994, 2668, 8971, 263, 16651, 264, 13211, 14030, 4806, 1040, 16766, 263, 271, 4297, 2652, 476, 274, 912, 7386, 1267, 815, 6345, 454, 2018, 4849, 5900, 25572, 13286, 912, 3546, 1948, 9039, 540, 519, 2281, 538, 519, 5311, 729, 6825, 676, 519, 6345, 454, 3546, 1780, 454, 825, 2132, 1267, 454, 0, 692, 3698, 2638, 1470, 263, 6783, 2187, 825, 5727, 306, 4548, 1256, 268, 8161, 525, 2609, 543, 9062, 873, 693, 519, 2063, 780, 825, 1488, 7714, 912, 1038, 5044, 1496, 4289, 13912, 634, 2338, 649, 1616, 547, 1184, 563, 825, 16849, 912, 1038, 634, 2040, 540, 1256, 268, 8161, 525, 2609, 267, 16611, 676, 519, 2063, 454, 1038, 3693, 540, 519, 5044, 1496, 15615, 14073, 825, 8173, 825, 952, 711, 5044, 912, 1038, 2132, 476, 271, 454, 825, 2132, 2040, 263, 6783, 11468, 281, 273, 8079, 2608, 5044, 15631, 272, 2639, 0, 4596, 11862, 815, 9497, 320, 2580, 834, 321, 2580, 834, 322, 2580, 834, 323, 2580, 834, 324, 2580, 834, 325, 2580, 834, 326, 2580, 834, 327, 5602, 300, 2562, 318, 4596, 299, 318, 2839, 311, 815, 476, 271, 454, 7246, 311, 318, 4596, 299, 318, 2839, 311, 815, 476, 278, 7531, 3698, 2922, 7272, 1177, 985, 9638, 1177, 985, 2187, 825, 5727, 11693, 606, 5044, 8204, 519, 2990, 540, 519, 30392, 985, 538, 513, 21802, 4604, 2676, 825, 3313, 519, 1297, 540, 30392, 985, 602, 616, 2922, 269, 589, 533, 11921, 568, 2922, 952, 1776, 533, 11921, 454, 825, 666, 7001, 513, 1770, 593, 602, 4009, 269, 1284, 616, 7255, 1152, 609, 3043, 30392, 985, 563, 825, 1280, 3043, 30392, 985, 519, 4395, 10945, 616, 10945, 609, 3152, 4737, 982, 741, 780, 825, 1488, 7714, 912, 1038, 30392, 985, 1496, 6783, 13912, 634, 2990, 540, 30392, 985, 538, 513, 21802, 4604, 563, 825, 16849, 912, 1038, 634, 1297, 1496, 842, 316, 540, 30392, 985, 602, 616, 2808, 2922, 563, 825, 29185, 825, 1948, 1711, 513, 1592, 609, 782, 2189, 7575, 585, 519, 30392, 985, 538, 519, 4604, 454, 825, 7575, 318, 961, 815, 1496, 335, 6372, 8548, 7174, 9638, 11921, 264, 585, 533, 11921, 538, 30392, 985, 2639, 825, 7575, 815, 1592, 263, 3553, 8443, 332, 913, 585, 7575, 538, 7575, 318, 961, 585, 1847, 538, 7575, 8079, 2020, 825, 1948, 2132, 519, 1297, 540, 2053, 513, 533, 11921, 781, 1699, 2990, 568, 3769, 538, 519, 454, 825, 1948, 1592, 540, 2189, 2009, 7575, 454, 825, 2132, 2040, 8443, 332, 7174, 29644, 9638, 11921, 264, 585, 533, 11921, 538, 30392, 985, 20285, 3698, 2009, 8548, 7174, 9638, 11921, 2187, 825, 5727, 11693, 513, 533, 11921, 1699, 2990, 3313, 782, 519, 2009, 7575, 269, 1284, 616, 454, 825, 7255, 1152, 609, 3043, 30392, 985, 269, 1280, 3043, 30392, 985, 519, 4395, 10945, 616, 454, 825, 10945, 609, 3152, 4737, 982, 741, 780, 825, 1488, 7714, 912, 1038, 533, 11921, 1496, 1598, 13912, 634, 2990, 540, 513, 533, 11921, 538, 519, 21802, 4604, 563, 825, 16849, 912, 1038, 1496, 14654, 921, 316, 25792, 7158, 563, 825, 8173, 825, 897, 267, 4737, 815, 1496, 331, 585, 561, 538, 533, 11921, 2639, 825, 897, 16182, 343, 815, 703, 263, 4596, 11862, 28827, 263, 3712, 4917, 825, 2132, 22373, 2668, 21860, 8443, 1598, 263, 4596, 11862, 27776, 6262, 264, 1341, 703, 3799, 13580, 1070, 1193, 17301, 16868, 264, 1341, 476, 272, 264, 7481, 2018, 585, 524, 267, 678, 538, 23407, 8443, 3712, 16182, 343, 3910, 4737, 264, 585, 562, 538, 11196, 272, 267, 476, 272, 994, 2018, 952, 703, 16868, 264, 1341, 476, 272, 10922, 476, 279, 543, 32745, 318, 4596, 299, 318, 2839, 311, 10922, 703, 6262, 264, 1341, 562, 10922, 10790, 311, 318, 4596, 299, 318, 2839, 311, 2639, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 7531, 3240, 29999, 6889, 335, 558, 1889, 5016, 19587, 318, 4186, 284, 271, 7531, 2745, 630, 3240, 29999, 2020, 6112, 5470, 318, 4186, 10922, 476, 276, 1384, 453, 3240, 318, 12072, 815, 3403, 2891, 550, 17243, 11552, 1577, 30036, 15419, 825, 1820, 630, 1250, 318, 12072, 994, 8931, 0, 258, 28605, 8193, 281, 583, 325, 268, 279, 20609, 8894, 12163, 20373, 912, 2414, 1265, 513, 1871, 799, 4386, 1152, 2899, 538, 513, 1592, 267, 1141, 519, 1592, 814, 519, 1739, 1179, 912, 825, 972, 568, 1152, 835, 6221, 4386, 2899, 267, 519, 824, 3688, 782, 2049, 7466, 454, 20701, 454, 3698, 1505, 272, 6025, 1173, 1115, 2187, 825, 4831, 815, 31460, 825, 585, 6221, 538, 9072, 912, 1038, 952, 6221, 711, 538, 4831, 269, 12399, 10031, 2018, 4831, 314, 14403, 316, 815, 476, 272, 454, 1038, 3116, 912, 2018, 4831, 314, 14403, 316, 6834, 476, 272, 454, 825, 585, 1883, 267, 1871, 538, 4831, 29096, 10031, 1038, 952, 1871, 2652, 476, 272, 912, 2018, 2132, 1883, 7531, 3698, 1505, 273, 6025, 1173, 1115, 2187, 825, 6221, 22674, 27928, 815, 1305, 6025, 1173, 1115, 994, 825, 585, 2189, 318, 14403, 538, 6221, 22674, 27928, 912, 1038, 2119, 912, 2018, 9072, 31927, 263, 684, 1664, 318, 14403, 994, 2018, 9072, 31927, 263, 684, 1664, 318, 14403, 994, 1038, 4849, 28759, 912, 2018, 2132, 2189, 318, 14403, 7531, 3698, 1505, 274, 6025, 1173, 1115, 2187, 825, 6221, 22674, 27928, 815, 15044, 6025, 1173, 1115, 994, 825, 4994, 815, 476, 271, 454, 825, 1247, 4994, 2999, 7003, 263, 14403, 22674, 27928, 264, 910, 476, 272, 912, 1038, 952, 6221, 22674, 27928, 27709, 316, 11203, 6221, 22674, 27928, 27709, 266, 272, 14158, 2018, 2132, 6221, 22674, 27928, 27709, 2639, 1038, 4994, 6834, 476, 273, 454, 825, 2132, 6221, 22674, 27928, 15631, 272, 6540, 454, 5035, 4855, 306, 17532, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 3077, 8217, 267, 1265, 6831, 718, 3724, 2187, 1038, 7682, 568, 27349, 6025, 13759, 8217, 267, 1592, 994, 1038, 1582, 6745, 1173, 1115, 815, 3077, 8217, 454, 1038, 1582, 6983, 718, 3724, 815, 1265, 6831, 718, 3724, 692, 825, 1219, 2196, 4311, 2187, 1038, 2132, 1582, 6983, 718, 3724, 4311, 6745, 1173, 1115, 9239, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1265, 815, 4855, 306, 17532, 8443, 272, 267, 476, 275, 267, 476, 272, 267, 476, 275, 267, 476, 278, 3910, 1265, 6831, 718, 3724, 284, 24709, 273, 994, 825, 1820, 1265, 269, 14725, 3890, 0, 332, 2643, 626, 815, 1496, 272, 267, 273, 267, 274, 6540, 332, 2643, 626, 6910, 263, 275, 2020, 2745, 263, 6943, 9852, 2643, 626, 4917, 2745, 263, 6943, 9852, 2643, 626, 264, 568, 1592, 2020, 5035, 12726, 10031, 825, 1780, 8528, 345, 815, 12726, 10797, 2745, 263, 6943, 18750, 11723, 5035, 13928, 10031, 825, 1948, 4147, 8629, 5900, 1026, 2373, 281, 3020, 585, 782, 519, 8320, 538, 519, 1362, 454, 825, 2249, 815, 1412, 332, 2459, 531, 28847, 825, 1219, 6449, 8181, 9191, 1345, 267, 9742, 2187, 1038, 1582, 269, 3691, 539, 815, 9742, 692, 343, 815, 13928, 263, 3691, 539, 8782, 18350, 5073, 2745, 3287, 269, 3691, 539, 994, 2745, 3287, 4732, 23853, 994, 291, 690, 4732, 23853, 815, 1412, 8127, 7055, 343, 4732, 23853, 815, 1412, 338, 7055, 2745, 3287, 4732, 23853, 994, 2745, 20573, 690, 4732, 23853, 9239, 5035, 17781, 3890, 1384, 825, 14039, 815, 476, 274, 269, 1691, 692, 825, 1219, 6449, 8181, 9191, 1345, 267, 8953, 815, 476, 272, 2187, 1038, 1582, 269, 31709, 815, 8953, 22562, 825, 1219, 1858, 4311, 2187, 1038, 2132, 1582, 269, 31709, 2608, 1582, 269, 31709, 2608, 1582, 32564, 692, 3240, 290, 22511, 815, 17781, 263, 1015, 994, 2745, 30044, 290, 22511, 269, 31709, 994, 2745, 30044, 290, 22511, 269, 19327, 31156, 5035, 10960, 10031, 825, 1219, 6449, 8181, 9191, 1345, 267, 9663, 2187, 1038, 1582, 8807, 584, 815, 9663, 454, 1038, 1820, 3488, 27154, 23095, 256, 17210, 825, 1219, 1867, 4311, 2187, 1038, 1820, 3488, 27154, 5073, 8931, 825, 1219, 3548, 4311, 2187, 1038, 1820, 3488, 292, 520, 17210, 320, 815, 10960, 3488, 14673, 21424, 5073, 320, 18622, 1636, 4590, 320, 4318, 520, 10797, 5035, 13928, 263, 27154, 17107, 825, 1219, 6449, 8181, 9191, 1345, 267, 9663, 2187, 1038, 10960, 14857, 8181, 9191, 1345, 267, 9663, 994, 1038, 1820, 3488, 291, 690, 23095, 256, 17210, 825, 1948, 6396, 936, 337, 4575, 454, 825, 1219, 1867, 4311, 2187, 1038, 1820, 3488, 291, 690, 17210, 323, 815, 13928, 3488, 1598, 1052, 5073, 323, 18622, 1636, 4590, 323, 4318, 520, 4590, 2745, 5560, 8807, 584, 2020, 5035, 3883, 10031, 825, 1219, 6449, 8181, 9191, 1345, 267, 2140, 267, 2278, 267, 3817, 2187, 1038, 1582, 26644, 815, 2140, 454, 1038, 1582, 269, 10461, 815, 2278, 454, 1038, 1582, 4877, 1137, 815, 3817, 692, 825, 1219, 6449, 516, 1440, 9191, 1345, 2187, 1038, 2132, 535, 257, 17138, 281, 2715, 1345, 26644, 9574, 8191, 281, 2715, 1345, 269, 10461, 348, 5016, 825, 1219, 6449, 6352, 9191, 1345, 2187, 1038, 2132, 1582, 4877, 1137, 692, 3240, 1504, 815, 3883, 2891, 23911, 7725, 256, 2580, 1412, 297, 846, 3299, 476, 7742, 994, 2745, 30044, 1504, 994, 2745, 12759, 30044, 1504, 4297, 0, 26611, 23591, 24800, 19841, 341, 9226, 692, 325, 14090, 815, 1496, 271, 267, 476, 272, 6540, 3698, 4017, 3799, 2187, 825, 8173, 825, 17776, 519, 25828, 1297, 585, 519, 2016, 8870, 269, 13405, 2164, 616, 6740, 454, 825, 630, 325, 14090, 264, 547, 2569, 16571, 542, 630, 323, 29174, 5752, 1916, 825, 6724, 912, 8587, 562, 910, 8870, 454, 825, 7024, 912, 8587, 25828, 1297, 454, 825, 8173, 825, 2518, 535, 14090, 454, 825, 952, 562, 13843, 7003, 6600, 14090, 2187, 1038, 535, 14090, 6910, 6600, 756, 3799, 910, 476, 272, 264, 1341, 4017, 3799, 910, 476, 273, 4917, 825, 2132, 535, 14090, 19559, 6540, 333, 4548, 815, 1496, 272, 267, 476, 273, 267, 476, 276, 267, 476, 1015, 267, 476, 1911, 6540, 2745, 1412, 567, 715, 476, 674, 333, 262, 8931, 1721, 562, 538, 15358, 912, 825, 1820, 1412, 260, 275, 323, 281, 4939, 323, 262, 4939, 630, 333, 267, 4017, 3799, 4297 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 15057, 630, 10059, 2517, 4178, 269, 2102, 324, 3316, 802, 3820, 270, 2102, 324, 3316, 802, 270, 545, 571, 325, 14370, 17739, 539, 593, 476, 1428, 4728, 476, 1708, 272, 4297, 476, 29759, 268, 279, 2190, 277, 267, 5564, 760, 17123, 4054, 268, 277, 3393, 277, 14889, 6020, 268, 4139, 700, 12083, 3194, 4659, 267, 715, 23879, 6798, 267, 15057, 630, 10059, 2517, 4178, 269, 2102, 324, 3316, 802, 3820, 270, 2102, 324, 3316, 802, 270, 559, 686, 14370, 17739, 539, 593, 476, 1428, 4728, 476, 1708, 272, 4297, 476, 1280, 720, 21823, 543, 22053, 268, 5908, 7830, 16843, 6020, 268, 4139, 19676, 3194, 4659, 267, 11968, 13391, 10722, 657, 267, 13372, 630, 10059, 2517, 4178, 269, 2102, 324, 3316, 802, 3820, 270, 2102, 324, 3316, 802, 270, 597, 686, 14370, 17739, 539, 593, 476, 1428, 4728, 476, 1708, 272, 4297, 476, 19676, 268, 15171, 5780, 272, 454, 763, 7127, 568, 689, 476, 1015, 269, 26552, 271, 4882, 340, 14530, 29045, 6246, 454, 268, 12070, 7719, 267, 717, 269, 769, 32163, 11094, 540, 16581, 7010, 269, 769, 26085, 282, 9177, 267, 11094, 543, 19889, 4886, 282, 6196, 7615, 267, 631, 1421, 1325, 25468, 267, 808, 1421, 661, 1091, 5919, 4639, 7348, 4964, 281, 645, 30629, 267, 2910, 267, 7330, 267, 476, 1960, 272, 282, 6032, 269, 476, 10436, 1700, 6200, 563, 268, 681, 7776, 267, 715, 14389, 269, 7233, 4719, 2200, 281, 5917, 3496, 5726, 543, 946, 998, 24684, 269, 2279, 337, 269, 808, 269, 4437, 27370, 565, 269, 476, 1220, 275, 267, 476, 274, 267, 476, 15793, 1700, 13970, 563, 268, 13391, 1393, 267, 717, 12282, 5919, 5915, 701, 342, 6504, 267, 670, 5919, 681, 625, 324, 6199, 267, 700, 13034, 269, 4635, 22308, 4485, 547, 12260, 519, 1761, 540, 595, 29949, 585, 7693, 9542, 547, 2916, 1689, 269, 769, 30495, 8187, 4039, 2510, 543, 8693, 7827, 282, 4414, 6577, 267, 681, 1421, 962, 611, 822, 267, 590, 2529, 1421, 8575, 868, 539, 267, 715, 1421, 667, 1638, 5622, 267, 631, 9950, 1421, 2871, 541, 3626, 267, 700, 1421, 8055, 267, 623, 1421, 661, 1091, 5919, 25067, 4563, 6202, 281, 20122, 7505, 267, 27359, 267, 7330, 267, 476, 1001, 276, 563, 268, 918, 749, 267, 590, 5919, 3057, 3626, 267, 631, 5919, 8575, 868, 539, 267, 715, 269, 645, 2714, 6352, 1815, 802, 538, 519, 623, 16165, 11902, 946, 1062, 281, 853, 820, 6868, 685, 5380, 269, 661, 25045, 12682, 3821, 476, 1001, 278, 267, 476, 22659, 267, 476, 10204, 563, 268, 674, 7776, 270, 296, 17989, 686, 270, 4002, 340, 269, 2637, 20623, 1678, 4441, 585, 7233, 18726, 8249, 585, 5253, 543, 11982, 267, 4860, 269, 1196, 5919, 14174, 302, 281, 7507, 267, 7977, 267, 476, 1001, 275, 282, 533, 269, 476, 9264, 269, 9768, 476, 280, 3066, 271, 6246, 26951, 276, 563, 268, 717, 657, 531, 267, 590, 2529, 5919, 654, 8643, 267, 590, 13034, 5919, 918, 836, 267, 631, 2529, 269, 30911, 543, 7693, 6454, 269, 808, 269, 30495, 269, 8555, 341, 269, 476, 1001, 271, 267, 476, 2190, 267, 476, 14631, 1700, 24241, 563, 268, 1546, 22911, 267, 808, 8160, 12282, 269, 24583, 1023, 585, 519, 10859, 268, 541, 573, 21050, 923, 269, 769, 7233, 12358, 652, 1709, 676, 1473, 340, 1027, 631, 16615, 267, 18619, 540, 519, 27545, 6828, 20051, 593, 634, 25792, 2422, 540, 631, 16615, 6601, 5338, 585, 21826, 12358, 652, 1709, 540, 1715, 30495, 12518, 267, 21499, 267, 15212, 267, 476, 1704, 1700, 2641, 5437, 476, 2735, 277, 282, 17434, 14174, 302, 270, 8656, 12788, 10406, 540, 17437, 9828, 538, 5253, 543, 11982, 281, 7507, 267, 7977, 267, 476, 2735, 280, 282, 6032, 269, 476, 8064, 1700, 6434, 563, 268, 19159, 267, 645, 6185, 269, 30495, 4719, 4199, 3609, 281, 634, 1909, 540, 608, 2198, 5444, 8492, 269, 3243, 269, 808, 269, 3397, 878, 269, 1763, 712, 269, 661, 935, 269, 476, 1960, 278, 267, 476, 6078, 267, 476, 10037, 1700, 12893, 563, 268, 5455, 611, 1506, 11535, 267, 670, 6185, 5919, 717, 578, 6767, 267, 595, 11482, 11482, 5919, 645, 7795, 926, 13665, 320, 267, 670, 14389, 5919, 595, 709, 577, 267, 808, 13034, 269, 31478, 946, 540, 7693, 10351, 680, 11047, 2200, 281, 17291, 3730, 10351, 680, 11047, 585, 7693, 6454, 998, 4295, 543, 9910, 2275, 648, 10070, 543, 7636, 15262, 4485, 269, 7233, 2637, 564, 269, 1763, 712, 269, 476, 1220, 277, 267, 476, 275, 267, 476, 1839, 1700, 3374, 563, 268, 13891, 537, 1188, 267, 667, 14371, 269, 19737, 7233, 18726, 16844, 269, 30495, 2233, 269, 476, 1220, 274, 267, 476, 6246, 267, 476, 278, 5392, 1700, 16020, 563, 268, 12668, 3832, 12028, 5652, 267, 661, 5919, 6755, 332, 1115, 320, 267, 681, 17679, 5919, 13648, 267, 667, 10611, 5919, 966, 517, 654, 9116, 6199, 267, 661, 12282, 11065, 269, 7982, 547, 519, 3552, 338, 281, 570, 6260, 12105, 14624, 585, 14388, 7031, 998, 9836, 10316, 1436, 609, 7693, 3552, 14077, 269, 2549, 269, 808, 269, 15636, 269, 476, 1001, 275, 267, 476, 6200, 267, 476, 9692, 272, 1700, 5197, 271, 563, 268, 23340, 267, 570, 8160, 5919, 1488, 11961, 3570, 267, 631, 12282, 269, 23206, 5026, 11655, 256, 519, 2484, 23568, 7418, 540, 5229, 7328, 4573, 1218, 547, 24972, 22450, 543, 2030, 7350, 269, 670, 20294, 269, 1763, 269, 476, 1001, 279, 267, 476, 276, 563, 268, 966, 822, 559, 990, 267, 715, 15660, 269, 18882, 543, 17323, 540, 4980, 17300, 7233, 282, 11062, 2160, 4964, 281, 11062, 267, 5177, 267, 476, 1960, 273, 282, 9768, 476, 32180, 9610, 275, 2767, 275, 563, 268, 11809, 4157, 990, 20391, 267, 623, 8160, 269, 6301, 5444, 18013, 540, 16916, 2371, 543, 741, 3552, 14077, 1369, 519, 8513, 540, 519, 772, 2529, 2529, 10611, 269, 661, 25045, 12682, 3821, 476, 3422, 276, 267, 476, 1691, 267, 476, 10082, 1700, 6642, 563, 268, 4498, 17427, 267, 808, 10611, 5919, 1546, 22911, 267, 808, 8160, 12282, 269, 19331, 731, 513, 21929, 19032, 540, 4980, 17300, 12518, 269, 12525, 517, 476, 3192, 272, 267, 476, 736, 267, 476, 2004, 280, 1700, 276, 1704, 563, 268, 4498, 17427, 267, 670, 17679, 269, 634, 18882, 540, 32431, 539, 4446, 2917, 269, 808, 269, 670, 1229, 269, 476, 4350, 272, 267, 476, 2420, 267, 476, 25228, 1700, 26604, 563, 268, 6742, 657, 267, 966, 5919, 20858, 334, 267, 595, 5919, 681, 9618, 4599, 16210, 267, 962, 5919, 25661, 807, 5548, 26874, 267, 700, 12171, 269, 4635, 19200, 10861, 338, 547, 3313, 29981, 3347, 543, 4719, 11761, 538, 546, 584, 636, 10568, 28212, 5950, 538, 7977, 543, 8050, 2429, 519, 476, 736, 628, 2540, 269, 29425, 30495, 269, 1763, 269, 476, 1220, 276, 267, 476, 11011, 267, 476, 13040, 1700, 14138, 563, 268, 681, 5255, 320, 267, 674, 5919, 5975, 1084, 322, 22620, 267, 661, 5919, 13937, 1706, 267, 595, 269, 18726, 11761, 4879, 998, 519, 556, 12258, 22162, 540, 7693, 10351, 680, 11047, 269, 4032, 625, 540, 1488, 13892, 11749, 1372, 557, 345, 267, 9253, 8615, 9809, 334, 267, 3933, 2145, 1122, 516, 267, 623, 517, 974, 13005, 645, 2117, 320, 543, 6833, 6652, 632, 25376, 549, 630, 21545, 1872, 531, 1040, 7233, 2637, 564, 269, 1763, 712, 269, 5240, 331, 269, 476, 1220, 279, 267, 476, 15150, 267, 476, 277, 1700, 1724, 563, 268, 22859, 714, 267, 631, 5919, 30954, 22222, 268, 5226, 714, 8457, 267, 631, 5919, 5450, 752, 990, 20391, 267, 661, 17679, 5919, 966, 1794, 4302, 345, 267, 808, 12171, 5919, 29336, 21034, 267, 808, 8160, 269, 2717, 2096, 6973, 1143, 267, 8390, 543, 4719, 3961, 540, 5053, 1455, 10568, 10351, 680, 11047, 1759, 593, 1350, 328, 611, 1231, 27586, 269, 12197, 15867, 1186, 1763, 269, 476, 1220, 273, 267, 476, 8064, 267, 476, 6977, 1700, 3422, 563, 268, 17664, 16927, 8663, 571, 267, 808, 5919, 5651, 22641, 267, 623, 11482, 5919, 717, 2246, 267, 645, 2529, 269, 7233, 29143, 1709, 267, 513, 2189, 4316, 547, 2697, 519, 4719, 4493, 540, 9542, 269, 28540, 269, 6298, 269, 14844, 331, 269, 2233, 269, 7330, 476, 1220, 278, 267, 476, 10441, 630, 11045, 331, 269, 476, 272, 1070, 476, 279, 5038, 272, 1700, 279, 5038, 279, 563, 268, 2871, 541, 3626, 267, 700, 269, 22604, 547, 7893, 4719, 11761, 269, 623, 16165, 11657, 566, 543, 6176, 538, 2342, 1765, 307, 578, 1841, 513, 4264, 543, 3593, 15129, 1344, 5989, 269, 769, 18619, 540, 519, 21768, 16165, 3041, 15937, 10985, 10395, 1441, 609, 513, 20051, 540, 519, 661, 9573, 270, 16165, 6176, 543, 11657, 566, 8416, 267, 26285, 826, 267, 16231, 6243, 267, 476, 1556, 1700, 1724, 5181, 476, 1220, 274, 563, 268, 5455, 611, 1506, 11535, 267, 670, 6185, 5919, 717, 578, 6767, 267, 595, 11482, 11482, 269, 19737, 543, 31514, 519, 2422, 540, 2885, 680, 11047, 1765, 25618, 625, 543, 6396, 3098, 282, 14502, 15015, 3143, 269, 476, 1015, 282, 594, 10135, 3041, 2969, 281, 4793, 4545, 615, 340, 267, 3127, 267, 476, 1220, 280, 563, 268, 7935, 23135, 267, 808, 12171, 5919, 1306, 17427, 267, 595, 9950, 5919, 29124, 267, 670, 2529, 5919, 4414, 5112, 267, 918, 13034, 5919, 3057, 517, 267, 808, 11482, 5919, 17588, 7322, 267, 808, 11482, 5919, 23108, 1407, 267, 595, 10611, 269, 18520, 6987, 18728, 540, 26085, 269, 12367, 661, 3712, 269, 5345, 565, 269, 476, 1001, 275, 267, 476, 3066, 267, 476, 277, 5038, 1700, 6858, 273, 563, 268, 594, 30002, 681, 3633, 700, 8780, 476, 1001, 280, 268, 736, 269, 11905, 16927, 30002, 24722, 19534, 269, 12232, 2228, 281, 630, 17739, 539, 593, 476, 1428, 4728, 476, 1708, 272, 1916, 268, 645, 1066, 22974, 267, 808, 10422, 5919, 16737, 267, 623, 12991, 269, 8177, 540, 595, 8379, 300, 312, 307, 8677, 593, 519, 4719, 4763, 540, 10568, 538, 5245, 269, 3243, 269, 808, 269, 3397, 878, 269, 1763, 269, 476, 1960, 274, 267, 476, 5392, 267, 476, 11260, 1700, 9965, 563, 268, 30709, 617, 1231, 6390, 267, 645, 6993, 5919, 966, 517, 5637, 1067, 267, 681, 5919, 4303, 1122, 267, 595, 5919, 681, 1662, 531, 267, 594, 5919, 570, 12320, 5184, 267, 590, 5919, 1284, 756, 1638, 267, 808, 269, 3955, 2241, 5311, 10956, 2079, 540, 4719, 4763, 543, 3347, 538, 16916, 24061, 540, 29735, 543, 27397, 3148, 269, 670, 1229, 26320, 476, 1220, 275, 267, 476, 1691, 267, 476, 5908, 1700, 4572, 563, 268, 7671, 601, 267, 744, 5919, 9466, 267, 589, 269, 7351, 7233, 18726, 8249, 281, 589, 11879, 2561, 26150, 282, 10228, 1299, 25153, 295, 6583, 331, 269, 3213, 12727, 1715, 16156, 267, 3127, 267, 476, 2735, 275, 563, 268, 5455, 611, 1506, 11535, 267, 670, 6185, 5919, 2107, 339, 714, 267, 681, 269, 589, 9910, 2275, 648, 4015, 585, 13830, 4763, 543, 5009, 13345, 540, 7105, 701, 320, 4719, 2200, 538, 7693, 6454, 269, 634, 528, 269, 10331, 269, 2637, 564, 269, 476, 1220, 272, 267, 476, 9083, 267, 476, 15782, 273, 1700, 15782, 279, 563, 268, 670, 879, 696, 267, 631, 5919, 5576, 13232, 267, 918, 269, 26157, 5059, 8446, 540, 10351, 680, 11047, 543, 4295, 4015, 2994, 547, 2697, 5444, 23810, 1569, 687, 585, 3844, 3864, 29704, 9960, 269, 7233, 8426, 30287, 269, 476, 1708, 271, 267, 476, 6246, 267, 476, 16318, 272, 1700, 16960, 277, 563, 268, 674, 584, 2006, 267, 645, 12282, 269, 6396, 1108, 547, 3715, 513, 12432, 4015, 281, 8865, 1353, 538, 21378, 559, 269, 7233, 2637, 564, 269, 1763, 712, 269, 476, 1220, 277, 267, 476, 275, 267, 476, 273, 1700, 1321, 563, 268, 10897, 965, 267, 2098, 5919, 3223, 3559, 267, 2098, 5919, 5484, 558, 541, 267, 589, 5919, 13852, 2378, 7288, 327, 267, 631, 5919, 2549, 686, 267, 589, 269, 21023, 633, 10886, 1436, 540, 15096, 2752, 6395, 22319, 4871, 4446, 2917, 7457, 687, 4635, 16658, 306, 543, 10724, 4804, 269, 2271, 749, 269, 30287, 269, 476, 1001, 280, 267, 476, 13199, 1700, 15782, 563, 268, 8575, 868, 539, 267, 715, 269, 1401, 32163, 267, 769, 32163, 11094, 269, 769, 15610, 540, 26085, 282, 2274, 9109, 267, 590, 6993, 1421, 3798, 5919, 14288, 4964, 281, 11062, 267, 10790, 267, 7330, 267, 476, 1220, 272, 282, 6032, 269, 476, 6924, 274, 1700, 277, 4817, 269, 9768, 476, 7818, 23713, 26297, 279, 4792, 277, 563, 268, 1403, 324, 1415, 328, 267, 715, 5919, 21411, 12929, 267, 715, 5919, 21244, 267, 772, 9950, 269, 2885, 680, 11047, 27264, 543, 31666, 566, 282, 634, 7690, 540, 16581, 4886, 1765, 288, 5623, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1432, 568, 840, 2389, 1314, 7443, 888, 3682, 7257, 1354, 3454, 630, 303, 6630, 264, 568, 513, 2268, 602, 12116, 519, 12434, 540, 513, 1870, 1354, 621, 814, 547, 2628, 9746, 4747, 3454, 269, 898, 20952, 338, 782, 9276, 689, 4747, 267, 1519, 1719, 13258, 543, 5665, 9276, 267, 609, 519, 9868, 540, 4747, 3454, 563, 3682, 7257, 1354, 3454, 630, 303, 6630, 994, 8139, 7443, 1354, 3454, 454, 303, 6630, 10905, 782, 540, 519, 2754, 779, 12434, 1354, 9204, 267, 1519, 10512, 267, 1875, 268, 6016, 1049, 267, 6024, 543, 1875, 9762, 514, 6681, 2238, 269, 623, 6630, 6818, 1317, 3454, 24723, 616, 7683, 4657, 267, 543, 11198, 532, 621, 2337, 2285, 9520, 513, 1434, 2856, 540, 875, 513, 2754, 779, 12434, 610, 12434, 723, 4957, 689, 1032, 547, 1032, 269, 634, 2165, 568, 20049, 762, 609, 968, 16118, 1354, 3454, 892, 610, 968, 16118, 1354, 3454, 892, 2676, 292, 6630, 666, 581, 9411, 538, 519, 4747, 3948, 540, 513, 2754, 269, 901, 568, 2356, 519, 3791, 547, 519, 2063, 1899, 540, 519, 4747, 3948, 1317, 519, 2034, 547, 519, 2063, 1899, 568, 519, 2698, 4747, 3454, 13258, 267, 4553, 676, 519, 2698, 2121, 4747, 3254, 2630, 563, 15612, 566, 540, 7443, 1354, 3454, 454, 303, 6630, 2882, 782, 4747, 12236, 7488, 540, 2707, 269, 901, 2882, 6455, 267, 862, 3827, 267, 3028, 8907, 543, 1719, 269, 2353, 9276, 616, 1287, 20952, 539, 609, 519, 9868, 540, 9746, 4747, 3454, 269, 769, 1840, 267, 623, 6630, 666, 581, 7229, 676, 2921, 519, 2121, 4747, 540, 606, 3919, 543, 4946, 519, 9746, 4747, 3454, 563, 8196, 6888, 540, 623, 6630, 454, 303, 6630, 568, 1360, 3730, 585, 3246, 4835, 2359, 543, 5007, 3755, 540, 2883, 1239, 609, 519, 10512, 2773, 540, 513, 1870, 269, 1635, 27195, 4747, 3454, 267, 623, 6630, 24024, 606, 3606, 4756, 602, 949, 2270, 1114, 10832, 602, 3310, 519, 2542, 540, 2883, 1239, 269, 1280, 1383, 267, 606, 2872, 666, 4324, 689, 1713, 3454, 5383, 799, 786, 723, 513, 2318, 3310, 593, 519, 2121, 7443, 540, 606, 11769, 267, 1247, 606, 11769, 16271, 547, 30369, 16642, 4507, 786, 581, 11874, 6766, 269, 634, 17594, 540, 519, 4747, 3454, 11411, 786, 1450, 513, 1732, 6476, 540, 519, 4238, 540, 891, 1079, 3549, 267, 7488, 540, 875, 3454, 4507, 5581, 741, 2164, 563, 4322, 3454, 3604, 949, 849, 2291, 9244, 1063, 4213, 267, 607, 2085, 267, 3854, 946, 543, 4087, 786, 1404, 513, 1909, 538, 519, 2179, 540, 4747, 3454, 513, 1870, 814, 547, 2628, 269, 623, 6630, 23352, 1022, 3310, 602, 513, 3454, 16278, 666, 723, 593, 513, 2754, 779, 2883, 1344, 269, 4475, 267, 623, 6630, 568, 513, 2773, 2268, 602, 6212, 593, 519, 2489, 4238, 540, 513, 1870, 269, 4014, 623, 6630, 666, 581, 1031, 547, 5635, 1022, 1870, 267, 621, 568, 1360, 3730, 950, 1031, 538, 513, 2582, 2872, 563, 303, 6630, 5288, 661, 289, 3951, 5288, 661, 289, 3951, 6395, 454, 4407, 623, 6630, 3568, 782, 9276, 4849, 4747, 3454, 267, 7443, 1354, 1719, 543, 9204, 630, 292, 289, 3951, 264, 23352, 606, 3606, 4756, 676, 27195, 1719, 13258, 269, 1452, 1079, 2157, 616, 32067, 982, 15271, 1354, 1719, 267, 9204, 267, 28595, 543, 993, 677, 1436, 630, 292, 289, 3951, 6395, 1040, 634, 1614, 9273, 798, 711, 723, 547, 581, 10294, 676, 519, 1530, 15247, 543, 16510, 8189, 630, 306, 4488, 264, 1317, 789, 16783, 609, 3622, 7608, 8051, 3741, 630, 16598, 4338, 1040, 1717, 267, 782, 1614, 1683, 513, 811, 538, 3829, 1413, 693, 513, 2754, 779, 4238, 1759, 593, 519, 5347, 1145, 540, 513, 5551, 1377, 269, 0, 303, 1112, 1005, 547, 6258, 8362, 22851, 1053, 538, 2870, 3308, 3137, 269, 1677, 979, 3564, 13156, 543, 7421, 2592, 1500, 676, 1866, 267, 11625, 1005, 547, 6258, 11363, 912, 265, 10435, 3308, 11269, 547, 2333, 1620, 540, 2257, 543, 4702, 2035, 454, 265, 1215, 3308, 2792, 666, 2087, 1344, 5385, 1063, 10459, 454, 265, 634, 2956, 540, 14379, 2257, 547, 519, 1857, 585, 519, 1985, 5108, 540, 3173, 454, 265, 589, 1007, 1935, 585, 3610, 547, 6218, 1053, 262, 8223, 540, 1585, 3741, 454, 293, 27518, 267, 5130, 476, 1240, 267, 476, 1220, 279, 454, 303, 1112, 1005, 547, 6258, 22544, 454, 1607, 15964, 594, 6415, 18188, 547, 20037, 609, 1614, 824, 590, 22849, 631, 293, 4696, 1053, 547, 7119, 538, 519, 2817, 3163, 7690, 30845, 12681, 1982, 540, 11625, 1005, 547, 6258, 269, 19672, 543, 513, 2407, 2272, 547, 1246, 269, 0, 27144, 1849, 633, 1299, 454, 32743, 10793, 3733, 1777, 517, 454, 15094, 276, 910, 7917, 1849, 633, 630, 10440, 1849, 633, 540, 3127, 264, 729, 4535, 693, 853, 344, 3832, 2282, 10369, 667, 2001, 2023, 269, 3571, 4651, 729, 513, 15818, 543, 6039, 538, 12057, 585, 1082, 1296, 267, 8204, 8053, 326, 9593, 903, 10921, 269, 1849, 633, 729, 2366, 547, 2661, 609, 1010, 3993, 781, 11078, 538, 25480, 1247, 1869, 513, 22525, 543, 729, 4080, 547, 581, 834, 719, 540, 2268, 267, 29279, 547, 8165, 8487, 15876, 275, 910, 1849, 633, 8120, 547, 1744, 549, 23137, 543, 13984, 519, 10369, 667, 2001, 2023, 18049, 3427, 267, 1141, 1010, 796, 745, 569, 2623, 19430, 1010, 4651, 547, 6494, 1864, 547, 8585, 31008, 570, 599, 331, 832, 262, 3427, 538, 5507, 269, 3571, 3983, 7180, 4797, 543, 646, 729, 1287, 2366, 547, 513, 4123, 1153, 538, 670, 1068, 5112, 28790, 547, 2347, 513, 2596, 2069, 269, 1879, 646, 729, 4587, 267, 646, 543, 513, 14228, 540, 14038, 3964, 513, 4027, 24646, 564, 602, 642, 663, 531, 2213, 519, 15945, 540, 796, 1723, 10869, 22278, 538, 10369, 667, 2001, 2023, 269, 1261, 849, 6172, 5523, 519, 13486, 540, 853, 6307, 781, 5783, 543, 829, 3481, 593, 513, 575, 1173, 1195, 548, 267, 31029, 1346, 1524, 2630, 563, 14690, 274, 910, 1849, 633, 781, 4651, 3893, 1864, 513, 2990, 607, 513, 804, 17064, 538, 519, 5101, 3127, 7577, 269, 2201, 1010, 1259, 972, 267, 519, 6928, 10443, 989, 1037, 593, 519, 5032, 540, 8478, 543, 646, 729, 1033, 7134, 972, 585, 476, 280, 3275, 1247, 18203, 941, 5645, 856, 269, 901, 13087, 1864, 547, 1451, 14082, 267, 513, 1893, 1455, 538, 2694, 540, 3127, 563, 14690, 275, 910, 1261, 6368, 8452, 693, 519, 5101, 3127, 7577, 11175, 540, 10783, 853, 269, 6723, 693, 595, 3291, 531, 648, 543, 6170, 519, 1985, 1079, 1296, 2324, 607, 606, 13930, 6300, 24010, 267, 512, 958, 532, 2835, 543, 25786, 7727, 563, 14690, 276, 1107, 634, 3703, 26010, 16091, 513, 3943, 18239, 1055, 519, 5032, 540, 3127, 543, 3323, 519, 3689, 2961, 333, 1738, 2782, 563, 14690, 277, 1107, 769, 5181, 267, 8496, 6652, 729, 9676, 676, 519, 3943, 269, 634, 3703, 7264, 941, 4280, 547, 1491, 606, 522, 987, 9621, 711, 547, 1491, 909, 7916, 1996, 519, 3943, 855, 1849, 633, 543, 513, 19625, 540, 1866, 15189, 865, 941, 6854, 896, 9856, 269, 2598, 7666, 2358, 2933, 607, 25165, 267, 1849, 633, 543, 476, 274, 1866, 23012, 543, 1500, 741, 1259, 547, 10783, 853, 269, 6424, 267, 476, 2004, 5195, 547, 519, 5045, 269, 16270, 1010, 12625, 267, 1849, 633, 21821, 539, 538, 519, 5101, 3127, 7577, 7952, 563, 14690, 278, 1107, 769, 4728, 519, 3943, 5667, 15471, 2685, 16091, 10783, 853, 6424, 543, 1849, 633, 729, 2016, 513, 10243, 607, 606, 1671, 793, 563, 14690, 279, 1107, 2311, 519, 26362, 540, 623, 1180, 545, 615, 787, 267, 1849, 633, 13747, 5128, 543, 835, 7198, 5206, 834, 5141, 633, 781, 3531, 3019, 267, 19347, 676, 1010, 17938, 677, 566, 267, 17991, 1586, 609, 1007, 10100, 543, 1390, 642, 643, 13369, 2390, 519, 10546, 2668, 1849, 633, 10483, 513, 3703, 16939, 547, 18000, 329, 648, 267, 1631, 15469, 547, 9114, 23133, 269, 898, 729, 267, 2705, 267, 729, 513, 29070, 5821, 865, 4937, 18039, 3576, 519, 3003, 575, 28207, 540, 10783, 853, 6424, 547, 18000, 329, 648, 538, 3210, 269, 2311, 519, 6830, 540, 8061, 1731, 2714, 2967, 267, 1849, 633, 26017, 476, 1789, 3703, 7980, 543, 476, 10384, 694, 335, 9081, 267, 609, 9753, 547, 1291, 519, 14213, 593, 519, 6830, 269, 634, 18000, 329, 648, 753, 14460, 519, 6830, 543, 621, 729, 1767, 602, 1849, 633, 834, 2041, 6409, 539, 538, 10100, 543, 538, 10385, 1454, 3564, 1018, 1223, 581, 4397, 689, 1010, 1296, 2668, 8496, 6652, 729, 8120, 547, 519, 3703, 538, 5412, 607, 851, 540, 513, 4708, 6876, 543, 18039, 22876, 3293, 585, 1849, 633, 513, 2990, 607, 862, 1170, 776, 693, 10783, 853, 6723, 269, 901, 729, 513, 29988, 20171, 607, 646, 4607, 862, 3827, 593, 782, 3761, 11731, 563, 11260, 271, 1107, 634, 5822, 2961, 333, 1738, 2782, 1996, 519, 3943, 3323, 855, 1849, 633, 729, 2192, 609, 513, 8401, 4524, 543, 729, 2366, 5087, 547, 19377, 547, 973, 10967, 622, 563, 11260, 272, 1107, 1849, 633, 8120, 547, 8496, 6652, 543, 8678, 606, 16939, 547, 4323, 513, 6830, 21108, 20211, 582, 269, 1849, 633, 729, 1152, 519, 862, 1170, 776, 855, 729, 856, 571, 3022, 693, 519, 3375, 547, 10205, 519, 26362, 269, 1261, 887, 1372, 547, 595, 3291, 531, 648, 543, 6035, 1010, 2533, 547, 1291, 606, 4323, 593, 20211, 582, 952, 646, 729, 2016, 513, 23071, 781, 10243, 269, 901, 729, 8815, 543, 646, 729, 2016, 476, 1220, 3864, 7980, 267, 476, 4968, 694, 335, 9081, 543, 1614, 1507, 28994, 976, 269, 634, 575, 28207, 14460, 519, 6830, 543, 1849, 633, 13026, 20211, 582, 1510, 20590, 513, 8929, 269, 3683, 519, 1985, 3018, 267, 1849, 633, 543, 1010, 2367, 4824, 519, 1219, 1878, 2094, 513, 3196, 540, 476, 275, 267, 1822, 12075, 543, 513, 1507, 20314, 550, 540, 3943, 10136, 729, 593, 922, 1259, 547, 3094, 621, 1394, 269, 1849, 633, 6707, 29846, 20211, 582, 543, 513, 1867, 1767, 834, 1862, 519, 19524, 945, 1185, 547, 2932, 519, 20237, 1862, 13195, 513, 1762, 812, 540, 2947, 543, 8938, 267, 945, 1185, 1044, 26870, 607, 513, 1433, 268, 24010, 1862, 1849, 633, 1862, 17495, 1500, 1010, 12417, 267, 543, 267, 25356, 676, 9854, 267, 1185, 16207, 5128, 593, 1010, 5127, 269, 1261, 729, 32570, 539, 676, 519, 15372, 267, 543, 729, 14678, 693, 1010, 2022, 2807, 2991, 1614, 26525, 593, 338, 1115, 267, 519, 14850, 773, 7970, 19622, 3297, 519, 546, 3558, 269, 634, 6560, 16768, 827, 606, 5662, 1862, 1492, 575, 28207, 4503, 1152, 2947, 610, 3670, 2367, 2668, 3571, 2932, 1282, 519, 26362, 1500, 1849, 633, 4583, 538, 2342, 543, 519, 11788, 10579, 267, 5261, 623, 8636, 519, 26744, 267, 4330, 1849, 633, 607, 519, 834, 515, 13273, 23899, 2489, 2668, 634, 7040, 540, 6034, 832, 540, 519, 5101, 3127, 7577, 20366, 1864, 513, 18156, 4502, 11278, 10384, 563, 11260, 274, 1107, 1849, 633, 2451, 8496, 6652, 585, 1753, 1310, 2261, 11538, 20152, 16549, 651, 569, 928, 563, 11260, 275, 910, 1849, 633, 729, 1500, 12463, 585, 519, 12397, 13665, 4232, 1084, 18664, 965, 540, 853, 7812, 781, 855, 1152, 6039, 585, 835, 1032, 563, 11260, 276, 910, 769, 5147, 267, 1849, 633, 8120, 547, 3127, 547, 957, 607, 1244, 14280, 17294, 540, 10783, 853, 6424, 269, 2201, 519, 3460, 267, 646, 4503, 513, 9645, 19539, 607, 519, 6928, 968, 291, 617, 3429, 2023, 892, 729, 20739, 22486, 267, 9561, 513, 9221, 540, 4154, 11113, 10362, 547, 1849, 633, 4502, 11278, 3451, 267, 1822, 269, 1849, 633, 729, 15469, 547, 9114, 23133, 12258, 517, 601, 538, 519, 3703, 8136, 543, 3576, 851, 538, 519, 7001, 540, 519, 28183, 693, 717, 615, 11672, 563, 11260, 277, 1107, 1849, 633, 543, 31288, 8176, 23846, 973, 2194, 3293, 2836, 12827, 3279, 543, 5950, 519, 3703, 14586, 945, 1185, 1044, 5116, 538, 513, 10751, 1591, 799, 2968, 25337, 607, 519, 4563, 670, 1961, 540, 2836, 12827, 3279, 269, 769, 588, 604, 1782, 4832, 3002, 267, 476, 11277, 540, 519, 476, 16409, 14586, 1185, 5747, 607, 513, 1267, 540, 3411, 6327, 610, 3002, 8482, 563, 11260, 278, 910, 1849, 633, 2366, 513, 18239, 909, 519, 5757, 1996, 519, 3943, 12733, 540, 25941, 2335, 26196, 267, 1247, 646, 14850, 773, 3022, 621, 676, 2244, 269, 3571, 7952, 1185, 476, 272, 267, 1911, 3864, 7980, 543, 476, 273, 267, 1911, 694, 335, 9081, 267, 609, 8370, 28994, 976, 269, 634, 10546, 1185, 476, 1240, 267, 1822, 29816, 267, 476, 2004, 267, 1822, 26462, 543, 476, 7871, 28994, 976, 6039, 676, 3943, 25044, 5443, 269, 1849, 633, 4465, 519, 6370 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 263, 13707, 299, 2421, 303, 657, 8358, 7741, 1125, 267, 3046, 318, 12296, 2676, 4449, 1363, 13672, 284, 641, 13369, 2676, 4449, 1363, 2681, 8782, 326, 22779, 4449, 1363, 6003, 8782, 315, 333, 299, 18017, 14826, 5073, 4449, 1363, 3097, 1038, 952, 1031, 292, 1553, 13853, 9131, 11901, 11172, 2652, 476, 272, 610, 711, 10865, 10574, 9131, 577, 6548, 292, 11797, 11172, 10778, 2018, 12301, 269, 8663, 263, 8161, 266, 3046, 318, 12296, 265, 274, 267, 5286, 15126, 263, 13707, 11901, 2421, 303, 657, 8358, 7741, 1125, 267, 3046, 318, 12296, 2676, 4449, 1363, 13672, 284, 641, 13369, 2676, 4449, 1363, 2681, 8782, 322, 22779, 4449, 1363, 6003, 8782, 315, 333, 11901, 14826, 5073, 1038, 3116, 912, 2018, 12301, 269, 8663, 263, 8161, 266, 3046, 318, 12296, 265, 274, 267, 5286, 15126, 263, 13707, 11901, 2421, 303, 657, 8358, 7741, 1125, 267, 3046, 318, 12296, 2676, 4449, 1363, 13672, 284, 641, 13369, 2676, 4449, 1363, 2681, 8782, 322, 22779, 4449, 1363, 6003, 8782, 11901, 630, 20123, 328, 680, 1221, 676, 1412, 1341, 1193, 263, 4310, 292, 1553, 13853, 9131, 11901, 262, 8079, 1341, 1412, 264, 10807, 2018, 454, 4449, 1363, 3097, 1038, 12301, 269, 8663, 263, 8161, 266, 3046, 318, 12296, 265, 275, 267, 5286, 15126, 263, 13707, 292, 318, 295, 12710, 2421, 303, 657, 8358, 7741, 1125, 267, 3046, 318, 12296, 2676, 4449, 1363, 13672, 284, 641, 13369, 2676, 4449, 1363, 2681, 8782, 332, 22779, 4449, 1363, 6003, 8782, 315, 333, 19465, 6052, 14826, 5073, 1038, 952, 18559, 309, 541, 9131, 18474, 710, 24342, 11172, 912, 2018, 12301, 269, 8663, 263, 8161, 266, 3046, 318, 12296, 265, 276, 267, 5286, 15126, 263, 13707, 292, 4671, 582, 2421, 303, 657, 8358, 7741, 1125, 267, 3046, 318, 12296, 2676, 23351, 13672, 284, 641, 13369, 2676, 23351, 2681, 8782, 330, 22779, 23351, 6003, 8782, 315, 333, 15187, 6052, 14826, 5073, 13872, 258, 1038, 12301, 11859, 16932, 3488, 23382, 5209, 5073, 1038, 12301, 269, 29786, 3488, 21328, 24637, 829, 18740, 9351, 14826, 262, 1341, 337, 262, 7445, 4118, 10585, 3189, 3847, 24560, 2765, 346, 330, 2662, 2410, 332, 317, 273, 20204, 4153, 2431, 316, 4151, 3299, 23935, 1125, 284, 1691, 994, 1038, 12301, 26644, 3488, 13707, 6052, 667, 2570, 1890, 593, 6513, 15613, 5073, 258, 1038, 12301, 269, 868, 6506, 263, 8161, 1341, 3046, 318, 12296, 265, 274, 267, 18011, 9953, 3299, 1412, 9953, 292, 318, 295, 12710, 3299, 1412, 9953, 292, 318, 290, 3299, 1412, 9953, 292, 318, 11901, 3299, 1412, 9953, 292, 4671, 582, 3299, 1412, 3445, 2554, 3299, 1412, 3393, 2554, 3299, 1412, 271, 2554, 29125, 1038, 12301, 269, 868, 6506, 263, 8161, 1341, 3046, 318, 12296, 265, 274, 267, 18011, 785, 1204, 1302, 14826, 9953, 574, 1242, 3299, 1412, 9953, 574, 1242, 585, 14826, 20761, 3747, 22779, 14030, 1363, 1412, 9953, 574, 1242, 585, 14826, 322, 944, 532, 3299, 1412, 9953, 574, 1242, 585, 14826, 11901, 22779, 14030, 1363, 1412, 1478, 718, 14826, 9953, 574, 1436, 3299, 1412, 325, 12089, 693, 14826, 3445, 2554, 3299, 1412, 325, 12089, 693, 14826, 3393, 2554, 3299, 3097, 14030, 1363, 1412, 325, 12089, 693, 14826, 271, 2554, 30670, 23935, 1125, 284, 1691, 994, 258, 1038, 12301, 269, 5586, 754, 10857, 665, 284, 271, 994, 1038, 1948, 1744, 8667, 1699, 7852, 676, 476, 736, 14999, 258, 1038, 4216, 815, 4949, 10947, 318, 6570, 4590, 258, 1038, 4949, 15630, 318, 6570, 8443, 7901, 11859, 271, 267, 4216, 13885, 271, 267, 4216, 9884, 5954, 2608, 476, 271, 269, 279, 267, 4216, 269, 19417, 7481, 258, 13872, 1038, 1948, 10925, 513, 10828, 547, 519, 1318, 540, 519, 1699, 7852, 454, 258, 1038, 4949, 269, 5586, 754, 10857, 665, 8782, 21639, 2451, 3299, 536, 7901, 15461, 318, 21123, 528, 14352, 272, 267, 476, 272, 269, 4962, 4917, 13872, 1038, 4949, 6745, 1157, 318, 1706, 4461, 10857, 629, 1564, 1125, 284, 1691, 994, 13872, 258, 1038, 12301, 6745, 697, 9078, 599, 719, 4590, 1038, 12301, 26942, 4590, 13872, 13872, 1038, 4949, 815, 12301, 16553, 7120, 263, 273, 267, 272, 267, 273, 994, 13872, 1038, 4994, 815, 5286, 30784, 1052, 3799, 14682, 12952, 994, 1038, 3046, 318, 12296, 815, 476, 271, 269, 1724, 28329, 1038, 1566, 13369, 815, 476, 271, 269, 275, 28329, 1038, 12301, 269, 8663, 263, 8161, 267, 5286, 15126, 263, 11795, 295, 8358, 7741, 1125, 267, 3046, 318, 12296, 2676, 4449, 1363, 13672, 284, 641, 13369, 2676, 4449, 1363, 2681, 8782, 337, 22779, 4449, 1363, 6003, 8782, 3891, 908, 5073, 13872, 1038, 12301, 269, 8663, 263, 8161, 266, 3046, 318, 12296, 267, 5286, 15126, 263, 11795, 290, 8358, 7741, 1125, 267, 3046, 318, 12296, 2676, 4449, 1363, 13672, 284, 641, 13369, 2676, 4449, 1363, 2681, 8782, 321, 22779, 4449, 1363, 6003, 8782, 290, 944, 532, 5073, 4449, 1363, 3097, 1038, 12301, 269, 8663, 263, 8161, 266, 3046, 318, 12296, 265, 273, 267, 5286, 15126, 263, 11795, 299, 8358, 7741, 1125, 267, 3046, 318, 12296, 2676, 4449, 1363, 13672, 284, 641, 13369, 2676, 4449, 1363, 2681, 8782, 326, 22779, 4449, 1363, 6003, 8782, 299, 18017, 5073, 4449, 1363, 3097, 4449, 1363, 3097, 1038, 952, 1031, 292, 1553, 13853, 9131, 11901, 11172, 2652, 476, 272, 610, 711, 10865, 10574, 9131, 577, 6548, 292, 11797, 11172, 10778, 2018, 12301, 269, 8663, 263, 8161, 266, 3046, 318, 12296, 265, 274, 267, 5286, 15126, 263, 11795, 11901, 8358, 7741, 1125, 267, 3046, 318, 12296, 2676, 4449, 1363, 13672, 284, 641, 13369, 2676, 4449, 1363, 2681, 8782, 322, 22779, 4449, 1363, 6003, 8782, 11901, 5073, 1038, 3116, 912, 2018, 12301, 269, 8663, 263, 8161, 266, 3046, 318, 12296, 265, 274, 267, 5286, 15126, 263, 11795, 11901, 8358, 7741, 1125, 267, 3046, 318, 12296, 2676, 4449, 1363, 13672, 284, 641, 13369, 2676, 4449, 1363, 2681, 8782, 322, 22779, 4449, 1363, 6003, 8782, 11901, 630, 20123, 328, 680, 1221, 676, 1412, 1341, 1193, 263, 4310, 292, 1553, 13853, 9131, 11901, 262, 8079, 1341, 1412, 264, 10807, 2018, 454, 4449, 1363, 3097, 1038, 12301, 269, 8663, 263, 8161, 266, 3046, 318, 12296, 265, 275, 267, 5286, 15126, 263, 11795, 292, 318, 295, 12710, 8358, 7741, 1125, 267, 3046, 318, 12296, 2676, 4449, 1363, 13672, 284, 641, 13369, 2676, 4449, 1363, 2681, 8782, 332, 22779, 4449, 1363, 6003, 8782, 19465, 6052, 5073, 8931, 1038, 952, 18559, 309, 541, 9131, 18474, 710, 24342, 11172, 912, 2018, 12301, 269, 8663, 263, 8161, 266, 3046, 318, 12296, 265, 276, 267, 12639, 15126, 263, 11795, 292, 4671, 582, 8358, 7741, 1125, 267, 3046, 318, 12296, 2676, 4449, 17264, 13672, 284, 641, 13369, 2676, 4449, 17264, 2681, 8782, 330, 22779, 4449, 17264, 6003, 8782, 15187, 6052, 5073, 4449, 1363, 3097, 4449, 1363, 3097, 258, 1038, 12301, 11859, 16932, 3488, 23382, 5209, 5073, 1038, 12301, 269, 29786, 3488, 21328, 16338, 829, 18740, 9351, 14826, 262, 1341, 337, 262, 7445, 4118, 10585, 3189, 3847, 24560, 2765, 346, 330, 2662, 2410, 332, 317, 273, 20204, 4153, 2431, 316, 4151, 3299, 23935, 1125, 815, 1691, 994, 1038, 12301, 26644, 3488, 13707, 6052, 16338, 547, 1473, 1204, 1302, 19630, 1242, 6513, 15613, 5073, 258, 1038, 12301, 269, 868, 6506, 263, 8161, 1341, 3046, 318, 12296, 265, 274, 267, 18011, 9953, 3299, 1412, 9953, 292, 318, 295, 12710, 3299, 1412, 9953, 292, 318, 290, 3299, 1412, 9953, 292, 318, 11901, 3299, 1412, 9953, 292, 4671, 582, 3299, 1412, 3445, 2554, 3299, 1412, 3393, 2554, 3299, 1412, 271, 2554, 29125, 1038, 12301, 269, 868, 6506, 263, 8161, 1341, 3046, 318, 12296, 265, 274, 267, 18011, 785, 1204, 1302, 14826, 9953, 574, 1242, 3299, 1412, 9953, 574, 1242, 585, 14826, 20761, 3747, 22779, 14030, 1363, 1412, 9953, 574, 1242, 585, 14826, 322, 944, 532, 3299, 1412, 9953, 574, 1242, 585, 14826, 11901, 22779, 14030, 1363, 1412, 1478, 718, 14826, 9953, 574, 1436, 3299, 1412, 325, 12089, 693, 14826, 3445, 2554, 3299, 1412, 325, 12089, 693, 14826, 3393, 2554, 3299, 3097, 14030, 1363, 1412, 325, 12089, 693, 14826, 271, 2554, 30670, 23935, 1125, 284, 1691, 994, 258, 1038, 12301, 269, 5586, 754, 10857, 665, 284, 271, 994, 1038, 1948, 1744, 8667, 1699, 7852, 676, 476, 736, 14999, 258, 1038, 4216, 815, 4949, 10947, 318, 6570, 4590, 258, 1038, 4949, 15630, 318, 6570, 8443, 7901, 11859, 271, 267, 4216, 13885, 271, 267, 4216, 9884, 5954, 2608, 476, 271, 269, 279, 267, 4216, 269, 19417, 7481, 1038, 4949, 269, 5586, 754, 10857, 665, 8782, 12294, 4099, 3299, 536, 7901, 15461, 318, 21123, 528, 14352, 271, 269, 276, 267, 910, 269, 3374, 13211, 16875, 562, 3712, 284, 277, 267, 16681, 7901, 18989, 267, 14692, 25716, 994, 1038, 1948, 10925, 513, 10828, 547, 519, 1318, 540, 519, 1699, 7852, 454, 258, 1038, 4949, 269, 5586, 754, 10857, 665, 8782, 21639, 2451, 3299, 536, 7901, 15461, 318, 21123, 528, 14352, 272, 267, 476, 272, 269, 4962, 4917, 13872, 1038, 4949, 6745, 1157, 318, 1706, 4461, 10857, 629, 1564, 1125, 284, 1691, 994, 13872, 1038, 12301, 6745, 697, 9078, 599, 719, 4590, 1038, 12301, 26942, 4590, 1038, 12301, 20481, 4590, 13872, 825, 3116, 912, 1038, 4453, 815, 7183, 28329, 825, 1948, 4688, 1239, 547, 21594, 454, 825, 1648, 318, 9953, 295, 12710, 815, 27835, 295, 9166, 670, 318, 295, 12710, 267, 1412, 290, 9166, 595, 318, 295, 12710, 267, 1412, 299, 9166, 700, 318, 295, 12710, 267, 1412, 292, 318, 295, 12710, 9166, 661, 318, 295, 12710, 318, 295, 12710, 267, 1412, 292, 4671, 582, 9166, 661, 4671, 582, 318, 295, 12710, 267, 1412, 11901, 9166, 14346, 318, 295, 12710, 8679, 825, 1648, 318, 9953, 11901, 815, 27835, 295, 9166, 670, 318, 11901, 267, 1412, 290, 9166, 595, 318, 11901, 267, 1412, 299, 9166, 700, 318, 11901, 267, 1412, 292, 318, 295, 12710, 9166, 661, 318, 295, 12710, 318, 11901, 267, 1412, 292, 4671, 582, 9166, 661, 4671, 582, 318, 11901, 267, 1412, 11901, 9166, 14346, 318, 11901, 8679, 825, 1648, 318, 641, 1777, 582, 815, 27835, 295, 9166, 670, 4671, 582, 267, 1412, 290, 9166, 595, 4671, 582, 267, 1412, 299, 9166, 700, 4671, 582, 267, 1412, 292, 318, 295, 12710, 9166, 661, 318, 295, 12710, 4671, 582, 267, 1412, 292, 4671, 582, 9166, 661, 4671, 582, 4671, 582, 267, 1412, 11901, 9166, 14346, 4671, 582, 8679, 825, 1648, 318, 3445, 815, 27835, 295, 9166, 670, 318, 3445, 267, 1412, 290, 9166, 595, 318, 3445, 267, 1412, 299, 9166, 700, 318, 3445, 267, 1412, 292, 318, 295, 12710, 9166, 661, 318, 295, 12710, 318, 3445, 267, 1412, 292, 4671, 582, 9166, 661, 4671, 582, 318, 3445, 267, 1412, 11901, 9166, 14346, 318, 3445, 8679, 825, 1648, 318, 3393, 815, 27835, 295, 9166, 670, 318, 3393, 267, 1412, 290, 9166, 595, 318, 3393, 267, 1412, 299, 9166, 700, 318, 3393, 267, 1412, 292, 318, 295, 12710, 9166, 661, 318, 295, 12710, 318, 3393, 267, 1412, 292, 4671, 582, 9166, 661, 4671, 582, 318, 3393, 267, 1412, 11901, 9166, 14346, 318, 3393, 8679, 825, 1648, 318, 271, 815, 27835, 295, 9166, 670, 318, 271, 267, 1412, 290, 9166, 595, 318, 271, 267, 1412, 299, 9166, 700, 318, 271, 267, 1412, 292, 318, 295, 12710, 9166, 661, 318, 295, 12710, 318, 271, 267, 1412, 292, 4671, 582, 9166, 661, 4671, 582, 318, 271, 267, 1412, 11901, 9166, 14346, 318, 271, 8679, 825, 4123, 4752, 318, 29798, 815, 27835, 24479, 318, 9953, 295, 12710, 9166, 1648, 318, 9953, 295, 12710, 267, 1412, 24479, 318, 9953, 11901, 9166, 24479, 318, 9953, 11901, 267, 1412, 24479, 318, 641, 1777, 582, 9166, 1648, 318, 641, 1777, 582, 267, 1412, 24479, 318, 3445, 9166, 1648, 318, 3445, 267, 1412, 24479, 318, 3393, 9166, 24479, 318, 3393, 267, 1412, 24479, 318, 271, 9166, 1648, 318, 271, 267, 10926, 825, 1948, 2132, 519, 2164, 281, 8931, 825, 2132, 4123, 4752, 318, 29798, 267, 4453, 692, 258, 11907, 13911, 8782, 24629, 569, 7055, 258, 24629, 284, 278, 454, 258, 11034, 295, 712, 284, 2641, 454, 258, 754, 295, 712, 284, 2420, 454, 16482, 258, 24834, 8266, 815, 11713, 258, 24834, 8266, 815, 1711, 21223, 1998, 8266, 16597, 13911, 267, 3923, 267, 1376, 295, 712, 267, 1439, 295, 712, 994, 1012, 454, 1012, 295, 318, 4596, 303, 12774, 815, 476, 275, 454, 1012, 295, 318, 4596, 303, 21223, 1998, 815, 476, 275, 454, 1012, 290, 318, 4596, 303, 12774, 815, 476, 274, 454, 1012, 290, 318, 4596, 303, 21223, 1998, 815, 476, 274, 454, 1012, 299, 7272, 1077, 12774, 815, 476, 1556, 269, 10619, 825, 1948, 1496, 310, 8276, 317, 273, 2639, 1012, 299, 7272, 1077 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3436, 2142, 3627, 267, 8668, 18560, 454, 285, 4790, 14688, 3478, 7125, 585, 1585, 10509, 2152, 454, 285, 2290, 1554, 267, 1205, 513, 7662, 689, 606, 8966, 4087, 910, 6079, 344, 1858, 1634, 585, 922, 26137, 11317, 454, 285, 32341, 547, 1491, 593, 4161, 267, 5397, 1524, 972, 1310, 960, 454, 285, 17372, 281, 968, 7069, 560, 673, 7464, 916, 540, 8496, 877, 2098, 601, 6767, 7536, 285, 5244, 1286, 267, 3802, 909, 547, 13675, 799, 5654, 811, 14018, 585, 19343, 982, 5604, 2679, 454, 285, 12928, 1442, 593, 7450, 267, 30870, 676, 4807, 546, 1905, 539, 538, 10477, 10077, 1407, 19101, 547, 581, 8496, 877, 2098, 601, 6767, 9887, 454, 285, 2701, 5012, 803, 998, 27452, 1396, 10689, 1811, 20898, 609, 21684, 2407, 540, 30660, 5627, 7164, 6878, 454, 285, 28651, 10278, 1107, 1200, 2306, 31183, 5604, 2230, 1141, 12627, 11084, 1694, 1985, 547, 7452, 344, 2025, 24195, 454, 285, 2701, 2798, 2509, 18376, 7193, 4092, 522, 2381, 3585, 538, 7944, 3297, 31300, 1359, 22250, 543, 12269, 540, 562, 698, 13084, 320, 8673, 454, 285, 594, 16401, 17409, 267, 3206, 713, 666, 1406, 7654, 581, 1483, 454, 285, 3399, 23235, 3390, 267, 12423, 1062, 678, 1342, 1194, 609, 18453, 454, 285, 22582, 8275, 1946, 950, 1352, 19528, 16462, 948, 14379, 1732, 609, 2048, 1492, 824, 2427, 685, 3842, 4787, 4286, 454, 285, 11512, 1135, 7019, 602, 1250, 6791, 6013, 11992, 267, 4894, 6937, 689, 1200, 3684, 454, 285, 1306, 8569, 267, 4309, 29737, 25819, 540, 3688, 1519, 13869, 3762, 267, 14848, 543, 1256, 513, 1863, 13545, 582, 2542, 8400, 630, 6518, 19599, 8761, 930, 18408, 994, 285, 10361, 1753, 24373, 2212, 855, 18507, 585, 2189, 2833, 1272, 25001, 1169, 1631, 543, 1287, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 2108, 305, 1961, 2452, 607, 3627, 267, 513, 476, 1789, 4458, 6040, 18560, 945, 1568, 607, 513, 28479, 766, 8668, 11285, 269, 3627, 2141, 9060, 5128, 538, 9642, 3871, 1247, 21338, 7218, 262, 5904, 269, 9523, 835, 540, 707, 3765, 611, 1203, 999, 607, 3627, 269, 13378, 3778, 912, 23325, 293, 531, 935, 11820, 281, 20756, 3627, 267, 1018, 781, 707, 6159, 345, 5006, 2780, 7816, 1650, 888, 24728, 10481, 2131, 281, 31800, 1695, 267, 2995, 721, 267, 812, 2336, 11990, 763, 318, 3951, 7666, 344, 281, 302, 10798, 267, 1934, 781, 835, 585, 596, 267, 621, 781, 796, 29207, 15344, 563, 23325, 293, 531, 935, 11820, 281, 2171, 2811, 782, 10772, 2336, 2237, 513, 476, 275, 2559, 6067, 550, 2169, 827, 519, 1739, 1888, 281, 3627, 781, 6159, 345, 5006, 2780, 7816, 1650, 454, 285, 2142, 3627, 267, 8668, 18560, 454, 285, 5192, 513, 1289, 547, 4368, 513, 2780, 538, 513, 7168, 695, 8014, 851, 540, 4884, 454, 285, 27336, 633, 693, 7817, 781, 1747, 454, 285, 898, 781, 513, 2618, 545, 781, 561, 1515, 16041, 609, 15693, 338, 543, 7633, 454, 285, 17610, 12459, 701, 326, 454, 285, 1849, 1304, 3081, 2780, 568, 538, 519, 25810, 454, 285, 5221, 621, 3884, 1405, 28869, 344, 2614, 2907, 454, 285, 5192, 547, 519, 25810, 454, 285, 8950, 568, 11303, 676, 22250, 543, 1651, 1619, 454, 285, 7817, 269, 1873, 325, 454, 285, 570, 5281, 856, 519, 2618, 545, 729, 1210, 621, 547, 5968, 609, 14326, 454, 285, 5689, 2264, 1102, 6479, 267, 15069, 454, 285, 11162, 1575, 20216, 324, 454, 285, 5192, 6976, 538, 13545, 582, 3556, 13220, 454, 285, 3627, 763, 318, 3951, 7666, 344, 20216, 324, 454, 285, 1175, 534, 1278, 1485, 10640, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 1684, 711, 1376, 609, 5220, 899, 476, 834, 5629, 2390, 513, 942, 257, 607, 713, 568, 513, 14703, 2022, 543, 711, 513, 3209, 267, 596, 1058, 849, 2057, 4358, 609, 5929, 5220, 899, 834, 288, 1906, 1296, 3516, 257, 610, 834, 288, 1906, 1296, 1394, 2580, 581, 3860, 269, 0, 8893, 281, 4197, 2817, 1143, 543, 31666, 7701, 998, 8466, 30767, 28787, 338, 692, 5331, 952, 707, 1655, 3659, 10393, 10645, 602, 789, 941, 2965, 707, 1279, 2000, 739, 18618, 256, 4634, 1498, 596, 1312, 1413, 1114, 543, 723, 5094, 2729, 267, 789, 31274, 602, 596, 1079, 1590, 581, 4448, 1317, 649, 782, 2097, 689, 519, 1482, 2249, 543, 2671, 1455, 1480, 7592, 269, 2755, 972, 1522, 581, 930, 5168, 547, 1018, 789, 2161, 267, 621, 3085, 1405, 1689, 519, 4641, 602, 596, 5749, 1405, 21054, 543, 1810, 1405, 2671, 513, 2189, 6125, 3564, 1373, 8284, 3425, 780, 3086, 1577, 781, 1491, 713, 1523, 543, 4019, 621, 547, 6082, 910, 2516, 540, 1004, 609, 3838, 1686, 267, 2528, 267, 1893, 267, 610, 8513, 269, 6884, 3401, 3409, 602, 835, 4182, 568, 5702, 5532, 547, 1776, 950, 1082, 4966, 10990, 269, 1452, 6811, 666, 1291, 547, 21390, 267, 13253, 267, 543, 1256, 7526, 1063, 2477, 269, 2334, 6770, 721, 547, 938, 1292, 2243, 2221, 281, 1215, 666, 649, 5659, 3084, 2065, 6811, 899, 891, 543, 10646, 5013, 689, 5708, 2496, 5575, 267, 1577, 781, 1174, 1018, 18541, 1797, 269, 15439, 2322, 267, 18541, 568, 606, 16809, 1141, 1004, 1745, 2178, 14017, 2509, 741, 2197, 610, 4182, 269, 1358, 3494, 602, 741, 4182, 814, 2189, 7907, 602, 1305, 873, 6306, 689, 1866, 269, 1717, 267, 3006, 2797, 3401, 946, 18541, 607, 606, 28195, 547, 17854, 5739, 3527, 1996, 15231, 2477, 610, 12102, 2950, 1369, 741, 10665, 780, 1103, 1931, 547, 25559, 22801, 3084, 2065, 6811, 267, 2565, 3206, 543, 1249, 19295, 9535, 1983, 616, 1898, 2645, 269, 2913, 781, 2263, 875, 649, 666, 4983, 971, 6811, 1210, 2947, 2241, 3268, 1384, 272, 269, 10576, 1883, 2798, 543, 10054, 1500, 538, 519, 3409, 269, 1280, 1383, 267, 1281, 519, 6205, 8044, 602, 1978, 11182, 4866, 1927, 1813, 547, 2686, 10486, 610, 8978, 13218, 286, 16505, 1524, 1950, 7440, 883, 4130, 4773, 865, 602, 1142, 851, 3587, 4443, 547, 6218, 563, 273, 269, 6744, 2436, 1022, 2963, 7028, 519, 6811, 269, 6733, 585, 6325, 2959, 267, 4081, 1382, 267, 610, 4274, 8369, 602, 1394, 909, 519, 7682, 687, 269, 2142, 18762, 540, 22269, 1790, 17673, 1344, 2966, 1152, 547, 6961, 519, 4661, 1318, 1247, 24937, 17591, 532, 1239, 563, 274, 269, 21302, 1761, 12886, 1851, 519, 2959, 31570, 269, 6333, 2436, 519, 4589, 949, 723, 2123, 18144, 610, 989, 31789, 3297, 5009, 1808, 5784, 269, 6554, 8387, 1419, 1616, 547, 24772, 1489, 693, 1753, 610, 31818, 3007, 689, 6469, 2042, 563, 275, 269, 25826, 4244, 5380, 543, 17804, 16752, 269, 31385, 875, 5640, 267, 12206, 267, 543, 8723, 4961, 1294, 1919, 8335, 269, 1635, 1620, 1585, 5011, 540, 519, 1650, 267, 649, 1831, 1732, 9280, 547, 9794, 519, 14496, 540, 6811, 563, 276, 269, 9484, 26147, 4664, 689, 6662, 2079, 269, 32425, 622, 4606, 4724, 835, 781, 4182, 12582, 1405, 6531, 10385, 936, 519, 6111, 540, 513, 1880, 3409, 269, 5901, 513, 2635, 3845, 14156, 547, 3251, 5059, 593, 10442, 519, 5013, 780, 4131, 781, 2015, 513, 19858, 9183, 5473, 1079, 14070, 7489, 2477, 267, 661, 4135, 1872, 3757, 807, 543, 10609, 11939, 1633, 269, 14597, 661, 4135, 1872, 3757, 807, 781, 7022, 13187, 602, 1010, 2197, 8843, 2620, 3140, 7554, 609, 10609, 11939, 1633, 1759, 593, 3504, 4123, 11507, 8220, 873, 5553, 3516, 269, 16792, 938, 1249, 19295, 9535, 4640, 267, 649, 1131, 1384, 272, 269, 8074, 519, 13429, 540, 3838, 6561, 1813, 547, 2250, 2804, 4205, 563, 273, 269, 3194, 519, 6228, 543, 4644, 540, 2025, 9467, 6402, 563, 274, 269, 8178, 2009, 24500, 3297, 10771, 713, 4276, 1631, 1107, 5310, 5275, 2200, 610, 3843, 547, 6521, 1445, 2476, 689, 4835, 2152, 563, 275, 269, 5530, 15852, 9739, 945, 1589, 6382, 267, 1519, 2413, 18318, 6031, 1870, 3347, 1810, 1405, 1226, 622, 547, 6803, 25505, 563, 276, 269, 3816, 664, 31717, 5103, 13348, 5328, 27742, 267, 4180, 4023, 4879, 2864, 982, 9420, 569, 3858, 532, 609, 519, 4013, 18879, 780, 3528, 8026, 891, 10763, 2553, 267, 1647, 1153, 1053, 786, 2744, 3407, 2565, 3206, 1983, 2556, 547, 6330, 1950, 3084, 2065, 9840, 2429, 1686, 543, 1472, 519, 1158, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 4002, 519, 824, 2427, 540, 30922, 781, 6013, 454, 1607, 568, 513, 15321, 11036, 538, 799, 476, 1789, 4830, 1249, 27902, 619, 267, 19767, 543, 15628, 9916, 538, 1469, 32157, 30922, 781, 2376, 834, 4002, 519, 3140, 9322, 540, 28592, 543, 19678, 2103, 257, 543, 13761, 621, 585, 535, 1389, 543, 6354, 2827, 563, 2399, 2638, 619, 267, 19767, 2676, 2006, 760, 11494, 519, 4513, 27661, 30161, 7134, 538, 1469, 454, 265, 2368, 519, 4513, 8659, 12879, 543, 6013, 454, 20684, 676, 519, 5518, 540, 519, 6739, 18966, 454, 1607, 568, 4986, 811, 982, 513, 1505, 540, 6739, 18259, 827, 12907, 269, 32157, 30922, 630, 663, 1346, 945, 5423, 713, 1570, 264, 1031, 519, 2898, 19070, 531, 540, 6354, 2827, 281, 10703, 531, 618, 540, 5013, 267, 18839, 540, 2035, 267, 21458, 267, 7301, 4296, 267, 7301, 12746, 625, 267, 7301, 12496, 267, 9029, 547, 741, 1378, 17720, 2055, 267, 13346, 8561, 267, 9256, 5168, 543, 7301, 3125, 267, 30739, 6013, 269, 901, 568, 711, 519, 2898, 1592, 540, 4066, 602, 948, 519, 26490, 528, 2197, 547, 2936, 922, 18259, 6386, 269, 3509, 519, 4513, 798, 711, 2270, 5013, 543, 616, 1175, 606, 796, 2889, 1597, 9114, 1701, 780, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 25886, 1315, 5607, 1315, 4937, 1315, 2817, 626, 28073, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 3848, 476, 278, 281, 18903, 6206, 4580, 5071, 12472, 692, 1103, 519, 7706, 540, 2123, 7384, 267, 11197, 781, 5839, 842, 9655, 1899, 814, 9846, 14593, 519, 6302, 540, 5647, 543, 1374, 269, 2290, 971, 1569, 800, 602, 814, 22734, 1713, 4720, 568, 519, 18903, 6206, 4580, 269, 901, 3184, 786, 5490, 883, 519, 1686, 267, 1646, 267, 543, 1764, 540, 519, 18903, 6206, 4580, 267, 4481, 3695, 875, 621, 9927, 519, 3593, 1995, 585, 27317, 5411, 998, 519, 4367, 540, 519, 18903, 6206, 4580, 585, 27317, 780, 278, 269, 272, 17959, 540, 519, 18903, 6206, 4580, 692, 6524, 7234, 519, 18903, 6206, 4580, 585, 27317, 267, 1577, 721, 13713, 30603, 519, 8129, 540, 519, 18903, 6206, 4580, 1369, 519, 2796, 540, 5839, 842, 9655, 5904, 269, 13823, 1027, 7620, 7258, 519, 1775, 21547, 630, 14303, 2088, 476, 276, 298, 267, 476, 2767, 20878, 267, 17623, 476, 1001, 276, 264, 2203, 267, 519, 18903, 6206, 4580, 729, 2966, 547, 9148, 11197, 781, 12616, 5117, 1247, 5356, 4824, 10342, 3379, 547, 3105, 13691, 17008, 269, 4706, 31933, 9043, 267, 15568, 1883, 7271, 267, 543, 15774, 5610, 609, 5672, 5308, 941, 1558, 609, 17192, 689, 1312, 13915, 543, 3755, 7567, 780, 278, 269, 273, 20710, 3101, 4813, 11790, 281, 634, 18903, 6206, 4580, 585, 27317, 692, 19465, 2390, 519, 1967, 540, 519, 3312, 18903, 6206, 4580, 267, 11197, 9450, 922, 3914, 3564, 2757, 18376, 1305, 5725, 543, 5887, 3293, 883, 8513, 2899, 11603, 9003, 585, 14342, 9789, 5985, 29683, 269, 769, 4728, 476, 1708, 271, 267, 11197, 30792, 519, 18903, 6206, 4580, 585, 27317, 267, 16287, 513, 7432, 1448, 538, 519, 19427 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1477, 7386, 834, 32156, 834, 1341, 1193, 263, 16651, 264, 1341, 834, 262, 338, 12414, 269, 9373, 513, 1297, 689, 476, 272, 547, 476, 278, 269, 9373, 1422, 257, 1410, 527, 315, 257, 547, 16718, 26142, 333, 14744, 3546, 952, 5569, 17750, 2652, 834, 1410, 527, 257, 6769, 7386, 2132, 1477, 3546, 3593, 17750, 815, 859, 531, 30415, 17750, 3418, 3546, 952, 3593, 17750, 910, 476, 272, 3436, 476, 277, 610, 3593, 17750, 910, 476, 272, 2999, 476, 271, 6769, 7386, 1820, 29033, 267, 1439, 6889, 315, 333, 14744, 7386, 1820, 2891, 10831, 856, 540, 16186, 14744, 3546, 3116, 6769, 7386, 4570, 17750, 815, 6936, 1477, 2018, 4849, 6769, 3546, 1820, 29033, 267, 1439, 6889, 315, 333, 14744, 3546, 1820, 2891, 1103, 20777, 10886, 9980, 1229, 257, 10142, 1038, 9337, 14067, 9850, 815, 7696, 7272, 19991, 263, 16651, 267, 3593, 17750, 910, 476, 272, 3418, 1038, 6345, 815, 9337, 14067, 9850, 314, 272, 15947, 1038, 3014, 318, 517, 815, 9337, 14067, 9850, 314, 271, 15947, 825, 1820, 29033, 267, 1439, 6889, 315, 333, 14744, 825, 4688, 24342, 14052, 5897, 6112, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 825, 3014, 263, 16651, 267, 3014, 318, 517, 3418, 825, 3593, 17750, 815, 3403, 2891, 6124, 10794, 286, 630, 312, 21610, 2567, 834, 1040, 12294, 14052, 825, 1247, 3593, 17750, 711, 538, 18358, 344, 3299, 1412, 333, 11172, 6769, 1038, 3593, 17750, 815, 1193, 9272, 2891, 1103, 20777, 13786, 269, 7490, 4283, 962, 610, 715, 281, 1422, 333, 8442, 3418, 825, 952, 3593, 17750, 2652, 1412, 333, 262, 6769, 1038, 2736, 1477, 825, 4604, 815, 5286, 25910, 9230, 277, 267, 476, 278, 17903, 825, 3014, 318, 517, 815, 6936, 1477, 825, 6345, 815, 476, 272, 1477, 825, 4773, 18425, 318, 4580, 815, 476, 271, 1477 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 693, 519, 1482, 942, 4227, 14700, 1981, 543, 13830, 3327, 563, 4263, 519, 1376, 540, 713, 1032, 519, 10980, 7142, 1082, 6705, 540, 782, 2010, 547, 11125, 622, 547, 4688, 741, 7031, 269, 1809, 5214, 25210, 1031, 2484, 1447, 1216, 269, 7054, 3419, 566, 568, 7199, 543, 6671, 6705, 945, 849, 7048, 593, 14427, 3114, 6992, 23924, 547, 5818, 11729, 3068, 513, 5595, 2883, 25837, 269, 18391, 1310, 519, 3037, 568, 4105, 585, 6668, 540, 519, 2872, 269, 0, 763, 5565, 6261, 2002, 774, 11611, 454, 4785, 291, 5769, 11576, 566, 1299, 32185, 12524, 454, 7212, 3425, 7048, 8185, 593, 519, 2631, 540, 5075, 547, 3713, 543, 5431, 3615, 267, 519, 2631, 540, 5905, 568, 849, 1360, 1271, 269, 25291, 666, 1683, 1344, 827, 606, 1843, 267, 971, 607, 2627, 9403, 267, 602, 568, 711, 3362, 3713, 762, 676, 5075, 269, 25291, 2833, 616, 15427, 676, 7344, 19717, 540, 519, 2960, 3812, 676, 2168, 3346, 609, 606, 1843, 269, 634, 1480, 2960, 3568, 2964, 648, 1061, 832, 267, 610, 13364, 602, 616, 6213, 547, 7344, 2604, 610, 22636, 540, 519, 2960, 269, 1717, 267, 519, 5834, 540, 2964, 648, 1061, 832, 1369, 519, 2960, 568, 711, 7833, 269, 13298, 267, 519, 3810, 6213, 2127, 540, 2960, 267, 971, 607, 519, 17534, 543, 31840, 267, 2270, 29822, 14095, 2964, 648, 1061, 832, 267, 1247, 1202, 17567, 2127, 267, 971, 607, 519, 7181, 543, 1394, 267, 2270, 2539, 9830, 540, 2964, 648, 1061, 832, 269, 2859, 6213, 2127, 540, 519, 2960, 849, 1788, 547, 513, 3677, 8167, 540, 519, 1474, 520, 657, 29022, 16794, 982, 1447, 6213, 2127, 269, 4935, 267, 519, 1858, 540, 519, 2634, 799, 11392, 5905, 17915, 630, 1721, 1383, 267, 689, 519, 29327, 760, 264, 568, 14354, 547, 519, 4890, 8417, 540, 519, 2960, 1858, 563, 307, 13224, 1035, 8462, 568, 15007, 958, 6027, 1210, 519, 1079, 15304, 12939, 1449, 269, 634, 2596, 2243, 568, 713, 281, 1215, 2484, 6306, 798, 1079, 5094, 2798, 991, 547, 581, 1354, 789, 616, 9228, 607, 1079, 2798, 2864, 982, 835, 286, 769, 713, 4603, 649, 786, 1449, 519, 8417, 540, 2947, 5094, 2127, 540, 519, 2960, 281, 519, 14950, 540, 519, 1647, 9416, 267, 519, 24725, 630, 528, 19758, 728, 264, 540, 519, 1647, 9416, 267, 519, 1394, 540, 519, 1688, 267, 519, 2062, 1301, 267, 543, 5580, 6186, 269, 10670, 519, 4603, 676, 8108, 513, 476, 273, 1268, 2319, 269, 8921, 267, 6430, 945, 786, 798, 519, 4152, 543, 945, 786, 581, 519, 16045, 269, 634, 1268, 6074, 547, 581, 519, 4603, 518, 786, 2253, 676, 26215, 908, 519, 1449, 17102, 630, 534, 28253, 476, 273, 15304, 1608, 23803, 264, 547, 513, 954, 15304, 7934, 2450, 540, 476, 272, 6515, 630, 6748, 513, 14610, 1916, 3849, 3286, 762, 476, 273, 15304, 1608, 23803, 454, 9359, 609, 519, 29327, 760, 543, 1287, 3136, 998, 519, 2947, 4152, 2127, 1210, 513, 7934, 2450, 540, 476, 272, 7825, 269, 2991, 4152, 1142, 1858, 2594, 2436, 519, 16045, 6544, 1161, 835, 610, 1079, 2798, 593, 519, 2960, 2627, 269, 4495, 596, 723, 7318, 782, 2947, 2127, 693, 476, 272, 7825, 540, 9668, 630, 663, 2594, 519, 6114, 264, 8399, 547, 1449, 782, 2947, 2127, 538, 519, 1482, 5311, 693, 519, 1739, 1213, 906, 281, 476, 273, 7825, 267, 476, 274, 7825, 267, 476, 275, 7825, 267, 476, 276, 7825, 267, 476, 1015, 7825, 267, 476, 1428, 7825, 267, 476, 736, 7825, 267, 476, 1839, 7825, 267, 543, 476, 1789, 7825, 269, 2142, 2386, 547, 2594, 519, 2179, 540, 9668, 543, 2436, 519, 16045, 666, 13498, 1079, 5094, 2798, 269, 4495, 519, 16045, 814, 9228, 1079, 2798, 593, 1079, 15654, 8062, 1745, 1863, 547, 18178, 602, 4152, 1858, 267, 543, 946, 519, 476, 272, 560, 1079, 15304, 27261, 607, 519, 12939, 1871, 269, 1280, 1383, 267, 952, 593, 519, 1394, 540, 519, 1688, 519, 16045, 7959, 1079, 2798, 693, 476, 1015, 7825, 543, 476, 1428, 7825, 267, 946, 476, 1015, 7825, 607, 519, 12939, 269, 1160, 3865, 998, 519, 6967, 1213, 906, 2394, 519, 16045, 666, 1745, 1079, 5094, 2798, 593, 1142, 540, 519, 2947, 4152, 2127, 563, 19064, 611, 540, 5664, 674, 5424, 2008, 347, 12988, 540, 5664, 674, 5424, 2008, 347, 12988, 540, 7435, 2008, 272, 269, 1548, 568, 519, 4830, 4756, 888, 273, 269, 1548, 568, 519, 8200, 4756, 888, 274, 269, 1548, 729, 519, 2618, 26491, 1505, 1031, 538, 713, 4603, 888, 275, 269, 18140, 707, 12939, 607, 513, 1599, 540, 519, 7318, 1858, 563, 276, 269, 1548, 568, 519, 2078, 1063, 519, 1079, 15304, 12939, 543, 519, 7318, 1858, 286, 4208, 568, 713, 865, 888, 347, 17843, 4525, 540, 519, 1474, 520, 657, 29022, 16794, 1184, 28241, 1344, 689, 1114, 2694, 540, 519, 1560, 267, 609, 891, 4525, 8108, 513, 834, 14090, 257, 540, 519, 1560, 2627, 593, 519, 9729, 673, 2627, 269, 769, 2489, 267, 519, 811, 16794, 6131, 547, 513, 1560, 2627, 267, 519, 3152, 519, 8417, 540, 602, 3148, 630, 7922, 820, 1299, 1530, 330, 17526, 267, 476, 1220, 277, 1040, 1475, 2026, 2938, 538, 519, 11576, 800, 13067, 684, 1529, 639, 267, 513, 25409, 1804, 4320, 540, 9729, 673, 5160, 568, 13991, 547, 1978, 2694, 540, 519, 1560, 971, 607, 519, 3946, 543, 5023, 630, 7922, 820, 1299, 1530, 330, 17526, 267, 476, 1220, 277, 1040, 2008, 24248, 6301, 8525, 910, 7905, 590, 2151, 828, 781, 5851, 8525, 910, 19881, 8525, 0, 2005, 779, 2629, 602, 596, 2995, 707, 13382, 827, 782, 707, 2589, 267, 711, 1175, 519, 3283, 602, 596, 1589, 616, 1271, 269, 1403, 596, 3494, 707, 4576, 568, 1945, 5906, 267, 596, 1522, 1256, 5884, 689, 4250, 269, 898, 568, 1898, 547, 1416, 585, 6000, 543, 1287, 1491, 1416, 540, 938, 2550, 563, 301, 2720, 532, 7869, 16711, 568, 513, 2370, 1114, 689, 1034, 1072, 13282, 22825, 538, 621, 779, 3069, 1759, 269, 16711, 7869, 16711, 568, 513, 2370, 1114, 689, 1034, 1072, 13282, 22825, 607, 621, 779, 3069, 1759, 269, 898, 949, 849, 581, 4294, 547, 5870, 519, 6662, 547, 1628, 2994, 547, 4308, 609, 519, 3390, 540, 8808, 17732, 563, 6097, 547, 3751, 267, 519, 2832, 540, 519, 12016, 568, 547, 4217, 2550, 2226, 1072, 865, 602, 789, 666, 1599, 538, 741, 2189, 5107, 269, 1677, 14183, 519, 4170, 540, 2550, 543, 741, 3885, 267, 621, 1590, 581, 8200, 2390, 1699, 1382, 543, 519, 3501, 2963, 269, 5502, 540, 5883, 1808, 2621, 543, 1373, 5114, 776, 547, 3461, 1416, 267, 789, 2253, 547, 8275, 602, 789, 666, 1831, 14942, 609, 1978, 3344, 540, 1416, 607, 1134, 563, 763, 5748, 585, 519, 3069, 568, 3833, 2312, 267, 543, 23141, 540, 519, 1367, 568, 519, 3490, 585, 8808, 1416, 8726, 519, 25896, 269, 5940, 3307, 8677, 540, 6436, 1223, 7654, 581, 6964, 676, 11923, 3843, 547, 1353, 519, 4493, 540, 8808, 2259, 269, 3690, 322, 11857, 3069, 729, 2813, 547, 2285, 8808, 1416, 538, 513, 11455, 543, 9488, 1935, 563, 30144, 3156, 540, 15520, 1759, 1416, 5000, 519, 8171, 540, 519, 1367, 269, 595, 2130, 729, 4857, 607, 513, 1713, 851, 8808, 543, 568, 519, 3483, 540, 519, 9015, 563, 763, 2561, 7002, 540, 9835, 28636, 538, 16711, 454, 299, 1168, 514, 779, 2203, 1373, 2864, 2241, 1522, 711, 581, 5078, 585, 519, 1459, 6521, 538, 519, 2872, 1158, 1100, 2339, 875, 519, 4909, 25246, 540, 1689, 568, 972, 269, 5291, 2517, 4178, 269, 987, 2280, 923, 269, 1186, 340, 12975, 270, 10705, 6436, 1020, 936, 942, 267, 799, 1419, 1797, 596, 949, 3605, 513, 3099, 540, 23200, 269, 1548, 713, 3069, 3081, 568, 602, 5079, 723, 547, 581, 2966, 538, 971, 513, 6073, 602, 621, 949, 581, 13988, 609, 519, 1259, 602, 1004, 1589, 543, 3442, 563, 1805, 641, 676, 519, 19325, 596, 13890, 547, 10018, 602, 519, 1788, 568, 593, 6578, 543, 538, 942, 269, 1677, 1376, 1022, 14762, 1689, 5650, 267, 596, 723, 547, 1101, 1376, 676, 1620, 1946, 519, 1689, 1590, 1491, 1747, 269, 1548, 779, 1271, 568, 875, 649, 4383, 519, 1689, 547, 1265, 519, 1034, 856, 540, 621, 563, 2690, 3236, 267, 519, 1279, 3856, 3804, 949, 581, 547, 16102, 513, 4182, 779, 1453, 269, 4475, 267, 596, 1522, 1964, 21407, 707, 2165, 1957, 3028, 568, 2469, 547, 581, 9447, 676, 1797, 540, 513, 605, 269, 1411, 666, 4309, 519, 4998, 1603, 948, 952, 596, 2461, 5423, 547, 7387, 856, 942, 547, 4584, 519, 4998, 3028, 8502, 563, 32452, 267, 972, 616, 6266, 540, 1004, 1934, 269, 32341, 593, 1346, 602, 1655, 9290, 519, 1689, 596, 2461, 12394, 547, 3142, 827, 269, 769, 1114, 6082, 267, 519, 3390, 11392, 513, 17512, 881, 4308, 811, 6531, 539, 543, 7294, 563, 5804, 840, 4186, 6374, 566, 547, 31658, 267, 519, 1268, 10953, 606, 20882, 547, 1689, 513, 7180, 269, 5637, 2099, 6986, 5686, 540, 2528, 269, 12846, 267, 789, 666, 2760, 581, 4628, 8810, 563, 288, 20438, 547, 2611, 538, 2247, 568, 28928, 269, 1548, 779, 811, 267, 1810, 1406, 7340, 602, 621, 779, 2009, 547, 2307, 513, 7172, 4115, 585, 1489, 269, 1411, 2461, 6031, 267, 594, 1616, 513, 812, 547, 17492, 1250, 1557, 563, 13295, 267, 519, 3069, 8813, 538, 519, 1362, 540, 6264, 3069, 269, 4746, 267, 4587, 6436, 5749, 1406, 4625, 28572, 269, 4935, 513, 14323, 6264, 3069, 568, 10567, 547, 4431, 16839, 540, 519, 1158, 891, 2395, 563, 763, 17023, 18266, 6168, 9835, 28636, 538, 16711, 454, 2467, 616, 476, 274, 2010, 540, 519, 2462, 1062, 269, 634, 1739, 616, 513, 1906, 540, 519, 6574, 2994, 543, 4485, 547, 2936, 1689, 7245, 269, 589, 1114, 1259, 547, 2638, 693, 1480, 1646, 568, 676, 1797, 540, 5042, 1646, 6436, 563, 763, 476, 273, 526, 1883, 2243, 568, 519, 1259, 519, 4835, 4058, 543, 8989, 3889, 1616, 547, 1689, 547, 581, 1978, 602, 6940, 568, 9290, 2406, 2808, 538, 1022, 3375, 1500, 269, 5015, 267, 2152, 2404, 609, 10721, 1919, 602, 1522, 711, 723, 1044, 14013, 9619, 949, 849, 1118, 6388, 28336, 269, 1411, 1522, 711, 2842, 909, 3478, 513, 3069, 602, 6941, 1018, 779, 6209, 547, 519, 5171, 5883, 606, 3390, 267, 855, 596, 2461, 2469, 547, 581, 5402, 11461, 998, 519, 1382, 1935, 563, 288, 28285, 1698, 7723, 1788, 568, 2556, 585, 22692, 269, 2991, 11264, 519, 1982, 267, 596, 3580, 581, 14718, 543, 5423, 585, 519, 715, 289, 13612, 19609, 532, 981, 269, 634, 1034, 2487, 5718, 5759, 563, 2252, 519, 2164, 540, 519, 1689, 1788, 568, 6603, 267, 1287, 596, 666, 1711, 707, 1689, 8628, 269, 23840, 5194, 2487, 1788, 7012, 1406, 3833, 865, 4674, 1652, 269, 898, 7012, 1406, 3833, 865, 2241, 563, 10387, 3508, 1125, 267, 1317, 596, 798, 865, 267, 676, 1018, 1797, 519, 3919, 543, 922, 5520, 6450, 15903, 269, 898, 779, 4061, 4626, 601, 1512, 547, 9784, 1689, 519, 4090, 621, 5526, 2556, 547, 606, 3919, 269, 1703, 616, 9757, 7516, 8246, 538, 519, 4879, 540, 2528, 538, 513, 6109, 269, 0, 763, 1507, 9240, 7174, 538, 519, 927, 1460, 849, 4196, 607, 4027, 267, 3246, 8766, 2230, 585, 11476, 547, 8936, 269, 634, 9436, 748, 13279, 616, 6675, 2901, 1572, 1625, 1149, 610, 7510, 3234, 573, 1149, 269, 19549, 267, 579, 2350, 559, 666, 849, 1205, 10736, 610, 8719, 676, 11118, 27343, 18490, 547, 13592, 269, 1520, 523, 710, 543, 1368, 29516, 616, 1625, 710, 13279, 6466, 11118, 27343, 543, 555, 2096, 710, 616, 7510, 3234, 26593, 13279, 269, 11412, 4405, 566, 1310, 13621, 568, 3500, 269, 634, 22449, 568, 849, 5705, 569, 1114, 267, 1498, 922, 1799, 1468, 547, 519, 16606, 1184, 269, 23305, 17972, 645, 27322, 5595, 927, 1460, 563, 308, 2350, 559, 15320, 689, 555, 2096, 710, 538, 602, 621, 19330, 593, 922, 8258, 269, 13242, 547, 4483, 519, 4719, 3009, 689, 519, 13540, 547, 519, 10775, 22199, 547, 1118, 5946, 269, 2142, 2386, 547, 6003, 519, 476, 276, 390, 373, 543, 476, 274, 390, 373, 7475, 540, 519, 11140, 596, 2721, 269, 901, 1419, 3340, 519, 4527, 540, 513, 476, 274, 262, 1439, 585, 519, 29920, 11747, 547, 12622, 547, 1354, 10282, 666, 2253, 269, 5272, 1305, 540, 1614, 22951, 1938, 14687, 547, 513, 1808, 11254, 3679, 11254, 7408, 616, 519, 2679, 7161, 540, 5946, 563, 763, 5114, 4386, 476, 13040, 2053, 5488, 950, 602, 11747, 568, 1459, 269, 25906, 846, 3568, 1079, 679, 21468, 12002, 281, 667, 268, 1026, 846, 543, 700, 268, 1026, 846, 269, 6258, 811, 827 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 12585, 547, 7726, 1948, 276, 3374, 276, 538, 17667, 11061, 585, 1665, 454, 763, 4070, 2754, 16245, 532, 519, 7293, 5374, 3544, 540, 519, 7502, 1512, 8490, 1223, 5732, 723, 7063, 2049, 547, 922, 4600, 269, 634, 7293, 5374, 568, 24850, 676, 513, 31219, 543, 4600, 949, 581, 2324, 593, 2666, 1377, 616, 693, 15038, 547, 1921, 519, 1114, 4773, 269, 5903, 693, 2547, 476, 274, 2596, 8009, 2010, 630, 5228, 519, 476, 1556, 2596, 2010, 540, 10913, 649, 5941, 264, 602, 1223, 2049, 593, 713, 2816, 543, 2491, 875, 519, 5945, 1223, 2049, 563, 2690, 835, 540, 519, 8009, 2010, 596, 7396, 538, 1966, 476, 278, 267, 1711, 513, 10257, 1463, 2014, 267, 9940, 2014, 267, 543, 2596, 2014, 585, 519, 5945, 269, 0, 14483, 22604, 538, 5101, 2717, 2106, 14198, 16690, 1436, 3194, 269, 4750, 540, 519, 2717, 2106, 14198, 5980, 454, 306, 869, 4425, 1846, 689, 3624, 281, 12983, 538, 519, 840, 20931, 540, 21475, 6261, 6680, 1530, 2378, 2130, 269, 769, 5101, 540, 28615, 779, 7412, 281, 5525, 540, 12815, 543, 10558, 31845, 27639, 540, 519, 21475, 6261, 6680, 16323, 267, 12995, 676, 590, 269, 744, 685, 3519, 24335, 543, 623, 269, 966, 996, 267, 6032, 269, 476, 1724, 1700, 2004, 269, 7195, 651, 2742, 267, 15585, 614, 17043, 563, 307, 578, 1841, 519, 8325, 7736, 281, 634, 4813, 543, 13437, 540, 2776, 18856, 2717, 2106, 14198, 30576, 1645, 2052, 3996, 269, 769, 7414, 476, 1220, 271, 281, 18619, 540, 519, 25004, 4139, 10554, 593, 14914, 6816, 543, 519, 7414, 267, 12995, 676, 18332, 631, 269, 21862, 21672, 267, 11908, 10557, 267, 543, 674, 12282, 269, 5651, 514, 267, 6032, 269, 476, 3066, 1700, 4391, 269, 634, 14914, 6816, 7690, 267, 11968, 14642, 657, 563, 293, 320, 26915, 7502, 8985, 267, 23721, 7827, 543, 5590, 25557, 3778, 538, 22647, 7909, 807, 269, 2622, 26337, 454, 22873, 658, 5274, 2598, 11825, 531, 538, 22647, 7909, 807, 281, 23694, 543, 19247, 269, 769, 7414, 26337, 281, 8178, 906, 543, 18370, 11072, 267, 12995, 676, 2441, 641, 515, 9995, 269, 2274, 595, 1695, 4536, 632, 561, 685, 19425, 2801, 860, 773, 679, 715, 537, 767, 548, 4211, 4705, 517, 773, 476, 1428, 281, 10170, 1700, 10019, 563, 4462, 577, 14975, 27347, 281, 16690, 1436, 540, 22647, 7909, 807, 269, 769, 16690, 1436, 540, 1133, 325, 13399, 23721, 267, 12995, 676, 3057, 1097, 9412, 2006, 543, 6276, 853, 2465, 548, 267, 6032, 269, 476, 15433, 1700, 6245, 269, 30296, 267, 5507, 563, 4517, 3205, 267, 19158, 3326, 267, 543, 16429, 9369, 267, 962, 657, 8811, 27323, 454, 6124, 30521, 22932, 12698, 540, 16690, 1436, 26317, 538, 5101, 2717, 29498, 807, 269, 7489, 21126, 454, 4517, 3205, 267, 19158, 3326, 267, 543, 13019, 1794, 11867, 267, 570, 6033, 340, 454, 290, 7614, 4084, 540, 808, 14137, 543, 962, 599, 16211, 674, 5109, 717, 792, 538, 5545, 26888, 269, 1133, 335, 21242, 12377, 267, 8241, 2817, 2160, 563, 4517, 3205, 267, 19158, 3326, 267, 932, 1952, 749, 267, 3627, 267, 717, 12298, 267, 7812, 267, 543, 717, 17311, 267, 9400, 454, 7093, 18856, 31845, 24779, 538, 519, 7414, 10195, 281, 1323, 29138, 540, 661, 10064, 302, 1280, 1424, 269, 634, 4591, 18152, 454, 6635, 333, 1245, 267, 14639, 928, 661, 1421, 543, 24527, 267, 7325, 1329, 928, 454, 27078, 582, 11868, 519, 3213, 6814, 281, 21073, 543, 519, 12472, 540, 4425, 520, 5303, 538, 4993, 269, 2622, 26337, 454, 289, 584, 2284, 267, 667, 269, 589, 563, 299, 622, 2372, 15715, 776, 20048, 1108, 543, 31854, 19973, 540, 3828, 10679, 26317, 593, 918, 879, 320, 685, 328, 269, 30521, 22932, 454, 289, 584, 2284, 267, 700, 269, 623, 1421, 543, 8738, 2284, 267, 667, 269, 589, 563, 13142, 19254, 31854, 15572, 625, 585, 918, 879, 320, 685, 328, 543, 519, 7033, 532, 540, 5274, 27336, 2526, 269, 7414, 3163, 454, 5719, 6581, 10098, 345, 267, 589, 563, 763, 1763, 18675, 540, 7909, 545, 2598, 11825, 531, 769, 8466, 12713, 613, 2762, 269, 12367, 538, 17905, 543, 12472, 454, 11293, 4133, 517, 267, 13744, 631, 1421, 25599, 267, 8776, 17754, 595, 1421, 543, 966, 749, 534, 578, 996, 267, 11412, 2946, 454, 14549, 28620, 593, 9147, 2037, 4921, 281, 589, 8865, 5530, 689, 4993, 779, 8832, 19305, 11866, 269, 769, 30576, 1137, 540, 20570, 281, 634, 26337, 540, 11866, 267, 12995, 676, 8845, 631, 269, 23575, 6312, 4459, 267, 6032, 269, 476, 7906, 1700, 10695, 269, 16217, 1122, 518, 267, 4639, 1636, 267, 21086, 563, 763, 5600, 540, 519, 7256, 281, 1323, 4828, 593, 519, 4165, 18709, 540, 1773, 1678, 2052, 3996, 538, 8828, 4993, 269, 1977, 4165, 18709, 454, 295, 758, 2544, 685, 320, 267, 519, 10158, 547, 570, 1695, 16951, 269, 667, 15957, 267, 28927, 267, 1715, 3840, 563, 306, 9430, 538, 519, 654, 820, 540, 519, 1323, 6827, 832, 281, 4860, 1516, 2717, 2106, 14198, 30576, 1645, 269, 21674, 7467, 4964, 267, 12968, 565, 21343, 563, 16675, 267, 23011, 595, 563, 11771, 1231, 585, 519, 681, 3253, 14241, 540, 14914, 6816, 1354, 3864, 3346, 281, 10298, 689, 4591, 2065, 28668, 547, 606, 17136, 3143, 7043, 518, 13518, 540, 513, 25491, 269, 14943, 320, 715, 14241, 4750, 454, 13563, 12075, 538, 519, 7414, 281, 634, 7869, 3297, 519, 23951, 6874, 5942, 30609, 819, 269, 19395, 543, 1133, 7773, 267, 5507, 563, 763, 22963, 2052, 4141, 563, 292, 1885, 17290, 267, 12968, 565, 21343, 563, 296, 337, 7773, 267, 2983, 32015, 267, 808, 563, 763, 2776, 18856, 16709, 543, 16690, 1436, 540, 519, 7414, 269, 11062, 2160, 4964, 267, 11062, 563, 296, 337, 7773, 267, 2983, 32015, 267, 808, 563, 5591, 2494, 1772, 606, 6816, 281, 634, 11957, 540, 12745, 538, 519, 5530, 540, 519, 16690, 1436, 543, 5590, 25557, 540, 519, 7414, 10195, 269, 769, 8241, 16329, 6048, 281, 11814, 539, 14430, 538, 12968, 712, 540, 13343, 19395, 267, 12995, 676, 19158, 3326, 18722, 543, 7033, 25371, 267, 6032, 269, 476, 4375, 274, 1700, 9340, 269, 3213, 558, 2125, 14288, 4964, 267, 2052, 828, 571, 563, 763, 7256, 4211, 2761, 540, 2776, 20931, 269, 30296, 267, 5507, 563, 297, 2158, 267, 6833, 787, 700, 1421, 543, 918, 24882, 267, 22186, 787, 333, 589, 563, 11795, 4288, 1143, 1234, 4621, 30872, 281, 23008, 2065, 543, 16329, 1670, 15845, 585, 2776, 18856, 2717, 2106, 14198, 13555, 609, 8828, 4993, 269, 1977, 4165, 18709, 454, 2171, 267, 519, 13782, 2209, 269, 634, 9147, 3203, 540, 8092, 325, 4193, 538, 519, 7414, 269, 2160, 540, 16127, 4964, 267, 12968, 565, 21343, 563, 12385, 529, 5622, 4149, 19431, 267, 4432, 529, 9278, 267, 543, 7605, 1231, 267, 808, 269, 670, 563, 11771, 1231, 543, 2598, 11825, 1023, 540, 7414, 24447, 281, 15845, 689, 544, 339, 19091, 623, 17222, 4094, 625, 540, 519, 7414, 13158, 269, 18619, 540, 519, 2817, 9142, 540, 519, 7070, 454, 22517, 1846, 540, 519, 2622, 281, 689, 519, 12942, 6520, 547, 19744, 6874, 1307, 269, 10228, 2160, 4964, 267, 10228, 563, 303, 1177, 2917, 267, 12448, 267, 918, 563, 4002, 519, 2717, 2106, 14198, 4427, 16766, 607, 513, 9046, 585, 7054, 7773, 779, 23120, 5590, 25557, 29138, 269, 769, 7909, 545, 9177, 3778, 281, 10749, 538, 12968, 712, 540, 23011, 5682, 267, 12995, 676, 3967, 564, 5096, 1749, 517, 267, 2983, 32015, 7054, 7773, 267, 26187, 2274, 778, 267, 12448, 623, 1177, 2917, 267, 543, 16910, 18333, 9466, 267, 6032, 269, 476, 4343, 278, 1700, 25148, 269, 1715, 10215, 4750, 540, 26337, 7981, 22910, 267, 14480, 539, 514, 563, 305, 600, 6403, 30959, 25575, 328, 15676, 267, 21280, 2946, 20353, 3241, 454, 23086, 657, 3690, 335, 659, 6403, 325, 545, 657, 281, 1133, 589, 1356, 600, 1304, 334, 620, 6274, 2742, 632, 17485, 10016, 340, 652, 657, 681, 553, 326, 657, 2717, 1149, 545, 657, 679, 3288, 4980, 3120, 10934, 31866, 269, 1849, 6072, 0, 291, 9233, 267, 1175, 899, 3425, 267, 666, 1205, 519, 21462, 269, 1809, 7429, 3425, 267, 621, 779, 811, 2352, 547, 3313, 952, 707, 2915, 568, 7092, 689, 4965, 3274, 1317, 789, 666, 1406, 2911, 563, 6097, 547, 3627, 19449, 756, 817, 328, 267, 5449, 7022, 540, 519, 1977, 27259, 5980, 540, 10960, 10263, 267, 4965, 2589, 538, 5243, 666, 581, 3833, 2147, 547, 2589, 538, 3425, 563, 2108, 291, 9233, 786, 1831, 32585, 269, 1358, 1831, 29680, 269, 4256, 4189, 543, 12008, 6208, 1419, 1689, 269, 1358, 1810, 1406, 7119, 538, 519, 1919, 789, 2899, 10150, 2223, 19449, 756, 817, 328, 6045, 563, 4913, 267, 646, 14129, 602, 891, 2589, 949, 849, 1611, 602, 519, 2915, 814, 606, 5817, 2564, 1966, 563, 310, 528, 3072, 602, 707, 1093, 5255, 1522, 581, 7092, 689, 22578, 4965, 286, 3371, 616, 930, 4191, 267, 2687, 547, 2915, 26866, 19907, 595, 14008, 7085, 534, 563, 272, 269, 15448, 538, 14031, 454, 5278, 5243, 267, 950, 20158, 267, 6336, 1719, 538, 4189, 543, 607, 513, 1267, 267, 8774, 2597, 269, 2201, 519, 824, 1688, 267, 930, 5243, 666, 1831, 2566, 3548, 619, 543, 3548, 811, 1282, 513, 4965, 269, 0, 15703, 8536, 14861, 710, 10136, 22848, 877, 476, 10019, 3703, 2261, 1149, 2221, 543, 25868, 519, 674, 1779, 1633, 11866, 538, 519, 3162, 9533, 563, 763, 14861, 710, 795, 2863, 320, 9307, 602, 7952, 267, 26010, 543, 2011, 3196, 4559, 9676, 519, 3703, 13463, 671, 674, 1779, 4133, 267, 476, 7742, 5195, 1055, 519, 25878, 9133, 540, 18335, 267, 543, 519, 3162, 11908, 543, 3162, 9995, 16049, 11866, 267, 3703, 29444, 547, 519, 7532, 563, 28347, 31144, 8179, 547, 22321, 519, 2212, 540, 519, 795, 2863, 320, 547, 1289, 1055, 519, 12289, 267, 855, 1010, 476, 2004, 18826, 15146, 1289, 729, 538, 642, 664, 269, 630, 17273, 476, 277, 8094, 19322, 664, 2667, 5661, 1412, 23763, 517, 2920, 7055, 4263, 519, 2136, 8315, 267, 6628, 1572, 519, 12289, 15234, 320, 1616, 517, 957, 5257, 543, 4280, 519, 8232, 7027, 547, 3747, 519, 7525, 15639, 540, 14861, 710, 4229, 563, 1103, 5507, 267, 519, 6554, 1767, 15234, 320, 8101, 1297, 540, 9576, 13108, 9635, 5257, 941, 16144, 4724, 519, 10195, 267, 543, 513, 15298, 4305, 3196, 729, 8108, 1055, 519, 3703, 5032, 563, 8649, 19812, 5925, 12427, 538, 26304, 267, 519, 3854, 540, 519, 674, 1779, 1633, 11866, 267, 5143, 519, 3703, 16340, 26511, 15278, 602, 606, 14861, 710, 8484, 15298, 543, 2185, 824, 9635, 2322, 513, 1804, 1033, 16670, 540, 2367, 11849, 648, 972, 609, 6186, 1819, 6472, 563, 763, 5925, 12427, 1767, 8165, 16768, 1614, 3108, 267, 609, 5230, 3441, 547, 5656, 269, 2290, 11346, 1767, 519, 14861, 710, 28164, 941, 31076, 1209, 2294, 538, 5053, 269, 6816, 619, 3657, 540, 3703, 2677, 1417, 454, 763, 5318, 5354, 540, 519, 476, 272, 267, 8517, 674, 1779, 1633, 6816, 619, 267, 945, 1289, 2933, 737, 601, 11825, 267, 616, 540, 3703, 16350, 543, 1616, 547, 2611, 896, 3703, 1852, 269, 1358, 2661, 1055, 10068, 543, 519, 2504, 540, 4573, 2023, 543, 15144, 563, 763, 3162, 11908, 543, 3162, 9995, 16049, 11866, 723, 1152, 513, 19625, 540, 11317, 267, 6140, 29940, 269, 6628, 15387, 606, 21303, 1382, 3490, 693, 717, 787, 339, 341, 1731, 523, 593, 5842, 31883, 267, 519, 4102, 6532, 538, 519, 3162, 9677, 5362, 563, 763, 10195, 941, 4362, 676, 513, 3703, 24413, 267, 12650, 269, 3627, 16026, 267, 538, 476, 14689, 273, 267, 543, 12306, 676, 519, 2296, 267, 3943, 543, 5053, 267, 6140, 627, 531, 619, 269, 769, 476, 10082, 271, 267, 8050, 11751, 856, 519, 3943, 543, 22755, 856, 519, 3703, 563, 6635, 7217, 2088, 10645, 519, 10195, 1310, 621, 6591, 7115, 689, 8050, 538, 476, 5197, 277, 267, 855, 6628, 556, 13094, 873, 538, 476, 8146, 273, 267, 30418, 873, 513, 22477, 2051, 3415, 269, 18335, 2760, 7608, 519, 3703, 1847, 269, 3509, 769, 935, 5477, 13669, 802, 454, 6635, 7217, 2088, 543, 6628, 723, 4371, 1082, 12909, 267, 782, 21016, 5477, 267, 593, 519, 2104, 540, 519, 674, 1779, 4133, 269, 7831, 1032, 519, 6532, 619, 910, 543, 18335, 910, 15653, 513, 3703, 11556, 602, 519, 674, 1779, 4133, 581, 524, 17660, 547, 18335, 543, 682, 1078, 1394, 547, 6628, 269, 18335, 29739, 593, 1852, 282, 519, 6532, 619, 29739, 593, 6967, 3703, 563, 9213, 267, 795, 889, 559, 656, 14861, 1149, 593, 519, 22163, 1750, 1229, 267, 530, 8491, 17514, 267, 547, 6838, 28712, 267, 32131, 521, 790, 985, 543, 17167, 539, 5939, 30518, 267, 1256, 1498, 519, 14861, 710 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2852, 888, 6546, 779, 13148, 2953, 269, 1879, 4961, 5641, 741, 3440, 1824, 585, 7022, 538, 519, 2442, 8917, 267, 789, 1528, 513, 1793, 622, 540, 1528, 832, 269, 5082, 832, 1287, 5641, 519, 16018, 602, 6430, 945, 3587, 7022, 540, 519, 2136, 2276, 269, 15394, 267, 21146, 16018, 5447, 609, 519, 2442, 8917, 538, 606, 9550, 563, 1692, 1082, 796, 9482, 3022, 1528, 832, 616, 972, 888, 2691, 519, 21146, 2852, 5641, 922, 8917, 267, 782, 27552, 796, 9482, 3022, 1528, 832, 5641, 741, 16018, 585, 15061, 19391, 520, 16452, 674, 269, 1635, 6113, 585, 7022, 543, 853, 668, 774, 584, 12107, 585, 13030, 7022, 1310, 3843, 547, 3310, 824, 8828, 2829, 883, 796, 9482, 3101, 741, 1528, 832, 547, 6443, 873, 563, 1692, 616, 1715, 24900, 30896, 13752, 888, 6124, 24900, 15920, 476, 3451, 30896, 547, 519, 3084, 15007, 267, 540, 799, 476, 2190, 616, 26823, 3022, 30896, 21248, 593, 519, 4493, 540, 519, 2164, 540, 519, 3119, 267, 543, 519, 824, 476, 280, 616, 796, 9482, 3022, 30896, 630, 27273, 1372, 5586, 919, 264, 840, 572, 21124, 10446, 540, 519, 3119, 2164, 269, 0, 15812, 7566, 568, 513, 2603, 899, 938, 4555, 543, 6547, 267, 1318, 286, 16373, 568, 519, 1184, 540, 2870, 543, 9513, 547, 519, 1857, 1945, 602, 789, 1265, 3407, 269, 898, 779, 519, 1184, 602, 23619, 721, 593, 1945, 269, 1403, 649, 10093, 1406, 4810, 267, 4862, 267, 610, 2938, 602, 1945, 1354, 267, 1287, 621, 779, 4440, 513, 1434, 2856, 547, 1577, 513, 2344, 518, 917, 602, 563, 2691, 649, 2461, 3843, 547, 6133, 1945, 547, 513, 7817, 267, 2344, 619, 616, 519, 1004, 945, 1711, 519, 2856, 543, 1287, 723, 519, 10100, 630, 528, 1058, 594, 2161, 3668, 540, 10100, 264, 547, 6133, 621, 547, 721, 269, 1358, 723, 519, 2702, 547, 948, 721, 1118, 513, 3375, 1759, 593, 741, 1378, 4555, 543, 4606, 267, 711, 23600, 563, 3080, 540, 519, 1034, 1455, 2081, 602, 6994, 23924, 6133, 547, 721, 568, 998, 519, 1184, 540, 17003, 31633, 269, 901, 568, 950, 606, 6994, 16014, 1101, 12857, 513, 1007, 1587, 610, 3028, 1354, 2965, 9513, 621, 547, 721, 269, 1879, 513, 2754, 6799, 513, 1007, 2856, 547, 519, 1857, 267, 789, 949, 946, 606, 740, 5859, 547, 6338, 519, 1587, 269, 1403, 596, 1616, 513, 1007, 1286, 267, 596, 949, 1294, 606, 740, 585, 513, 1007, 1286, 269, 1403, 596, 1616, 513, 1007, 6049, 267, 596, 949, 1294, 606, 740, 585, 513, 1007, 6049, 563, 3080, 540, 519, 1034, 1455, 2081, 602, 6994, 23924, 6133, 547, 721, 568, 998, 519, 1184, 540, 17003, 31633, 269, 901, 568, 519, 1184, 540, 10503, 513, 1587, 547, 721, 538, 2474, 602, 649, 2907, 917, 543, 6010, 532, 621, 1317, 649, 3314, 2348, 621, 1354, 269, 898, 568, 713, 1184, 602, 3123, 721, 547, 3314, 2348, 1945, 950, 649, 1810, 1406, 269, 2290, 1383, 540, 17003, 31633, 568, 519, 2165, 968, 3250, 6049, 1848, 898, 568, 1419, 1031, 547, 4766, 513, 1007, 6049, 1317, 621, 814, 1100, 2012, 563, 1805, 574, 15252, 31633, 568, 513, 1360, 1455, 1259, 602, 6994, 23924, 6133, 547, 721, 269, 1306, 594, 723, 1767, 1354, 267, 649, 782, 723, 938, 1378, 2833, 609, 1591, 11436, 269, 1717, 267, 621, 729, 5063, 513, 1434, 3364, 602, 594, 3893, 513, 1007, 1591, 6049, 267, 1317, 594, 1185, 547, 3314, 519, 2012, 540, 519, 6049, 594, 1185, 693, 519, 942, 269, 594, 723, 1185, 1591, 11436, 2094, 594, 729, 476, 279, 543, 594, 993, 1152, 1631, 4358, 547, 8275, 875, 1082, 1004, 538, 1250, 1272, 1131, 723, 16618, 741, 6049, 1297, 563, 763, 1007, 17003, 31633, 6725, 5859, 689, 9365, 568, 4867, 1373, 1572, 606, 968, 23024, 2939, 892, 1317, 621, 568, 1869, 538, 8097, 5933, 267, 855, 519, 2754, 779, 3409, 568, 602, 519, 5859, 568, 6322, 693, 4543, 1004, 547, 3314, 741, 1378, 6049, 2338, 269, 901, 568, 1175, 1018, 621, 4992, 899, 267, 855, 621, 568, 513, 1259, 547, 2119, 547, 1205, 721, 547, 3314, 1919, 602, 616, 1271, 547, 721, 269, 898, 568, 267, 540, 1576, 267, 513, 4625, 7301, 543, 22801, 3409, 563, 1103, 519, 2250, 649, 723, 1419, 1031, 713, 8671, 545, 547, 2119, 543, 1205, 1004, 547, 1289, 721, 538, 519, 1647, 540, 519, 3781, 267, 855, 713, 568, 1114, 1317, 621, 3217, 5413, 540, 1004, 779, 12402, 547, 1289, 721, 693, 9642, 3108, 269, 1284, 1289, 1004, 602, 649, 917, 616, 856, 540, 4884, 610, 1810, 1406, 2626, 741, 6049, 267, 855, 621, 568, 513, 2370, 2182, 547, 917, 952, 2576, 2731, 6499, 547, 2911, 547, 721, 563, 1607, 568, 1946, 596, 1058, 1289, 873, 269, 898, 568, 2141, 513, 1434, 2856, 547, 917, 602, 2576, 568, 2731, 856, 540, 4884, 269, 4634, 952, 649, 21645, 917, 945, 789, 616, 267, 621, 568, 2141, 513, 1434, 2856, 547, 1289, 873, 269, 901, 568, 2523, 3020, 585, 519, 1004, 945, 616, 856, 540, 4884, 585, 1870, 269, 901, 568, 1946, 621, 568, 2141, 1271, 547, 1289, 873, 267, 1317, 1256, 952, 596, 21645, 917, 1946, 596, 616, 10912, 267, 596, 666, 1869, 1118, 2386, 602, 789, 616, 1869, 972, 563, 7197, 540, 721, 616, 7168, 21933, 643, 1190, 547, 519, 1004, 945, 2661, 1318, 1985, 7450, 547, 721, 269, 1809, 1287, 1586, 267, 649, 616, 7168, 21933, 643, 1190, 547, 1018, 938, 12543, 616, 909, 547, 269, 898, 568, 513, 1434, 2856, 267, 2705, 267, 547, 2141, 798, 693, 2547, 513, 2370, 1382, 547, 1294, 952, 519, 1004, 596, 616, 10912, 616, 2965, 972, 269, 901, 2882, 10912, 519, 1591, 6049, 540, 519, 1268, 945, 568, 16460, 519, 6049, 267, 610, 10992, 741, 552, 17733, 543, 3168, 909, 519, 1268, 779, 1591, 6049, 1297, 2228, 563, 3080, 540, 519, 1034, 1271, 1919, 547, 3314, 568, 602, 519, 1268, 596, 616, 10912, 568, 711, 2965, 972, 269, 2368, 1004, 616, 1175, 711, 538, 519, 2780, 538, 519, 1101, 1747, 267, 610, 5310, 789, 723, 6410, 269, 769, 1022, 2013, 267, 621, 779, 1655, 547, 2638, 952, 596, 666, 2965, 1118, 3346, 609, 519, 1268, 1354, 596, 1289, 873, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 966, 14037, 16527, 267, 606, 5736, 602, 21269, 936, 513, 8536, 1296, 267, 6585, 10373, 4644, 538, 519, 3504, 1686, 540, 3127, 269, 901, 1974, 5795, 4332, 547, 7096, 10952, 4030, 267, 10723, 1728, 332, 985, 267, 543, 6946, 12738, 602, 9788, 519, 5748, 585, 18420, 269, 769, 713, 5816, 267, 649, 7832, 593, 513, 3460, 883, 519, 966, 14037, 1974, 267, 19586, 532, 519, 3504, 7326, 267, 12738, 267, 543, 5289, 2853, 602, 8032, 519, 5289, 5251, 540, 3504, 3127, 454, 272, 269, 4197, 519, 966, 14037, 31157, 912, 763, 966, 14037, 1974, 568, 1634, 585, 922, 3638, 4015, 540, 5931, 267, 15217, 1634, 607, 519, 28174, 553, 269, 10812, 519, 15519, 1386, 320, 267, 519, 9510, 543, 1034, 10723, 540, 519, 28174, 553, 267, 5627, 1728, 332, 985, 6131, 547, 1585, 24587, 543, 17184, 4229, 269, 13028, 519, 6341, 8491, 320, 267, 513, 4015, 540, 23964, 543, 669, 1218, 1031, 1282, 12738, 267, 543, 519, 962, 1690, 20940, 320, 267, 799, 2488, 5528, 585, 9384, 4716, 18428, 269, 1133, 16225, 519, 19158, 541, 341, 8491, 320, 267, 513, 28094, 540, 1728, 332, 985, 543, 28542, 2404, 609, 4948, 1272, 563, 273, 269, 29042, 670, 2096, 985, 543, 8061, 10899, 17826, 912, 291, 10679, 883, 519, 25386, 1158, 540, 966, 14037, 1728, 332, 985, 543, 1821, 10899, 6965, 269, 10812, 519, 7096, 4030, 543, 5289, 1032, 11789, 6829, 538, 519, 1728, 332, 985, 540, 519, 15519, 1386, 320, 269, 1133, 16225, 519, 6946, 13513, 543, 19621, 5898, 540, 891, 18627, 267, 799, 14719, 622, 519, 2470, 540, 6228, 267, 519, 17184, 1931, 267, 543, 519, 2078, 1063, 3425, 543, 519, 10143, 269, 13028, 519, 19621, 23258, 540, 3504, 966, 14037, 694, 619, 543, 741, 15851, 7215, 540, 20174, 563, 274, 269, 681, 3770, 338, 543, 15762, 337, 4716, 24583, 3000, 625, 912, 763, 966, 14037, 16527, 729, 6353, 676, 14969, 12738, 543, 9384, 4716, 18428, 5340, 676, 20577, 1634, 607, 23347, 332, 1231, 269, 28150, 4030, 883, 519, 12738, 4330, 538, 519, 962, 1690, 20940, 320, 267, 799, 7291, 519, 5773, 267, 669, 1218, 267, 543, 17008, 3238, 538, 1585, 18428, 269, 10812, 519, 4644, 540, 3595, 12738, 267, 971, 607, 3397, 333, 8811, 582, 571, 543, 962, 1690, 3534, 267, 799, 941, 5340, 547, 1045, 5803, 10143, 25736, 267, 2226, 17184, 1931, 267, 543, 3343, 5289, 2208, 563, 275, 269, 966, 14037, 16527, 1546, 885, 543, 15328, 17443, 912, 4462, 16225, 519, 20562, 515, 517, 540, 966, 14037, 24587, 543, 741, 5107, 538, 519, 966, 14037, 14421, 1108, 269, 6258, 827, 10971, 971, 607, 1473, 571, 267, 3397, 14269, 267, 24430, 10044, 267, 543, 590, 1722, 320, 267, 945, 6719, 17184, 4229, 543, 2067, 2609, 269, 13028, 519, 1523, 540, 968, 305, 7534, 2223, 519, 17184, 1931, 602, 1754, 985, 519, 7122, 267, 543, 519, 6946, 16799, 1063, 10971, 267, 3425, 267, 543, 519, 2067, 1158, 269, 28150, 513, 4514, 1620, 540, 519, 13513, 543, 5289, 4644, 11911, 547, 891, 24587, 563, 276, 269, 966, 14037, 16527, 11096, 28441, 29362, 543, 4317, 12856, 912, 763, 966, 14037, 16527, 849, 9788, 519, 5748, 585, 10952, 28780, 543, 1514, 3889, 269, 10812, 519, 1523, 540, 968, 291, 327, 12609, 2223, 519, 5837, 543, 5683, 3741, 602, 3391, 1480, 2932, 543, 1514, 1931, 269, 13028, 519, 21712, 1514, 2497, 1759, 593, 24430, 3534, 630, 322, 4292, 264, 1062, 267, 609, 23347, 332, 1231, 267, 918, 338, 1002, 686, 344, 553, 267, 28446, 880, 344, 553, 267, 543, 1744, 644, 6652, 1142, 2348, 1808, 5107, 543, 9021, 269, 13760, 519, 3741, 540, 737, 12609, 267, 32193, 267, 543, 519, 13287, 540, 631, 758, 3333, 320, 630, 12221, 3130, 264, 602, 8032, 966, 14037, 6138, 563, 763, 966, 14037, 16527, 4564, 513, 11358, 5123, 538, 3504, 4095, 1686, 267, 6353, 676, 7096, 7326, 267, 1821, 10899, 6965, 267, 543, 6946, 12738, 269, 3414, 519, 28174, 553, 267, 1728, 332, 985, 267, 543, 12738, 267, 713, 5736, 6035, 4030, 883, 519, 2470, 540, 6228, 267, 519, 2078, 1063, 3425, 543, 519, 10143, 267, 543, 519, 2956, 540, 5683, 2932, 269, 10289, 519, 966, 14037, 1974, 2636, 721, 547, 5660, 519, 2620, 268, 549, 6838, 5289, 5389, 543, 10952, 28780, 602, 3136, 547, 3337, 18420, 543, 13469, 609, 32339, 540, 5289, 7326, 2221, 269, 1635, 1620, 519, 3504, 7326, 543, 12738, 540, 519, 966, 14037, 1974, 267, 649, 2744, 513, 4514, 7071, 585, 519, 3638, 13795, 540, 5289, 6561, 602, 814, 1044, 5293, 1524, 998, 5481, 269, 0, 14197, 6391, 568, 513, 22294, 540, 2564, 1416, 267, 21214, 513, 2647, 5044, 540, 5773, 2629, 547, 3461, 1134, 5630, 269, 1879, 6236, 2489, 6391, 538, 24861, 267, 621, 781, 1898, 547, 581, 1134, 26455, 827, 8939, 519, 20923, 23262, 543, 10506, 269, 901, 3102, 3391, 786, 1683, 4030, 883, 519, 7706, 540, 2489, 6391, 267, 13057, 596, 2509, 8797, 3664, 563, 8139, 4937, 17889, 454, 14197, 6391, 568, 513, 2564, 20614, 602, 6212, 593, 7900, 10551, 5773, 547, 1521, 1585, 3676, 267, 7063, 267, 543, 2175, 269, 898, 2882, 513, 3376, 8552, 540, 7459, 267, 689, 6296, 16289, 624, 558, 625, 547, 1950, 1418, 1098, 17852, 563, 13349, 4937, 13880, 673, 30332, 454, 268, 2561, 754, 26618, 281, 31203, 540, 519, 30569, 267, 1419, 1813, 547, 8650, 16289, 545, 4345, 563, 268, 670, 1716, 807, 29766, 281, 17889, 547, 2953, 1200, 333, 5362, 267, 799, 2049, 950, 606, 1418, 610, 5160, 24864, 998, 513, 4617, 5544, 538, 519, 14159, 3774, 563, 268, 932, 1961, 1097, 560, 26618, 281, 31203, 540, 519, 7086, 31041, 267, 4749, 1813, 547, 7086, 18429, 563, 268, 16690, 17889, 281, 30332, 5466, 2175, 971, 607, 897, 28030, 2860, 267, 31818, 10306, 4345, 267, 543, 12982, 15108, 2068, 563, 1432, 547, 6733, 585, 538, 513, 4937, 31048, 517, 454, 24400, 513, 9952, 543, 4810, 2489, 18874, 568, 4105, 547, 2327, 513, 3811, 10551, 6364, 269, 11153, 1883, 2188, 1058, 3391, 707, 5542, 912, 272, 269, 19120, 5874, 543, 28946, 1113, 338, 454, 16100, 585, 513, 18874, 945, 568, 4604, 2275, 1068, 1881, 538, 2489, 6391, 543, 19299, 8101, 1995, 538, 519, 1808, 5650, 596, 2154, 269, 15232, 28382, 519, 18874, 547, 4383, 3309, 3871, 543, 1761, 8374, 563, 273, 269, 11233, 10500, 559, 2747, 454, 13706, 519, 6413, 1141, 519, 6391, 786, 1491, 1747, 269, 3550, 621, 568, 26886, 267, 15387, 22608, 3461, 1416, 4441, 267, 543, 740, 12742, 547, 7453, 9882, 10873, 563, 274, 269, 9442, 543, 21111, 4211, 22834, 13979, 454, 19931, 2792, 609, 707, 18874, 568, 1898, 269, 7994, 513, 18874, 945, 1592, 839, 547, 707, 4145, 267, 2488, 2143, 3137, 540, 519, 5650, 267, 543, 22851, 596, 538, 519, 3375, 6194, 1184, 269, 589, 3461, 7266, 878, 1935, 5849, 513, 811, 6899, 543, 5483, 1995, 563, 275, 269, 18043, 12243, 454, 14197, 6391, 1419, 3322, 513, 23499, 1935, 269, 16418, 513, 18874, 945, 3523, 919, 609, 12665, 899, 606, 15589, 328, 5505, 267, 10237, 5505, 267, 543, 11923, 547, 2327, 3102, 1416, 563, 763, 4937, 17889, 26488, 454, 8139, 519, 25727, 540, 519, 10551, 5650, 596, 786, 10929, 568, 2629, 269, 2659, 18874, 1058, 1683, 3102, 1344, 267, 8720, 1018, 547, 2503, 1354, 267, 1282, 267, 543, 1310, 6391, 563, 22025, 1113, 24093, 543, 27159, 454, 12024, 1022, 10551, 5650, 267, 2489, 6391, 11438, 7915, 4220, 269, 1452, 949, 1331, 3968, 267, 11702, 267, 8801, 6547, 547, 23236, 267, 1973, 28163, 267, 543, 10138, 8374, 563, 4407, 1367, 4093, 949, 4268, 267, 2489, 6391, 1419, 5012, 547, 912, 268, 22375, 610, 6454, 540, 519, 2564, 2783, 563, 268, 28057, 689, 1928, 610, 9636, 563, 268, 24046, 2949, 1072, 543, 2298, 540, 1272, 563, 2005, 781, 1898, 547, 1865, 1761, 4220, 543, 10853, 6788, 609, 707, 18874, 267, 4180, 596, 616, 1134, 1790, 10517, 1563, 585, 519, 10551, 3460, 563, 763, 19043, 540, 21111, 15232, 454, 763, 3461, 1995, 568, 513, 2565, 2460, 540, 707, 2489, 6391, 3460, 269, 898, 13315, 1585, 2609, 267, 1519, 912, 272, 269, 2776, 14114, 704, 894, 4065, 454, 288, 1134, 26455, 3461, 568, 1732, 9280, 547, 11883, 609, 6391, 269, 7994, 513, 18874, 543, 6413, 602, 1683, 3102, 840, 268, 10869, 2069, 547, 2327, 596, 1174, 1018, 547, 2503, 543, 875, 547, 1416, 585, 3054, 1354, 6391, 563, 273, 269, 8081, 633, 5516, 454, 5353, 2131, 513, 3782, 2319, 602, 3091, 711, 1152, 9952, 10551, 1416, 855, 849, 3929, 1489, 269, 2659, 4313, 543, 4708, 540, 2247, 616, 2629, 1282, 713, 13710, 942, 563, 274, 269, 5403, 14114, 704, 894, 18401, 454, 3725, 11734, 1310, 2489, 6391, 666, 581, 4101, 267, 543, 5571, 1489, 568, 4105, 269, 4855, 513, 9744, 602, 3091, 1246, 5346, 1416, 267, 1928, 2359, 267, 543, 14317, 2533, 607, 2877, 563, 21430, 769, 11526, 5463, 2888, 454, 763, 3375, 540, 1141, 547, 10929, 2489, 6391, 538, 24861, 568, 1713, 543, 2123, 269, 6875, 707, 942, 547, 2932, 9488, 1382, 267, 5077, 609, 2789, 23262, 267, 543, 6218, 10506, 269, 5457, 602, 519, 1655, 3903, 585, 596, 20383, 609, 707, 2564, 2115, 267, 7375, 267, 543, 4313, 1377, 563, 4407, 649, 1174, 707, 1719, 538, 5275, 2126, 538, 24861, 267, 649, 3810, 4363, 13844, 513, 1863, 2034, 6644, 689, 513, 11967, 4759, 540, 519, 6820, 3038, 3187, 8416, 630, 294, 14149, 1040, 9869, 8558, 899, 7885, 3821, 645, 756, 997, 320, 538, 22728, 28573, 543, 7414, 320, 6428, 644, 11233, 538, 24861, 616, 851, 540, 713, 3060, 267, 1634, 585, 741, 7029, 547, 3246, 2298, 3782, 563, 28058, 3821, 645, 756, 997, 320, 543, 7414, 320, 6428, 644, 616, 22644, 539, 13382, 301, 2818, 267, 5356, 16190, 1569, 547, 3782, 7426, 609, 840, 268, 10864, 582, 7007, 28774, 543, 862, 3827, 269, 3414, 519, 13382, 301, 1982, 267, 1312, 2550, 543, 7426, 4324, 689, 513, 2518, 3060, 540, 29748, 3906, 563, 9596, 811, 827, 875, 547, 6443, 519, 6820, 3038, 3187, 8416, 676, 9683, 713, 3095, 281, 15012, 13382, 301, 454, 7312, 3460, 4724, 4824, 1072, 19262, 519, 25932, 1416, 267, 543, 13382, 301, 568, 1934, 547, 948, 596, 3035, 602, 3804, 269, 0, 763, 8899, 6052, 4436, 1756, 630, 4041, 10481, 264, 5489, 10725, 568, 538, 782, 3344, 20979, 585, 2773, 693, 1970, 543, 9793, 19367, 543, 814, 1808, 5383, 936, 6671, 1544, 541, 610, 1071, 32681, 22572, 269, 634, 700, 9680, 324, 18785, 568, 29959, 609, 513, 6094, 4395, 543, 2427, 3346, 269, 634, 15493, 3346, 568, 540, 1447, 982, 2407, 1858, 799, 3947, 513, 2539, 18785, 31887, 3379, 547, 513, 1544, 541, 3926, 540, 2147, 2450, 269, 4595, 840, 600, 680, 8595, 6846, 4679, 609, 18785, 31887, 267, 519, 700, 9680, 324, 18785, 3413, 3581, 2539, 6846, 543, 18867, 1732, 6571, 693, 1970, 543, 9793, 19367, 982, 1022, 824, 18785, 9511, 269, 9521, 9240, 3437, 1544, 541, 22572, 267, 972, 568, 2370, 4666, 24141, 1756, 3564, 519, 3742, 3148, 269, 901, 267, 543, 519, 1249, 602, 519, 2427, 2627, 568, 5279, 10655, 2864, 982, 32229, 267, 2164, 538, 7864, 1279, 8573, 1047, 942, 20512, 609, 4824, 1293, 2557, 2773, 543, 8445, 3562, 25746, 3033, 12753, 563, 763, 700, 9680, 324, 18785, 568, 2139, 609, 3742, 2127, 689, 476, 2004, 6515, 273, 547, 476, 1220, 271, 6515, 273, 543, 609, 11098, 525, 8151, 689, 476, 276, 547, 476, 736, 6515, 269, 1280, 3156, 5473, 9793, 18325, 11920, 19367, 267, 519, 700, 9680, 324, 18785, 949, 1134, 856, 704, 845, 513, 811, 7199, 1804, 4320, 1071, 32681, 18785, 269, 634, 4398, 7455, 2016, 2630, 14550, 519, 2773, 540, 513, 6093, 700, 9680, 324, 18785, 563, 2414, 1491, 2407, 5413, 540, 519, 1970, 1648, 3210, 540, 713, 11371, 1231, 1227, 6094, 6885, 18785, 267, 700, 9680, 324, 3956, 739, 1846, 616, 2356, 9280, 609, 513, 6094, 630, 272, 547, 476, 736, 2113, 264, 536, 2044, 961, 1756, 6885, 269, 589, 700, 9680, 324, 3956, 739, 520, 666, 849, 581, 9280, 609, 513, 476, 271, 269, 277, 6515, 3327, 3134, 20293, 6885, 799, 10607, 27726, 1145, 936, 519, 2142, 6885, 267, 855, 1869, 814, 513, 1434, 1970, 1648, 6771, 269, 1280, 3156, 693, 19367, 1657, 476, 1789, 1183, 309, 267, 519, 700, 9680, 324, 18785, 666, 581, 3177, 609, 513, 6671, 476, 271, 269, 276, 6515, 1325, 26891, 6885, 269, 769, 1022, 2013, 267, 513, 2647, 2039, 540, 2139, 19257, 542, 3956, 739, 1846, 2636, 17306, 519, 18785, 12122, 585, 707, 3498, 563, 268, 8899, 1648, 18325, 21655 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 4188, 543, 568, 2808, 607, 6145, 1034, 4775, 1851, 1169, 835, 540, 519, 2338, 543, 2034, 11464, 1310, 5256, 476, 272, 269, 898, 20186, 3919, 267, 519, 5870, 909, 899, 9843, 543, 3501, 269, 769, 19220, 540, 519, 1249, 602, 621, 568, 22537, 1548, 781, 811, 267, 2550, 621, 568, 538, 30541, 550, 543, 5249, 676, 519, 20224, 269, 7089, 1079, 2516, 519, 2956, 540, 796, 2305, 267, 6498, 267, 16126, 267, 6560, 610, 5619, 540, 1978, 2906, 269, 1297, 1079, 3958, 1895, 4086, 1143, 543, 3017, 269, 5565, 568, 519, 1396, 339, 23057, 543, 1101, 6305, 2338, 543, 519, 1292, 2786, 6305, 2094, 621, 814, 3875, 15523, 269, 20134, 7592, 540, 1297, 1079, 269, 898, 568, 11967, 602, 1079, 1185, 519, 2702, 547, 3142, 674, 9500, 1033, 652, 762, 910, 676, 19456, 648, 753, 269, 898, 568, 9808, 559, 786, 267, 5605, 20884, 267, 24715, 908, 269, 476, 1556, 25734, 267, 621, 568, 519, 1769, 540, 519, 9645, 1297, 540, 2338, 267, 16041, 609, 15754, 585, 4708, 267, 9602, 267, 814, 7907, 585, 15859, 267, 3972, 10290, 1465, 267, 1860, 1464, 269, 769, 6746, 1108, 22221, 267, 568, 9763, 607, 519, 513, 576, 1297, 267, 547, 513, 1390, 4110, 6427, 633, 267, 1045, 580, 528, 730, 543, 3001, 269, 898, 10123, 5587, 5809, 1297, 22221, 267, 607, 513, 11144, 540, 2090, 267, 4152, 543, 30217, 344, 269, 3245, 7097, 1116, 1448, 476, 1556, 267, 21843, 24187, 543, 10385, 910, 11389, 2993, 1464, 547, 26418, 2390, 519, 1876, 269, 769, 4789, 22221, 2982, 909, 538, 519, 19799, 618, 540, 519, 14914, 14735, 609, 30288, 15441, 10802, 906, 267, 519, 12964, 13794, 1510, 7225, 553, 568, 322, 926, 582, 269, 26062, 568, 7466, 4557, 543, 1797, 513, 2698, 23249, 269, 1280, 519, 2904, 753, 267, 621, 14753, 547, 2696, 781, 7662, 269, 1306, 8612, 676, 681, 269, 2353, 754, 344, 543, 808, 4425, 601, 830, 267, 621, 12662, 519, 1158, 538, 1079, 20935, 9708, 267, 1570, 1158, 689, 519, 824, 16447, 569, 1158, 269, 2060, 8905, 476, 273, 267, 741, 2338, 616, 630, 1556, 270, 273, 267, 476, 736, 270, 273, 1040, 1403, 596, 616, 25552, 609, 519, 2318, 4162, 540, 3950, 1297, 476, 273, 267, 596, 786, 723, 519, 4316, 547, 2661, 513, 7059, 267, 24534, 543, 4023, 1272, 269, 1411, 1616, 547, 581, 5693, 6026, 538, 513, 2647, 2039, 540, 6009, 538, 1142, 2013, 610, 2990, 267, 543, 585, 713, 2601, 267, 789, 1419, 1413, 899, 10827, 2456, 538, 2352, 3871, 269, 769, 713, 2022, 267, 596, 616, 2111, 547, 8207, 13882, 609, 606, 796, 514, 4725, 1243, 543, 4023, 6073, 269, 1411, 723, 513, 1483, 1719, 538, 1866, 269, 10158, 540, 1272, 476, 273, 1004, 1589, 602, 519, 1655, 1004, 267, 945, 1616, 519, 1655, 585, 873, 269, 1358, 616, 9237, 543, 1930, 538, 2219, 267, 2262, 543, 2962, 269, 1358, 14133, 538, 513, 1106, 540, 7104, 2534, 267, 1141, 741, 2833, 666, 581, 1031, 547, 4308, 609, 1004, 543, 547, 3575, 873, 3927, 269, 15979, 543, 3432, 2097, 538, 741, 1378, 1259, 609, 1866, 267, 543, 789, 616, 711, 519, 3283, 945, 1852, 513, 1895, 610, 3510, 269, 1411, 616, 827, 547, 1205, 513, 4487, 7029, 543, 1140, 652, 547, 10103, 538, 707, 1858, 540, 6791, 269, 1306, 519, 1292, 3693, 540, 519, 2319, 267, 596, 1058, 711, 17192, 610, 11760, 1256, 950, 6035, 269, 769, 1082, 2081, 267, 596, 616, 513, 13442, 540, 4356, 543, 6296, 267, 543, 8853, 593, 1920, 543, 1920, 3270, 269, 4256, 2702, 547, 5659, 543, 5838, 4977, 21520, 568, 513, 8748, 2067, 1599, 547, 3142, 1927, 519, 1870, 2146, 269, 1358, 29954, 790, 547, 6207, 8856, 543, 1256, 19870, 538, 741, 960, 269, 623, 19991, 1411, 616, 513, 6205, 855, 596, 616, 513, 1268, 945, 568, 13747, 543, 1439, 15735, 609, 5499, 2093, 602, 1397, 519, 1259, 540, 1272, 476, 273, 1411, 723, 9411, 883, 713, 1272, 609, 519, 5289, 2298, 540, 707, 1118, 5346, 267, 799, 596, 666, 2141, 3142, 547, 960, 585, 4708, 538, 2352, 6381, 269, 4256, 9342, 2097, 689, 741, 2702, 547, 6432, 543, 10110, 269, 1411, 616, 513, 8810, 18657, 1807, 267, 543, 1360, 20320, 1826, 540, 1268, 609, 1390, 10388, 1983, 3079, 540, 16550, 707, 1259, 547, 519, 1158, 269, 1411, 666, 9784, 519, 5289, 2427, 267, 17328, 547, 1397, 602, 596, 616, 16022, 267, 2413, 267, 4998, 543, 5075, 776, 269, 1452, 4388, 723, 1500, 621, 4277, 609, 865, 1454, 547, 2709, 519, 2754, 269, 1358, 723, 519, 2702, 547, 581, 513, 2620, 1589, 518, 267, 543, 6157, 5461, 538, 1620, 1034, 540, 1272, 781, 11580, 543, 9735, 3344, 269, 634, 1272, 540, 11202, 476, 273, 849, 2258, 2510, 269, 634, 8229, 1648, 602, 12958, 621, 666, 3006, 1118, 621, 513, 3787, 3665, 267, 855, 602, 568, 3006, 519, 15131, 538, 11589, 596, 5631, 519, 15055, 543, 29832, 755, 269, 13262, 666, 3142, 3339, 1272, 543, 10892, 950, 596, 616, 538, 513, 1533, 540, 3929, 771, 20880, 267, 855, 621, 666, 849, 1118, 596, 1413, 865, 856, 540, 1915, 269, 769, 1249, 267, 596, 666, 1831, 6213, 547, 1919, 269, 769, 930, 2665, 267, 713, 666, 1256, 1831, 513, 8467, 267, 1498, 3622, 519, 4222, 540, 519, 2034, 1259, 540, 1272, 269, 1411, 949, 1265, 621, 2352, 547, 3313, 1018, 596, 1616, 547, 798, 3006, 269, 570, 13903, 1419, 6560, 4749, 269, 5463, 4575, 543, 3478, 707, 1272, 2469, 267, 865, 547, 3717, 267, 666, 581, 513, 4161, 269, 1703, 568, 513, 12402, 585, 1082, 476, 273, 306, 547, 10027, 880, 4606, 540, 9636, 543, 27025, 8351, 609, 2123, 2773, 543, 3356, 538, 1272, 269, 634, 7887, 21677, 543, 7411, 602, 666, 581, 1336, 616, 2258, 18356, 267, 3284, 4331, 543, 29723, 1173, 344, 269, 20134, 476, 273, 666, 581, 1360, 533, 612, 574, 2065, 269, 1403, 596, 2661, 538, 519, 19319, 540, 476, 273, 267, 3668, 540, 1455, 2631, 666, 1419, 1118, 596, 8572, 547, 10646, 1063, 14810, 543, 1256, 2318, 4641, 609, 476, 273, 17574, 1272, 540, 1004, 4782, 513, 811, 7874, 543, 1447, 8013, 1272, 267, 1419, 547, 2057, 3929, 7965, 543, 18083, 269, 1411, 666, 2743, 519, 1655, 946, 540, 707, 1983, 267, 5796, 543, 4287, 540, 519, 2754, 538, 519, 3646, 547, 4196, 269, 13518, 540, 1010, 4998, 1143, 568, 1004, 19721, 543, 1360, 1480, 538, 2470, 269, 1411, 666, 2503, 513, 2603, 540, 2933, 563, 5415, 10096, 1315, 8847, 540, 1650, 1993, 338, 4820, 659, 639, 610, 1913, 267, 5220, 5627, 1650, 1993, 338, 4820, 659, 639, 888, 290, 4878, 23412, 9736, 476, 1708, 272, 966, 582, 1834, 269, 2353, 7126, 27616, 269, 0, 8256, 18870, 769, 28089, 30129, 26766, 454, 303, 4141, 729, 4535, 593, 5130, 476, 866, 267, 476, 5197, 280, 538, 11785, 267, 12590, 269, 3571, 3993, 267, 10906, 267, 5747, 950, 646, 729, 606, 10867, 865, 646, 729, 7550, 676, 3627, 30129, 269, 1261, 729, 6659, 538, 29430, 267, 9098, 269, 1261, 13984, 519, 2160, 540, 9098, 543, 4607, 519, 5207, 8956, 538, 1010, 1362, 630, 5226, 4883, 1040, 2290, 1032, 2663, 646, 12628, 856, 1317, 1010, 19033, 15189, 547, 2628, 585, 519, 9276, 269, 1306, 513, 1267, 267, 646, 4956, 547, 6443, 519, 7952, 269, 1261, 5206, 1010, 1101, 1433, 538, 519, 4832, 540, 476, 9264, 278, 543, 621, 729, 1572, 968, 307, 600, 1068, 2033, 543, 4033, 31888, 1848, 28089, 30129, 26766, 5747, 593, 5239, 476, 278, 267, 476, 16825, 280, 538, 22768, 267, 15930, 269, 1452, 32333, 6273, 1864, 547, 2328, 1082, 4158, 543, 12357, 2984, 269, 26766, 729, 1079, 1296, 2025, 950, 1010, 3993, 5747, 689, 968, 8256, 18870, 31865, 19890, 267, 713, 1131, 711, 581, 519, 1101, 6068, 835, 646, 1131, 6336, 547, 713, 4576, 563, 10955, 3258, 30129, 26766, 779, 1272, 1185, 513, 2101, 1764, 646, 1185, 593, 6965, 1310, 1010, 2669, 269, 968, 8256, 18870, 892, 11303, 1864, 543, 3833, 513, 1906, 540, 1010, 6068, 3283, 5747, 911, 326, 1227, 689, 713, 4576, 269, 901, 6273, 1864, 547, 2328, 2560, 19651, 811, 1543, 7498, 303, 4141, 4941, 4986, 547, 798, 609, 16515, 828, 17533, 2943, 621, 2141, 4299, 1010, 6068, 3283, 269, 634, 11371, 31335, 4564, 519, 19210, 543, 875, 621, 19754, 3388, 602, 2501, 538, 3346, 609, 621, 269, 634, 19036, 4564, 26766, 543, 1010, 23998, 585, 519, 4576, 269, 901, 1650, 12211, 547, 1010, 2123, 1272, 1317, 519, 8436, 1519, 519, 19036, 5747, 689, 15700, 519, 11371, 31335, 269, 634, 11371, 31335, 4564, 16515, 828, 17533, 269, 901, 4576, 7166, 1034, 540, 26766, 779, 6068, 3283, 267, 1519, 1010, 7385, 543, 1010, 3158, 269, 3571, 989, 3415, 689, 9561, 519, 1004, 646, 6068, 689, 519, 4576, 568, 519, 30254, 585, 713, 0, 10454, 2136, 2276, 543, 519, 5487, 334, 4658, 781, 14891, 6243, 630, 10861, 11403, 264, 28111, 538, 1271, 2127, 5103, 22195, 3823, 1480, 2924, 4507, 538, 5487, 657, 543, 519, 700, 303, 11403, 781, 2178, 13218, 609, 3624, 543, 10476, 269, 19791, 540, 772, 2529, 11607, 17442, 657, 9316, 1331, 281, 519, 6051, 540, 4892, 7508, 538, 2962, 630, 11085, 2026, 1070, 4831, 5991, 2117, 18352, 3646, 267, 519, 8851, 540, 2244, 15183, 267, 543, 26624, 2770, 269, 634, 2136, 2276, 2488, 5266, 2370, 4914, 6351, 547, 5487, 657, 269, 11192, 772, 2529, 269, 6351, 547, 5487, 657, 538, 674, 312, 1220, 278, 729, 6059, 547, 581, 1269, 275, 269, 279, 2929, 3379, 547, 1269, 275, 269, 274, 2929, 538, 476, 1220, 277, 269, 4107, 772, 2529, 269, 5351, 814, 5059, 593, 4831, 5991, 2117, 18352, 543, 632, 2173, 1456, 3646, 269, 8750, 532, 585, 632, 2173, 1456, 3646, 17379, 538, 476, 1220, 278, 543, 568, 2693, 547, 6175, 2417, 538, 476, 1220, 279, 269, 1715, 5351, 1982, 2127, 1331, 1857, 1072, 267, 2804, 1646, 267, 16324, 6963, 267, 543, 3540, 2486, 269, 634, 2136, 2276, 2229, 3788, 7255, 827, 519, 726, 697, 540, 5449, 543, 6967, 670, 332, 784, 1202, 4026, 757, 543, 741, 3885, 267, 609, 13218, 547, 519, 772, 2529, 11607, 3724, 539, 670, 332, 784, 1368, 518, 8759, 7952, 540, 519, 10476, 2782, 1974, 267, 945, 1631, 1297, 930, 476, 273, 267, 1822, 268, 274, 267, 1822, 7606, 269, 15431, 4940, 4317, 543, 2804, 2175, 538, 5487, 657, 27333, 723, 4824, 538, 930, 2127, 269, 634, 2197, 729, 18175, 24612, 547, 570, 1512, 476, 273, 593, 519, 772, 2529, 269, 3557, 4972, 781, 19338, 538, 7606, 1592, 630, 1220, 278, 264, 585, 1818, 1713, 3646, 547, 1225, 18571, 19338, 267, 4352, 1713, 2042, 2611, 269, 16241, 5191, 27333, 814, 4824, 267, 3226, 538, 4683, 2127, 269, 14956, 1756, 2504, 543, 946, 723, 12628, 13497, 2094, 476, 1960, 279, 269, 634, 2197, 27333, 814, 1500, 3356, 538, 29947, 2804, 15024, 607, 621, 22316, 547, 4019, 585, 15376, 538, 519, 2622, 11780, 9257, 630, 310, 15674, 1040, 901, 1867, 786, 581, 8242, 607, 11562, 5896, 4799, 10135, 306, 7797, 585, 6837, 267, 681, 299, 29340, 736, 0, 1432, 8604, 547, 581, 519, 15864, 851, 729, 519, 7291, 547, 948, 1250, 7084, 269, 898, 5280, 803, 13988, 519, 2796, 540, 1018, 519, 2278, 729, 6031, 849, 5280, 1747, 519, 1585, 4798, 883, 2796, 607, 1134, 269, 1234, 915, 532, 519, 1570, 729, 513, 3787, 2352, 267, 607, 621, 729, 3478, 547, 519, 1448, 1141, 594, 729, 3843, 547, 946, 607, 1454, 607, 594, 1223, 543, 1336, 1360, 454, 763, 30101, 14727, 8590, 14740, 4886, 7844, 676, 590, 826, 1299, 590, 826, 630, 1001, 273, 1070, 568, 606, 3742, 1383, 547, 1174, 7218, 685, 8456, 543, 5615, 4724, 2933, 543, 741, 2528, 607, 1134, 607, 519, 2528, 540, 1866, 269, 4340, 547, 4639, 14114, 26245, 684, 10202, 267, 17793, 345, 1512, 267, 24053, 267, 8055, 267, 22110, 1299, 6601, 14513, 630, 1220, 278, 1070, 968, 1607, 2203, 13514, 519, 1739, 2055, 630, 306, 826, 1299, 590, 826, 267, 476, 1220, 274, 2567, 630, 320, 264, 2060, 7247, 798, 596, 2697, 543, 1946, 286, 630, 321, 264, 1548, 15520, 3309, 8456, 543, 4978, 798, 596, 3398, 610, 7947, 543, 1946, 286, 630, 322, 264, 1548, 8789, 2686, 8456, 543, 4978, 798, 596, 3398, 610, 7947, 543, 1946, 286, 543, 630, 323, 264, 1215, 798, 707, 1699, 8456, 543, 4978, 1860, 707, 5872, 609, 824, 15520, 3309, 7218, 543, 1004, 540, 519, 8789, 2528, 888, 14454, 267, 713, 2376, 666, 581, 12595, 607, 513, 23674, 3561, 585, 5640, 5275, 513, 5758, 540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21797, 609, 803, 782, 1554, 888, 288, 281, 3143, 269, 15480, 839, 666, 1491, 1082, 3029, 1765, 22496, 619, 267, 6801, 593, 513, 5750, 11652, 1419, 1810, 1406, 991, 547, 581, 9308, 5645, 1472, 693, 782, 269, 3958, 267, 930, 18351, 11615, 946, 3059, 21797, 602, 666, 581, 27424, 2228, 563, 304, 281, 2052, 18351, 4346, 6530, 581, 2500, 609, 4079, 610, 1175, 1453, 888, 288, 281, 570, 7505, 9297, 814, 1044, 8810, 2500, 609, 2043, 689, 782, 2085, 2516, 1765, 18244, 543, 4079, 7567, 563, 304, 281, 1215, 798, 596, 2061, 13829, 593, 21797, 888, 288, 281, 4495, 519, 2359, 2319, 11887, 602, 3804, 5615, 723, 1044, 4835, 1242, 676, 519, 3461, 270, 637, 1211, 270, 743, 1304, 270, 30700, 993, 537, 978, 824, 5095, 1141, 713, 4480, 568, 1031, 1279, 2165, 268, 971, 607, 7890, 31852, 268, 535, 12184, 943, 2084, 856, 1935, 568, 4294, 269, 901, 1062, 7930, 6971, 519, 1297, 540, 21797, 2016, 267, 609, 519, 2856, 1373, 602, 607, 519, 2623, 3587, 811, 3824, 11712, 267, 5007, 15699, 786, 1831, 1447, 2556, 563, 304, 281, 1548, 4523, 952, 2576, 19380, 741, 21797, 888, 288, 281, 570, 7505, 11615, 723, 3710, 2987, 21336, 3599, 971, 607, 942, 856, 1974, 1107, 713, 2636, 2043, 547, 4584, 909, 1141, 789, 2451, 1055, 1247, 849, 7674, 607, 513, 771, 514, 1417, 633, 1996, 9561, 21797, 1586, 538, 2104, 7886, 563, 1103, 3932, 267, 621, 568, 4105, 547, 1174, 18351, 4346, 6530, 779, 25029, 547, 11694, 922, 2640, 4628, 269, 3509, 20887, 3295, 621, 1813, 547, 21603, 10486, 1063, 2757, 1949, 540, 8007, 543, 10751, 269, 1809, 6038, 267, 18351, 4346, 6530, 12662, 811, 8561, 593, 2318, 15699, 543, 2488, 606, 2500, 1797, 540, 8965, 3797, 543, 1983, 2866, 585, 2043, 693, 1169, 2085, 1377, 563, 12749, 476, 276, 12700, 1411, 9701, 5700, 6168, 570, 7505, 19004, 10017, 454, 307, 7505, 4346, 6530, 568, 606, 3078, 2361, 602, 814, 6591, 1713, 3007, 538, 2487, 1296, 269, 898, 568, 513, 2623, 14842, 4480, 1031, 547, 2333, 14909, 5615, 543, 6175, 24379, 5615, 676, 17923, 873, 609, 21797, 602, 666, 581, 22121, 585, 12587, 269, 3371, 616, 519, 1283, 476, 276, 5013, 596, 991, 547, 917, 827, 18351, 4346, 6530, 563, 272, 269, 570, 7505, 19004, 10017, 13201, 4706, 24306, 538, 7358, 656, 16448, 532, 454, 307, 7505, 4346, 6530, 568, 1759, 593, 519, 3741, 540, 1766, 656, 14555, 267, 799, 2829, 602, 2623, 666, 581, 9168, 998, 15699, 610, 10751, 269, 769, 513, 18351, 4346, 1062, 267, 21797, 616, 2016, 607, 12587, 585, 5551, 5615, 543, 3144, 2476, 585, 19888, 1600, 3283, 269, 901, 5713, 607, 513, 1106, 540, 2318, 15699, 267, 8716, 2043, 547, 4497, 538, 2318, 5615, 811, 4749, 563, 273, 269, 15480, 839, 3657, 3502, 3807, 8447, 27014, 454, 4407, 21797, 941, 12926, 2168, 3615, 971, 607, 29654, 610, 11113, 267, 2413, 2029, 814, 4847, 585, 3059, 21797, 547, 581, 8246, 538, 18351, 4346, 1949, 269, 7913, 21797, 666, 1491, 1082, 3029, 543, 2291, 607, 5691, 3615, 971, 607, 2798, 267, 3983, 2471, 610, 6801, 8655, 2390, 12032, 540, 1808, 2238, 563, 274, 269, 570, 7505, 8859, 625, 616, 2422, 995, 21661, 3509, 23994, 454, 307, 7505, 11615, 723, 1044, 8045, 6707, 538, 1585, 5468, 971, 607, 3506, 267, 30813, 267, 10506, 543, 14317, 7740, 1851, 1866, 269, 4256, 7145, 11710, 689, 519, 1249, 602, 789, 1683, 7525, 5955, 593, 2623, 676, 14785, 5551, 3527, 3533, 282, 789, 18663, 2043, 547, 4497, 538, 1808, 2318, 5615, 936, 942, 563, 275, 269, 634, 3590, 1772, 2859, 20537, 3807, 25166, 1841, 454, 307, 7505, 11615, 1599, 609, 1312, 5007, 543, 17271, 8404, 1949, 855, 12346, 8185, 593, 16312, 13917, 8404, 1282, 2038, 5933, 950, 2679, 1983, 1898, 585, 1140, 8724, 14909, 4093, 3587, 2352, 1510, 811, 15889, 12927, 906, 899, 18351, 17758, 829, 6913, 6859, 982, 3274, 1565, 1983, 4805, 1131, 1683, 7620, 563, 276, 269, 570, 7505, 8859, 625, 2052, 2142, 13242, 547, 11559, 13038, 10341, 454, 23777, 1227, 28110, 2509, 3527, 4724, 6454, 540, 1585, 1367, 16160, 6208, 630, 328, 4318, 8213, 2126, 3292, 946, 713, 1826, 540, 3797, 1070, 18351, 11615, 4228, 3564, 5578, 11601, 3646, 2519, 849, 593, 1732, 1582, 18221, 543, 1582, 30625, 4611, 689, 971, 8965, 2259, 936, 942, 563, 1103, 3932, 267, 18351, 4346, 6530, 568, 513, 11684, 543, 2500, 1907, 585, 22212, 2623, 2066, 513, 3099, 540, 5468, 269, 4706, 5072, 9114, 538, 1766, 656, 14555, 267, 543, 621, 18252, 21797, 607, 12587, 585, 14909, 5615, 269, 898, 666, 581, 8045, 1312, 25274, 543, 9308, 543, 814, 1044, 3811, 538, 3875, 3871, 267, 1519, 3506, 267, 30813, 267, 10506, 543, 14317, 7740, 1851, 1866, 269, 898, 4422, 3564, 1175, 3246, 16312, 13917, 8404, 855, 7512, 4835, 8116, 602, 7512, 1762, 6267, 610, 1004, 7092, 8213, 7567, 547, 2744, 12374, 538, 16565, 513, 951, 633, 6208, 609, 1582, 3146, 1189, 532, 2679, 7161, 593, 519, 4155, 2509, 6051, 2949, 3056, 547, 8902, 19824, 2429, 3461, 779, 1272, 12732, 282, 1818, 621, 606, 1271, 1907, 538, 938, 3646, 2509, 1732, 1072, 2359, 2949, 2336, 18600, 21509, 10241, 540, 570, 7505, 19004, 10017, 538, 11916, 6657, 454, 307, 7505, 4346, 6530, 568, 513, 8965, 3797, 4480, 602, 3096, 519, 3741, 540, 1766, 656, 14555, 547, 3337, 543, 12927, 2318, 2623, 269, 898, 3322, 14785, 14909, 2623, 609, 21797, 267, 799, 666, 1287, 581, 22121, 585, 5551, 3688, 610, 22864, 269, 901, 1826, 540, 8007, 1062, 814, 1044, 1031, 538, 1585, 5468, 971, 607, 3506, 267, 30813, 267, 543, 10506, 267, 543, 814, 1044, 3254, 547, 581, 2500, 538, 5355, 2623, 563, 1103, 4791, 2259, 267, 18351, 4346, 6530, 814, 8810, 547, 581, 3730, 538, 519, 2126, 540, 2790, 1072, 4713, 971, 607, 18624, 267, 4965, 267, 4160, 4713, 267, 543, 6219, 6057, 269, 898, 7512, 2550, 547, 9772, 2318, 5615, 602, 666, 948, 873, 4383, 741, 2589, 3927, 563, 3080, 1858, 1141, 18351, 4346, 6530, 814, 1044, 2523, 6225, 568, 538, 519, 2126, 540, 8213, 269, 28548, 6057, 4713, 616, 1950, 2175, 602, 2154, 14021, 2126, 3646, 282, 2705, 267, 1082, 2043, 3068, 7965, 4509, 865, 321, 686, 1214, 2899, 789, 4734, 2126, 6703, 269, 570, 7505, 11615, 723, 1044, 5189, 607, 606, 2500, 1907, 585, 5885, 6051, 3646, 676, 8716, 13261, 12003, 6127, 563, 763, 8007, 2861, 2203, 3091, 513, 2189, 2631, 540, 8404, 547, 2550, 2324, 2509, 1140, 8724, 13190, 689, 8213, 269, 15480, 839, 616, 2016, 856, 607, 15314, 585, 9363, 2973, 270, 865, 828, 543, 11504, 3797, 7886, 5781, 1247, 789, 666, 2663, 946, 891, 21797, 585, 8156, 2933, 609, 1875, 1673, 2607, 5829, 1582, 3146, 1189, 1949, 602, 1628, 2390, 741, 2635, 5615, 1519, 2469, 856, 585, 12129, 610, 9140, 3756, 610, 9413, 3092, 563, 307, 7505, 11615, 616, 849, 1373, 1031, 1369, 2790, 1072, 6703, 1141, 972, 729, 606, 6454, 538, 3461, 7180, 543, 513, 6175, 2938, 538, 4655, 19326, 1851, 2550, 945, 941, 9001, 1582, 30928, 21797, 563, 12234, 267, 713, 1826, 540, 1766, 656, 14555, 1759, 593, 12587, 14624, 1223, 581, 606, 3608, 1259, 547, 2232, 2792, 22907, 930, 2550, 1995, 11342, 1369, 8795, 2010, 540, 10076, 2657, 15136, 630, 300, 8461, 1040, 14904, 1451, 875, 2502, 1134, 15515, 6409, 539, 3157, 3947, 6225, 4093, 3842, 19610, 609, 922, 685, 17271, 9547, 6508, 689, 7589, 998, 5955, 17787, 12913, 3842, 13393, 17935, 2994, 5464, 15984, 609, 4808, 2059, 6322, 15415, 6278, 3853, 563, 4002, 15773, 540, 922, 2647, 2039, 31675, 2066, 8795, 22097, 2389, 7505, 9297, 5713, 835, 3119, 3483, 281, 547, 5000, 2318, 543, 5551, 5615, 5009, 513, 4743, 540, 2123, 19802, 689, 741, 2175, 602, 1169, 3461, 16858, 585, 269, 898, 711, 1152, 2488, 513, 2631, 540, 1852, 267, 855, 621, 849, 2337, 2043, 609, 2790, 1072, 4713, 1265, 7772, 538, 519, 3460, 2509, 513, 811, 7123, 1272, 1863, 540, 27047, 6493, 4547, 593, 676, 5007, 2188, 563, 2414, 2040, 909, 267, 1382, 814, 7000, 519, 1713, 7145, 18351, 11615, 723, 3254, 538, 5883, 1582, 30928, 2623, 1851, 2550, 269, 1358, 723, 1044, 3844, 547, 4543, 2043, 4383, 8965, 543, 3929, 4539, 689, 519, 4313, 540, 741, 1753, 607, 1134, 607, 1346, 5275, 6351, 693, 10076, 2657, 3028, 6703, 269, 1306, 7189, 543, 19353, 616, 17975, 3344, 7282, 4797, 1353, 543, 1620, 18351, 4346, 6530, 779, 3156, 1107, 621, 568, 7598, 1983, 899, 891, 602, 17362, 513, 1259, 2509, 9434, 7067, 3435, 585, 2104, 5481, 563, 290, 26578, 3359, 543, 7799, 14591, 540, 519, 570, 7505, 19004, 13979, 538, 10017, 454, 763, 18351, 4346, 1935, 267, 849, 1634, 607, 2623, 14842, 267, 814, 1044, 4922, 1031, 538, 6530, 585, 922, 7145, 538, 4657, 543, 17923, 5615, 269, 1635, 3246, 21797, 610, 12587, 585, 5551, 5615, 267, 2043, 616, 12592, 547, 3136, 27109, 1346, 5615, 269, 1717, 267, 899, 1022, 12191, 267, 519, 18351, 4346, 1935, 568, 711, 1510, 30852, 543, 7687, 563, 288, 2101, 9880, 540, 519, 18351, 4346, 1935, 568, 602, 621, 666, 581, 2938, 607, 6354, 11494, 543, 9013, 269, 31379, 8044, 602, 676, 8840, 1524, 1950, 5615, 883, 4130, 3334, 267, 2043, 1831, 5059, 9003, 593, 8391, 513, 8007, 2864, 982, 4835, 1944, 543, 22992, 3024, 532, 519, 2623, 1689, 269, 3958, 267, 930, 8044, 602, 621, 666, 1291, 547, 513, 3668, 540, 13190, 267, 1141, 2043, 949, 1152, 16783, 609, 5551, 5615, 1247, 789, 616, 1373, 30039, 563, 5194, 20159, 568, 519, 1761, 5683, 4145, 4478, 15699, 269, 634, 946, 540, 10751, 610, 2942, 15699, 538, 18351, 11615, 666, 1291, 547, 26516, 4539, 971, 607, 2799, 14699, 610, 4160, 538, 2043, 945, 798, 711, 4431, 1134, 547, 891, 2409, 269, 5015, 267, 621, 666, 1711, 606, 1604, 1141, 2043, 616, 7683, 12721, 1996, 1142, 824, 585, 12587, 799, 1223, 1267, 538, 2942, 4606, 2509, 741, 9905, 563, 5194, 9880, 540, 519, 18351, 4346, 1935, 568, 602, 621, 1281, 711, 2232, 5817, 2152, 4929, 1808, 1966, 5615, 269, 1280, 1383, 267, 952, 606, 1367, 814, 6219, 6057, 2152, 1813, 547, 8194, 610, 2790, 1072, 9620, 267, 3274, 14785, 873, 585, 17712, 8724, 689, 3075, 946, 786, 711, 4194, 519, 3597, 2014, 540, 741, 8213, 563, 7661, 267, 18351, 11615, 949, 711, 2141, 2489, 1125, 547, 1483, 3734, 3871, 3544, 540, 519, 6417, 1604, 538, 799, 789, 941, 8045, 269, 11773, 1369, 513, 18351, 1062, 1281, 711, 8850, 14377, 547, 1967, 593, 922, 1378, 950, 12394, 2147, 3853, 1510, 971, 12587, 563, 1103, 3932, 267, 1247, 519, 18351, 4346, 1935, 814, 8810, 2500, 538, 1978, 8658, 1369, 6530, 267, 621, 568, 1271, 547, 11760, 922, 30852, 543, 7687, 1354, 14045, 2436, 610, 711, 547, 6451, 621, 883, 3797, 2853, 269, 1635, 3257, 865, 649, 2327, 602, 938, 7218, 685, 2115, 616, 5265, 1558, 1247, 26936, 938, 7881, 609, 1655, 2259, 16097, 1107, 3056, 721, 782, 2509, 2318, 4093, 1927, 256, 0, 2108, 2026, 5145, 331, 720, 1483, 10040, 892, 568, 513, 4640, 538, 799, 1082, 733, 27631, 3601, 610, 4773, 540, 2244, 616, 12349, 543, 8087, 547, 1106, 513, 811, 1713, 267, 811, 3407, 851, 540, 1483, 10040, 269, 769, 4683, 1646, 267, 713, 1935, 568, 4922, 1031, 547, 9192, 4130, 3601, 883, 513, 811, 9645, 8778, 540, 2244, 602, 666, 581, 1031, 585, 513, 3677, 1646, 1788, 563, 13706, 725, 538, 7464, 24529, 1306, 5145, 331, 720, 454, 2080, 616, 930, 1271, 9270, 547, 3314, 7282, 7011, 1782, 1483, 10040, 912, 268, 13038, 16296, 21733, 9974, 281, 1306, 5145, 331, 720, 14122, 11449, 2789, 1367, 3601, 610, 6266, 267, 4749, 689, 1114, 5411, 267, 547, 4020, 513, 2582, 267, 811, 1713, 4062, 540, 3959, 563, 268, 2098, 11238, 543, 8092, 2422, 281, 4197, 519, 1858, 779, 1990, 11238, 9993, 543, 2244, 946, 4507, 568, 835, 540, 519, 1034, 1271, 3344, 540, 10198, 269, 26157, 3601, 949, 5512, 1114, 2244, 946, 3681, 610, 2799, 5860, 267, 2810, 519, 2949, 1871, 540, 519, 11368, 1858, 563, 268, 4886, 15783, 281, 1306, 5145, 331, 720, 6663, 547, 10625, 519, 8087, 3601, 685, 1646, 1761, 269, 901, 666, 1331, 2679, 811, 1713, 3889, 267, 6404, 14025, 7835, 267, 610, 824, 3785, 602, 1131, 711, 723, 1044, 15164, 593, 5094, 1612, 26118, 563, 268, 32468, 11868, 543, 9603, 7634, 281, 589, 3811, 31174, 720, 4749, 19329, 3318, 27410, 609, 3959, 5411, 543, 3573, 1813, 2079, 547, 3313, 519, 2783, 543, 1761, 9465, 2404, 609, 1142, 3959, 563, 268, 10369, 7033, 532, 281, 3204, 8973, 10198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 538, 519, 14297, 2749, 540, 1715, 3840, 267, 972, 5030, 1079, 16529, 2043, 910, 15609, 267, 513, 2487, 10927, 1490, 21148, 609, 4195, 2093, 543, 17050, 267, 543, 8751, 267, 606, 4810, 3318, 3168, 585, 1007, 3255, 547, 1332, 269, 5637, 1185, 4294, 585, 513, 3059, 6725, 2990, 693, 513, 12021, 10509, 6109, 267, 11627, 622, 577, 10298, 780, 9802, 320, 267, 945, 729, 2141, 11235, 547, 1451, 543, 3082, 267, 4956, 547, 2936, 519, 1739, 5346, 2994, 1352, 1224, 2228, 269, 2991, 11488, 1200, 3498, 267, 1352, 31372, 585, 1079, 2395, 1354, 13167, 513, 15826, 267, 3358, 4757, 547, 519, 17849, 9614, 267, 982, 6362, 1864, 585, 1010, 942, 543, 26159, 875, 1200, 1983, 13988, 9985, 609, 1018, 789, 941, 5275, 269, 2701, 849, 4448, 609, 11627, 622, 577, 593, 21912, 1103, 267, 2502, 24015, 609, 741, 1543, 1247, 7996, 585, 2417, 3377, 269, 8528, 25402, 267, 8746, 538, 1010, 1279, 1296, 540, 1995, 267, 3576, 1776, 8905, 269, 1261, 8359, 547, 1289, 519, 15679, 2047, 1310, 26446, 1010, 16056, 267, 4743, 621, 1131, 6542, 14942, 11036, 269, 1717, 267, 646, 3357, 1055, 607, 10669, 1506, 543, 791, 520, 1304, 282, 796, 2041, 4385, 560, 547, 1864, 267, 713, 2451, 513, 11877, 6492, 538, 519, 16461, 3438, 781, 5023, 269, 3502, 1152, 1705, 646, 6633, 713, 8115, 267, 855, 646, 4797, 8757, 856, 23494, 3842, 15737, 543, 7125, 5103, 2312, 5528, 6998, 23078, 711, 547, 3346, 14578, 2394, 1310, 519, 11042, 780, 288, 3018, 2663, 267, 22508, 2299, 585, 15609, 267, 1352, 4607, 606, 27592, 585, 606, 5967, 269, 6936, 547, 1106, 267, 1352, 2366, 1776, 3507, 894, 4063, 1369, 476, 2190, 3108, 267, 556, 3530, 15256, 1200, 10761, 827, 11836, 519, 2319, 269, 11531, 267, 8751, 1917, 337, 644, 3101, 569, 15197, 519, 834, 7224, 3346, 257, 4341, 855, 694, 564, 1117, 3623, 1836, 267, 18468, 971, 3652, 588, 604, 1194, 15131, 780, 7628, 1200, 5967, 267, 15609, 19557, 18906, 1947, 267, 4280, 16367, 2055, 267, 543, 4951, 9758, 7279, 2509, 6061, 2042, 5499, 569, 910, 7907, 3810, 12595, 693, 11627, 622, 577, 269, 5403, 17942, 1613, 267, 1352, 4050, 2740, 1524, 1808, 2798, 5941, 1282, 519, 5870, 267, 799, 5280, 3337, 1200, 1412, 628, 1678, 596, 262, 4484, 267, 10223, 1946, 1352, 5433, 1352, 9364, 581, 513, 1390, 3514, 1759, 593, 1346, 1360, 3877, 780, 6944, 337, 3320, 267, 950, 1572, 585, 1010, 5967, 267, 8751, 986, 3387, 1194, 827, 1010, 2250, 10781, 1510, 8220, 873, 25006, 547, 11627, 622, 577, 781, 3853, 269, 3571, 3668, 540, 7041, 10630, 14605, 593, 1864, 269, 2598, 1952, 31212, 267, 646, 759, 9285, 547, 14700, 519, 15313, 619, 262, 28600, 525, 2022, 17942, 1613, 267, 15691, 4320, 1522, 22771, 585, 2298, 269, 898, 4769, 1405, 780, 2171, 4060, 5293, 1354, 2901, 4862, 4376, 811, 269, 2755, 15609, 7283, 3461, 267, 11173, 547, 2170, 9797, 609, 11627, 622, 577, 2228, 267, 8751, 8057, 5051, 1964, 1652, 269, 1879, 1869, 4986, 8452, 1310, 1614, 4374, 267, 8751, 13264, 7014, 267, 943, 11238, 1169, 1554, 14053, 4267, 269, 901, 10770, 21556, 540, 28972, 6368, 19430, 513, 29523, 3210, 689, 11627, 622, 577, 267, 26655, 8751, 602, 1010, 2623, 729, 30849, 543, 8694, 782, 2792, 780, 7661, 267, 15609, 3893, 519, 3377, 281, 1352, 15354, 519, 2816, 256, 4173, 1178, 4109, 1145, 2429, 519, 3003, 1184, 695, 821, 3870, 2406, 1996, 1866, 3299, 2523, 8751, 781, 267, 4171, 24491, 16531, 5828, 883, 32238, 269, 1306, 1352, 5423, 547, 7832, 593, 1200, 3078, 3460, 267, 15609, 6785, 1352, 7640, 539, 1454, 540, 1200, 1967, 547, 2241, 1330, 5052, 625, 267, 9639, 267, 1620, 6302, 267, 543, 6029, 7118, 652, 7071, 8164, 2009, 269, 16497, 1134, 4121, 8197, 256, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 22081, 798, 596, 3927, 1246, 909, 609, 1761, 12820, 1310, 26446, 513, 2816, 3498, 610, 11264, 606, 5967, 888, 2026, 606, 3642, 1893, 2203, 594, 1810, 1405, 723, 2123, 1995, 538, 519, 2816, 3406, 1184, 267, 855, 1934, 616, 930, 4388, 1384, 272, 269, 19478, 281, 27189, 513, 10531, 4757, 982, 6362, 519, 16108, 585, 741, 942, 543, 11589, 707, 1719, 538, 519, 2990, 269, 5269, 2386, 547, 2446, 1945, 689, 519, 5967, 610, 2816, 6609, 547, 1397, 602, 596, 6976, 3007, 780, 273, 269, 25439, 11910, 281, 1403, 596, 723, 519, 16108, 781, 6049, 1297, 267, 2119, 10912, 873, 547, 1246, 909, 269, 2142, 7874, 267, 6338, 3054, 267, 543, 22679, 790, 2436, 789, 723, 1022, 10311, 827, 519, 2990, 780, 274, 269, 4317, 9012, 281, 1403, 519, 2754, 610, 16108, 814, 606, 3742, 1514, 2923, 4527, 267, 596, 666, 6494, 873, 513, 5048, 547, 1246, 909, 269, 2142, 30251, 543, 16614, 267, 543, 1810, 1405, 581, 22350, 10728, 538, 707, 1935, 780, 275, 269, 27016, 585, 513, 15863, 281, 1403, 596, 1810, 1405, 5873, 1394, 689, 519, 16108, 1310, 513, 1906, 2395, 267, 1810, 1405, 11784, 269, 1358, 949, 581, 11112, 609, 824, 10457, 610, 723, 711, 1500, 513, 3375, 2943, 10640, 25147, 3197, 609, 3982, 14789, 269, 634, 1650, 1058, 11200, 998, 741, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 267, 10771, 519, 2956, 540, 6568, 267, 7881, 267, 543, 1966, 9010, 563, 763, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 269, 0, 6637, 476, 1015, 281, 10435, 513, 16338, 998, 6355, 910, 4197, 18844, 4206, 27448, 543, 8177, 30799, 692, 5970, 596, 2479, 26927, 3139, 540, 4358, 707, 1378, 1870, 286, 9320, 596, 723, 513, 1390, 2856, 585, 513, 1587, 602, 1223, 948, 1004, 267, 899, 513, 3859, 14617, 8755, 2775, 585, 2950, 1510, 5201, 269, 2107, 5310, 596, 4312, 2219, 827, 2870, 513, 3028, 602, 1131, 3142, 7772, 547, 1866, 267, 899, 12180, 1187, 2621, 585, 3214, 538, 707, 8378, 269, 18786, 513, 1870, 666, 3100, 18447, 267, 2523, 950, 621, 2501, 547, 4466, 2724, 547, 2490, 707, 9909, 883, 4641, 269, 1809, 1810, 1405, 5855, 256, 1703, 616, 1082, 2081, 547, 6318, 7482, 585, 707, 13085, 2093, 267, 1256, 952, 596, 2811, 1869, 538, 1647, 1153, 269, 4653, 649, 3513, 1451, 782, 827, 7715, 4206, 27448, 543, 1764, 10115, 1107, 1079, 2189, 2409, 540, 14104, 3785, 602, 666, 1711, 2318, 1689, 538, 938, 1158, 780, 1262, 290, 992, 4206, 27448, 281, 589, 7991, 20306, 677, 4373, 5331, 1373, 2111, 547, 2445, 1507, 5666, 540, 2724, 689, 6266, 540, 1114, 1004, 945, 3494, 538, 707, 1788, 1107, 4992, 7168, 3579, 267, 1318, 286, 2334, 781, 1018, 7715, 4206, 27448, 568, 782, 827, 256, 1635, 4687, 707, 1650, 543, 3853, 2228, 267, 596, 16436, 2834, 11570, 630, 3697, 2828, 267, 1920, 2818, 267, 543, 1256, 21046, 14386, 547, 3565, 1022, 2179, 789, 6999, 2509, 1818, 707, 1788, 4755, 269, 2368, 2442, 7715, 4206, 27448, 5867, 1331, 918, 1157, 560, 6621, 267, 1473, 20672, 690, 334, 267, 543, 3619, 293, 1495, 9288, 780, 4131, 781, 1491, 513, 1413, 693, 875, 713, 1568, 1210, 938, 4505, 1383, 269, 1403, 596, 4941, 547, 3132, 1346, 3859, 14617, 8755, 7547, 267, 596, 1522, 1305, 909, 513, 2985, 593, 513, 7715, 4206, 27448, 3135, 24223, 1946, 707, 8798, 568, 1271, 267, 875, 1454, 621, 3790, 547, 5478, 1142, 1769, 267, 543, 1018, 2640, 1394, 619, 786, 4309, 1759, 593, 741, 9295, 2157, 269, 1452, 829, 802, 666, 2039, 689, 2241, 9684, 3917, 537, 6835, 547, 4890, 2472, 2899, 789, 2811, 4712, 269, 1306, 811, 1004, 1831, 6273, 676, 707, 5692, 543, 6430, 547, 13863, 538, 267, 596, 3513, 4166, 3914, 707, 2508, 24597, 3804, 1107, 3850, 596, 547, 2527, 1790, 28558, 1346, 1272, 19145, 8755, 7547, 2439, 3719, 7227, 267, 972, 781, 1945, 3116, 1175, 607, 2629, 607, 8757, 707, 2883, 3077, 269, 1879, 4881, 513, 3811, 7715, 4206, 27448, 5859, 267, 596, 849, 991, 547, 3262, 519, 2262, 2484, 543, 2647, 269, 9523, 707, 1788, 3095, 593, 1514, 2923, 267, 4757, 1761, 18793, 267, 543, 2995, 4896, 945, 786, 6432, 827, 707, 5863, 2856, 269, 2991, 782, 267, 1169, 1394, 518, 12523, 2439, 1262, 25842, 30799, 281, 30825, 609, 20828, 4373, 3086, 1577, 781, 2911, 827, 1776, 1259, 547, 8804, 4213, 5059, 593, 6061, 2042, 543, 5355, 2729, 281, 1764, 10115, 269, 9521, 2757, 9520, 945, 5631, 1416, 827, 12434, 267, 1764, 9520, 1616, 547, 1294, 1312, 2883, 7024, 6730, 6209, 2242, 538, 2486, 610, 519, 1604, 269, 1358, 1174, 602, 3006, 267, 2921, 4220, 593, 14262, 10124, 666, 1291, 547, 8101, 12587, 1247, 5466, 10296, 2152, 899, 6710, 267, 2069, 267, 1072, 267, 2973, 1648, 267, 543, 4264, 6683, 780, 2690, 3236, 267, 4952, 513, 13998, 3743, 20090, 3957, 15609, 269, 2701, 25395, 513, 27503, 3979, 23492, 1572, 6129, 23530, 267, 799, 6272, 10097, 3859, 8440, 585, 1055, 3766, 5090, 5321, 269, 18833, 602, 6634, 540, 20338, 3668, 6325, 1379, 2959, 267, 1352, 16976, 547, 1683, 6079, 3854, 547, 948, 873, 1332, 269, 3683, 942, 267, 1200, 5092, 17188, 1055, 3946, 727, 569, 607, 6129, 23530, 21040, 2066, 519, 11782, 267, 8744, 7791, 1648, 547, 5215, 540, 10820, 543, 10451, 2635, 7024, 585, 15609, 269, 5272, 7853, 17993, 2439, 1103, 3932, 267, 9870, 7482, 585, 707, 2038, 22533, 23492, 3085, 1405, 2141, 2154, 5679, 12177, 593, 8492, 262, 9885, 610, 5275, 856, 14547, 1829, 716, 832, 269, 3414, 3860, 4485, 899, 7715, 4206, 27448, 543, 1764, 10115, 267, 596, 1932, 666, 12260, 2200, 2877, 547, 2981, 707, 5075, 776, 2035, 883, 19178, 269, 1656, 3314, 267, 1100, 2339, 1141, 596, 2097, 689, 610, 875, 2025, 596, 616, 267, 3025, 814, 519, 1761, 547, 8141, 1713, 1689, 998, 20835, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 12708, 6651, 547, 7216, 21178, 720, 3399, 1575, 8750, 532, 538, 4000, 454, 22152, 320, 568, 1490, 21148, 609, 606, 29426, 6891, 267, 543, 519, 23492, 5117, 568, 14762, 609, 5499, 2093, 543, 16529, 11639, 269, 1717, 267, 835, 540, 519, 7887, 2591, 5185, 676, 2038, 22533, 30596, 538, 4000, 568, 1569, 547, 7616, 269, 3509, 30596, 538, 4000, 6560, 547, 5150, 519, 2556, 3854, 547, 10131, 543, 4336, 741, 4213, 269, 901, 2376, 786, 2263, 519, 1898, 3391, 547, 2038, 22533, 23492, 7616, 538, 4000, 267, 1519, 519, 1585, 7616, 3681, 2139, 267, 519, 2591, 543, 3255, 267, 543, 1883, 8100, 585, 2417, 1344, 563, 763, 7616, 5251, 538, 4000, 634, 7616, 5251, 585, 2038, 22533, 30596, 538, 4000, 568, 6422, 543, 9687, 6385, 269, 2755, 2757, 2959, 540, 7616, 971, 607, 4871, 12029, 543, 14679, 3854, 616, 2139, 267, 789, 949, 581, 3908, 543, 4101, 547, 1569, 585, 30596, 1510, 513, 8810, 3950, 2594, 610, 32097, 269, 1717, 267, 4000, 814, 14754, 519, 4473, 540, 4244, 7616, 522, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 29642, 1299, 18598, 1315, 18844, 4206, 27448, 1315, 8177, 30799, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 5981, 267, 606, 4810, 2951, 8665, 267, 6170, 1034, 540, 1010, 1554, 25640, 9983, 16683, 4566, 585, 6004, 269, 543, 11427, 269, 16399, 269, 1358, 1185, 4280, 1864, 547, 6582, 513, 29413, 1205, 12537, 547, 8661, 741, 2027, 1554, 269, 2991, 6236, 1585, 3681, 267, 646, 4956, 593, 634, 10469, 564, 1014, 1763, 677, 23392, 16629, 3626, 538, 20098, 30988, 267, 2348, 1224, 986, 1324, 8039, 827, 922, 25894, 543, 30664, 764, 762, 3028, 780, 2026, 546, 23677, 12306, 267, 646, 1500, 31681, 585, 519, 9835, 2290, 5174 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2252, 972, 941, 606, 3169, 543, 8471, 4336, 540, 10963, 543, 19439, 906, 267, 649, 1058, 1287, 723, 513, 1455, 2268, 540, 519, 4110, 540, 15698, 543, 8474, 267, 8103, 543, 28877, 267, 540, 1114, 6082, 269, 7102, 2962, 267, 799, 568, 711, 10146, 539, 538, 519, 1657, 5018, 4336, 267, 786, 711, 581, 1572, 513, 6760, 267, 610, 27052, 607, 971, 267, 4849, 676, 1346, 945, 723, 606, 1719, 538, 519, 21000, 1588, 563, 24979, 830, 543, 15722, 7321, 3594, 616, 4081, 3594, 585, 11239, 269, 1452, 4574, 941, 2854, 5097, 676, 1053, 543, 1683, 2565, 2079, 540, 17235, 543, 15722, 7321, 676, 674, 344, 31121, 667, 739, 4141, 341, 20391, 563, 13625, 1234, 2914, 3876, 1403, 707, 1557, 568, 2907, 2854, 543, 2115, 547, 581, 22621, 585, 1697, 16105, 267, 8239, 543, 10259, 267, 713, 4781, 568, 585, 596, 269, 1284, 666, 2901, 2087, 707, 1603, 1354, 707, 4116, 634, 4828, 2201, 9197, 1307, 1656, 15722, 529, 1335, 660, 12034, 519, 960, 267, 610, 1118, 28303, 1310, 269, 10758, 29308, 715, 8582, 9950, 1087, 599, 634, 12280, 6755, 531, 1399, 1772, 1323, 31478, 667, 2678, 1370, 269, 634, 3390, 540, 519, 2669, 15163, 543, 2436, 610, 711, 621, 568, 606, 3608, 6760, 15658, 1370, 12211, 547, 9297, 1317, 538, 1931, 547, 5963, 2626, 519, 2243, 267, 835, 1590, 9260, 1312, 519, 8589, 3790, 543, 2640, 540, 713, 2259, 7868, 824, 10963, 538, 519, 5664, 12698, 267, 799, 941, 9244, 1065, 3234, 663, 539, 267, 3769, 31783, 543, 13112, 337, 3599, 269, 2755, 519, 5449, 729, 7361, 513, 851, 540, 30650, 599, 267, 519, 8545, 3238, 29595, 2832, 8393, 269, 3973, 267, 972, 729, 1159, 10212, 1782, 540, 17028, 7458, 5370, 899, 16536, 543, 10269, 543, 19814, 3775, 828, 625, 543, 1346, 676, 7979, 9155, 563, 290, 745, 601, 543, 8966, 10751, 568, 519, 2165, 1031, 547, 4766, 7803, 10751, 799, 568, 2808, 30849, 1813, 547, 519, 7092, 610, 1208, 559, 2747, 621, 3123, 593, 519, 1268, 269, 14265, 601, 543, 8966, 10751, 814, 513, 1360, 1279, 1686, 543, 568, 1631, 7074, 538, 519, 11156, 563, 4002, 9197, 1307, 543, 15722, 880, 906, 729, 519, 1101, 1350, 2130, 2203, 540, 606, 2300, 9461, 908, 960, 540, 18594, 3645, 10883, 1440, 28619, 269, 1306, 519, 2296, 14544, 670, 700, 589, 19134, 11329, 856, 538, 476, 2735, 273, 281, 28564, 5069, 25343, 2142, 764, 7559, 711, 1152, 1317, 646, 8815, 609, 1010, 2093, 543, 729, 25623, 676, 873, 855, 849, 1317, 540, 2142, 764, 7559, 779, 2312, 32567, 17748, 540, 519, 2186, 540, 4305, 593, 799, 646, 729, 7722, 563, 24979, 830, 543, 15722, 7321, 8074, 1504, 3883, 476, 272, 623, 326, 476, 272, 268, 2108, 3891, 1185, 1831, 865, 4625, 12842, 538, 5128, 267, 543, 9678, 689, 1010, 8593, 3298, 602, 646, 23487, 539, 5870, 267, 711, 1152, 1010, 28867, 8014, 267, 855, 1022, 835, 693, 782, 1848, 901, 10839, 267, 2348, 1044, 1767, 865, 2038, 593, 267, 2731, 10525, 875, 9678, 681, 2532, 565, 23364, 990, 568, 689, 3025, 3116, 538, 1010, 1272, 563, 1607, 1383, 13317, 15722, 7321, 4828, 568, 3370, 585, 3872, 543, 21141, 5301, 1152, 269, 1403, 596, 991, 513, 2688, 1557, 610, 1382, 1957, 593, 713, 1888, 5225, 946, 938, 1603, 2533, 269, 4828, 29248, 790, 2593, 3091, 6325, 2688, 1557, 1603, 2533, 602, 666, 948, 596, 547, 4309, 1164, 9344, 543, 23666, 707, 20485, 609, 519, 2298, 540, 1142, 1557, 610, 1382, 1957, 596, 1688, 538, 563, 3891, 849, 13290, 547, 1205, 681, 2532, 565, 23364, 990, 547, 21334, 676, 1210, 5626, 2247, 31521, 543, 12879, 269, 623, 21807, 597, 344, 568, 1978, 602, 681, 2532, 565, 23364, 990, 568, 519, 835, 3297, 519, 15294, 619, 1256, 1498, 646, 814, 1100, 6405, 2963, 269, 1261, 6499, 681, 2532, 565, 23364, 990, 547, 32380, 16153, 547, 519, 10963, 269, 476, 275, 269, 4762, 26555, 281, 1703, 616, 1079, 1292, 7526, 538, 17235, 543, 15722, 7321, 563, 1103, 17235, 543, 15722, 7321, 267, 667, 739, 4141, 341, 20391, 8942, 547, 9446, 519, 6988, 540, 681, 2532, 565, 23364, 990, 781, 2790, 4720, 269, 589, 3119, 6174, 585, 713, 4305, 568, 1010, 946, 540, 519, 5339, 3926, 20451, 269, 11635, 344, 568, 519, 4334, 1063, 1018, 568, 1767, 543, 1018, 568, 5921, 267, 610, 1018, 4523, 543, 1018, 568, 4397, 547, 4755, 563, 2005, 568, 1634, 607, 519, 2669, 15163, 610, 3854, 10751, 269, 2368, 849, 3274, 1289, 621, 606, 11056, 269, 1809, 8726, 596, 8359, 547, 1289, 621, 267, 519, 5377, 1899, 568, 602, 3854, 10751, 568, 519, 10751, 17929, 2576, 1336, 16944, 540, 513, 6760, 568, 27052, 676, 2669, 563, 303, 5142, 976, 15722, 7321, 1656, 29407, 595, 3234, 11659, 4828, 269, 476, 4343, 276, 275, 1913, 630, 1428, 3817, 264, 4828, 538, 269, 4633, 547, 519, 20271, 894, 9549, 10985, 267, 7812, 20999, 945, 729, 519, 5851, 14199, 538, 476, 1960, 274, 267, 11130, 602, 585, 1082, 10963, 11783, 1403, 596, 616, 519, 3312, 5856, 540, 713, 1557, 543, 1100, 3476, 6999, 547, 723, 519, 1557, 3370, 593, 519, 5177, 10749, 3896, 563, 290, 2734, 531, 10751, 267, 519, 1102, 997, 5406, 540, 2168, 1928, 2390, 513, 1268, 779, 1560, 607, 10751, 585, 513, 6760, 610, 1102, 3555, 269, 11283, 531, 19439, 906, 1331, 1166, 690, 3101, 267, 25588, 267, 32107, 267, 4573, 7976, 267, 1025, 4193, 267, 543, 519, 946, 540, 519, 6006, 543, 10788, 800, 269, 769, 513, 3376, 2631, 267, 519, 2165, 849, 18575, 519, 2168, 5676, 1456, 563, 296, 26091, 5675, 17130, 476, 273, 1557, 609, 2203, 2626, 269, 1411, 1058, 6108, 827, 476, 2412, 3764, 593, 713, 4305, 269, 3503, 827, 519, 1739, 1888, 269, 2368, 1004, 3494, 602, 972, 1058, 581, 6378, 19439, 906, 585, 1142, 1826, 540, 6760, 269, 8448, 338, 267, 2705, 267, 8044, 602, 519, 6381, 540, 606, 1367, 6760, 267, 543, 519, 8404, 585, 22867, 621, 267, 1058, 2141, 581, 3144, 883, 2272, 950, 14045, 593, 519, 10751, 563, 24979, 1307, 899, 12638, 267, 22149, 616, 711, 513, 2186, 540, 513, 12161, 602, 513, 1268, 835, 621, 536, 1723, 345, 646, 610, 1352, 568, 949, 711, 6857, 616, 579, 2731, 737, 27570, 267, 621, 568, 513, 6760, 865, 585, 519, 10963, 799, 616, 17847, 995, 547, 23408, 543, 812, 11587, 267, 865, 789, 1058, 711, 536, 8483, 1508, 676, 1175, 8380, 513, 1268, 883, 513, 21569, 269, 0, 736, 13012, 2991, 18548, 333, 1014, 2782, 267, 681, 1901, 18984, 643, 832, 12846, 14970, 2060, 454, 763, 6560, 8694, 609, 519, 4303, 2023, 13458, 15716, 9896, 593, 476, 2641, 5437, 476, 1960, 276, 282, 519, 10700, 4528, 540, 519, 4708, 6876, 729, 9896, 476, 1691, 5412, 476, 1960, 276, 538, 8303, 269, 2201, 476, 1556, 5147, 476, 1960, 276, 267, 8136, 540, 3115, 28362, 11986, 29447, 1186, 6390, 4229, 9944, 2596, 13158, 14150, 631, 331, 14508, 24089, 13026, 519, 6167, 16938, 6870, 1858, 9732, 540, 590, 516, 321, 1066, 3821, 538, 9456, 18548, 11844, 519, 1747, 3152, 982, 5216, 267, 1822, 2367, 1185, 1044, 7166, 1369, 519, 590, 516, 321, 1066, 3821, 1973, 321, 987, 630, 2865, 6690, 723, 1044, 30461, 547, 18548, 14269, 752, 13463, 671, 8513, 1040, 634, 2136, 8315, 10466, 10414, 2073, 6719, 593, 519, 2666, 676, 513, 476, 6110, 268, 13681, 755, 20314, 550, 540, 10656, 4708, 26283, 267, 10656, 321, 520, 267, 8959, 547, 3247, 519, 4884, 779, 28958, 676, 519, 966, 11965, 543, 519, 1739, 32003, 269, 2311, 519, 4098, 540, 519, 2112, 267, 519, 23886, 1014, 2229, 5280, 6186, 1142, 519, 23886, 543, 18548, 14269, 752, 4229, 563, 4002, 28465, 5412, 267, 513, 32692, 1063, 519, 18665, 26400, 728, 523, 543, 23886, 7128, 7018, 693, 513, 4155, 23026, 2282, 15662, 377, 788, 25155, 324, 269, 12866, 18665, 26400, 728, 523, 941, 7166, 538, 513, 9496, 719, 543, 1079, 23886, 2384, 18779, 1185, 1044, 13676, 269, 769, 476, 1960, 277, 267, 519, 2475, 2322, 8833, 593, 519, 18548, 14269, 752, 2359, 547, 2673, 922, 6967, 13218, 609, 5771, 626, 2516, 543, 1491, 2476, 13201, 534, 17487, 490, 1263, 328, 24089, 267, 945, 729, 3238, 538, 22504, 7916, 6928, 906, 547, 519, 2197, 267, 689, 1010, 2990, 540, 3493, 14280, 10579, 540, 4347, 775, 269, 769, 476, 1220, 278, 267, 18548, 11844, 779, 8128, 2847, 12097, 519, 4961, 4721, 540, 6266, 540, 540, 5449, 18665, 26400, 728, 523, 563, 289, 657, 11844, 8092, 17719, 918, 1571, 772, 590, 269, 22307, 1512, 454, 23562, 10679, 2395, 2663, 267, 593, 476, 2918, 5181, 267, 606, 11175, 540, 3606, 3119, 2093, 585, 513, 4708, 11063, 729, 6603, 538, 1715, 3840, 4975, 1063, 519, 3486, 26110, 540, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 267, 23886, 807, 543, 519, 21598, 312, 269, 589, 476, 2568, 6377, 24044, 13933, 3357, 883, 1764, 593, 476, 1321, 5239, 267, 543, 593, 476, 272, 5437, 4708, 12909, 3323, 538, 4303, 2023, 267, 11882, 563, 763, 1523, 540, 31735, 807, 267, 513, 2582, 1533, 585, 782, 3162, 23577, 545, 9082, 267, 7153, 1369, 519, 3735, 476, 1704, 628, 2540, 543, 6591, 23146, 676, 1259, 540, 519, 13524, 10601, 19129, 569, 6929, 3350, 269, 634, 8003, 540, 5395, 2125, 267, 15867, 1846, 543, 6215, 8576, 525, 267, 26948, 519, 8003, 540, 31735, 807, 538, 476, 4572, 280, 267, 729, 29064, 593, 476, 272, 5412, 476, 4489, 279, 267, 1739, 519, 796, 2305, 540, 519, 3557, 540, 6215, 8576, 525, 267, 15867, 1846, 543, 5395, 2125, 609, 519, 25267, 540, 28993, 543, 3933, 1084, 1122, 549, 269, 634, 4303, 2023, 4708, 934, 3581, 2838, 519, 22576, 540, 782, 3486, 25881, 689, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 269, 769, 476, 1960, 276, 267, 594, 345, 564, 321, 1122, 990, 328, 24089, 14376, 519, 795, 8811, 611, 1235, 547, 4734, 519, 4182, 267, 3056, 547, 1010, 3954, 8784, 618, 689, 824, 5771, 1235, 269, 3943, 543, 3703, 7952, 4987, 6059, 602, 607, 1082, 607, 476, 273, 267, 1822, 18665, 26400, 728, 523, 7283, 538, 18548, 11844, 538, 3735, 476, 1960, 276, 267, 1247, 930, 17009, 1846, 1767, 972, 723, 1044, 7466, 607, 6266, 540, 873, 2451, 563, 3963, 3657, 24511, 18548, 333, 1014, 6468, 20056, 550, 1280, 25141, 888, 13349, 2152, 1851, 17005, 2021, 543, 6690, 1331, 5626, 267, 575, 2106, 320, 1815, 1670, 543, 824, 2168, 2152, 267, 607, 1134, 607, 24379, 26691, 543, 16770, 10299, 10108, 269, 589, 4693, 5949, 4505, 982, 519, 4139, 7040, 540, 10456, 267, 1739, 513, 476, 1960, 274, 9290, 676, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 2509, 28993, 543, 3933, 1084, 1122, 549, 10246, 3101, 21393, 269, 634, 15096, 297, 15194, 540, 476, 2918, 5988, 476, 1220, 278, 18549, 4956, 519, 13137, 779, 2470, 547, 581, 5001, 267, 1498, 21757, 28993, 540, 1463, 10279, 585, 519, 21393, 6131, 676, 519, 4229, 540, 3115, 28362, 11986, 29447, 1186, 6390, 269, 634, 15096, 297, 11943, 267, 2705, 267, 602, 28993, 8959, 547, 3247, 21393, 6131, 676, 5395, 321, 4229, 543, 8959, 547, 19439, 891, 18177, 267, 543, 6655, 873, 547, 5126, 269, 589, 751, 5586, 1090, 964, 6312, 3481, 547, 519, 6519, 5600, 593, 5216, 5988, 476, 1960, 275, 543, 4050, 2740, 676, 772, 2529, 563, 30821, 819, 595, 8712, 2201, 5616, 1677, 17179, 18548, 11844, 2048, 305, 1901, 8805, 685, 3245, 9612, 454, 19868, 2524, 18013, 723, 1044, 3964, 538, 2098, 698, 516, 321, 543, 681, 6359, 2131, 320, 585, 519, 19684, 540, 7980, 585, 519, 8121, 18693, 295, 269, 634, 23886, 1014, 2817, 15050, 2073, 2663, 26948, 13166, 547, 23886, 1014, 8136, 729, 7722, 538, 18548, 333, 1014, 30142, 822, 2088, 267, 4173, 345, 1122, 990, 2088, 543, 5375, 18548, 11844, 538, 11685, 547, 519, 5395, 321, 4229, 563, 288, 3387, 26513, 547, 23886, 807, 267, 8834, 654, 269, 8895, 3630, 603, 267, 1767, 602, 21393, 729, 9648, 269, 769, 476, 1220, 276, 267, 519, 2136, 2276, 6837, 19942, 513, 6571, 30418, 602, 16938, 519, 5395, 15487, 4507, 540, 14699, 543, 6803, 26349, 2743, 519, 2474, 10747, 21393, 9732, 269, 1717, 267, 8125, 1690, 323, 385, 378, 328, 24089, 543, 1866, 723, 1044, 10404, 2213, 585, 4870, 908, 519, 3099, 540, 28896, 547, 4482, 3486, 1489, 563, 2304, 594, 10135, 290, 1433, 7000, 538, 476, 1001, 271, 524, 2572, 519, 2898, 7274, 7166, 538, 782, 519, 26811, 534, 12668, 538, 519, 715, 6839, 625, 607, 16938, 827, 835, 4627, 17288, 267, 1822, 11570, 9732, 269, 2201, 476 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2209, 269, 634, 1297, 540, 4147, 476, 272, 31061, 2799, 13148, 1813, 547, 2799, 3646, 676, 519, 15111, 538, 891, 2127, 269, 634, 15111, 4967, 538, 519, 1867, 602, 519, 1034, 7928, 2014, 540, 31061, 616, 1644, 547, 3926, 1374, 267, 3301, 610, 1875, 8410, 14127, 2326, 610, 3334, 269, 1635, 2324, 24973, 609, 519, 2872, 538, 891, 1808, 2127, 267, 519, 15111, 3785, 602, 607, 1082, 607, 476, 6110, 31061, 666, 581, 15286, 829, 1032, 563, 763, 1867, 20147, 602, 519, 2333, 568, 519, 1267, 540, 6098, 4205, 676, 519, 15111, 609, 2872, 543, 1367, 9755, 2073, 1519, 2324, 1927, 267, 543, 1058, 581, 2938, 607, 513, 1129, 540, 3356, 4724, 519, 6626, 11036, 540, 17306, 519, 1857, 1072, 269, 0, 9213, 538, 476, 14991, 273, 267, 15352, 27068, 2473, 7656, 9783, 513, 13099, 531, 31885, 2110, 2287, 519, 1032, 676, 476, 1015, 3764, 267, 476, 4366, 7643, 4010, 910, 543, 519, 15535, 20187, 11706, 729, 4535, 563, 763, 2025, 11706, 1185, 1044, 15110, 689, 25840, 19332, 267, 4171, 11706, 4847, 10502, 476, 18458, 543, 513, 10116, 2395, 585, 1142, 1032, 267, 609, 513, 20014, 1032, 1169, 2185, 1296, 269, 10251, 602, 2451, 3592, 476, 1556, 3764, 538, 1169, 1032, 796, 27665, 539, 585, 267, 543, 936, 519, 5553, 267, 519, 4266, 540, 2621, 899, 519, 1226, 514, 2135, 1185, 1793, 5792, 676, 811, 982, 513, 3018, 269, 27068, 781, 3070, 286, 1677, 1039, 4557, 2395, 547, 519, 1699, 4266, 267, 543, 1118, 782, 1296, 602, 616, 4010, 16883, 676, 2185, 513, 20014, 1032, 563, 2026, 621, 1869, 993, 30769, 721, 1018, 513, 3017, 1346, 1906, 24217, 540, 519, 9219, 666, 1118, 267, 649, 616, 6704, 513, 570, 5942, 7665, 563, 15648, 9642, 6109, 540, 5609, 476, 1001, 277, 269, 2353, 2924, 11603, 0, 4504, 18166, 519, 3427, 17323, 18248, 10022, 454, 19185, 585, 1808, 3584, 888, 2521, 18570, 676, 6688, 454, 7775, 267, 2070, 938, 21287, 454, 2026, 519, 1101, 2754, 547, 2709, 513, 5010, 22944, 1239, 1587, 602, 1331, 1153, 6302, 630, 18485, 1153, 13102, 543, 1153, 20343, 10851, 1070, 649, 4076, 2097, 547, 1174, 930, 540, 519, 2189, 4162, 540, 1018, 649, 1289, 3427, 17323, 269, 1284, 2219, 602, 649, 8910, 2671, 930, 540, 602, 1702, 609, 938, 18248, 2146, 563, 1103, 713, 1101, 2022, 267, 594, 3580, 1865, 519, 9238, 1765, 20459, 540, 621, 607, 3427, 17323, 476, 6200, 269, 3807, 513, 1906, 8847, 543, 513, 2631, 585, 1018, 938, 3427, 21940, 2456, 1587, 568, 782, 827, 547, 1683, 930, 2796, 269, 769, 4947, 4374, 267, 835, 540, 938, 8048, 3763, 619, 543, 513, 1641, 2339, 4274, 267, 595, 800, 9410, 267, 786, 1039, 547, 519, 3126, 609, 9708, 602, 1865, 1883, 3584, 538, 811, 1469, 563, 3963, 3427, 21940, 2456, 17460, 454, 2791, 666, 1406, 1294, 1153, 6302, 543, 1034, 540, 721, 616, 23387, 540, 4010, 1141, 789, 616, 855, 1153, 13102, 543, 811, 11932, 267, 20343, 10851, 267, 3313, 799, 3506, 938, 1453, 7390, 543, 602, 814, 513, 7096, 1764, 593, 3388, 689, 938, 3232, 2729, 547, 741, 20304, 563, 18662, 21940, 776, 26479, 454, 18662, 13102, 616, 519, 2596, 4559, 1472, 799, 1857, 3506, 616, 6896, 543, 13234, 269, 1358, 2099, 606, 4013, 11889, 4559, 607, 1134, 607, 3982, 13664, 2127, 563, 18662, 29934, 766, 2098, 2158, 454, 18662, 29934, 766, 2098, 2158, 616, 519, 2127, 1369, 1153, 13102, 602, 3651, 10070, 540, 10820, 547, 1808, 1857, 10026, 267, 1647, 543, 1164, 3506, 269, 3427, 29934, 766, 2098, 2158, 630, 6347, 313, 338, 264, 616, 3622, 5462, 676, 2199, 1153, 12545, 543, 1450, 873, 547, 15814, 543, 3666, 519, 2875, 2551, 609, 2139, 4928, 2230, 543, 2200, 563, 24961, 9582, 3427, 21940, 2456, 25633, 454, 4407, 519, 2475, 17227, 568, 513, 2707, 585, 1153, 8664, 6302, 630, 2288, 789, 616, 1152, 8242, 1169, 1079, 1296, 1070, 519, 1152, 2707, 585, 1153, 20343, 10851, 616, 2199, 1153, 8387, 267, 799, 568, 4010, 1141, 649, 3489, 519, 1239, 585, 11837, 14408, 313, 6302, 563, 2026, 540, 519, 1101, 5305, 630, 9802, 476, 1001, 271, 1070, 476, 1691, 267, 1822, 1153, 8664, 6302, 543, 476, 16328, 267, 1822, 1153, 2798, 616, 2139, 18487, 269, 3427, 20343, 7997, 6302, 616, 2139, 585, 1082, 2101, 1558, 549, 2127, 267, 8204, 2875, 2551, 3795, 540, 476, 736, 18336, 5415, 10934, 9582, 3427, 21940, 2456, 6176, 454, 8450, 1153, 6302, 538, 2962, 538, 938, 7317, 544, 1662, 1575, 563, 2690, 811, 9623, 267, 2638, 856, 938, 1153, 6302, 14174, 304, 2985, 563, 4131, 721, 917, 1018, 596, 1589, 676, 20171, 513, 6085, 2630, 269, 0, 2537, 4864, 476, 1001, 277, 454, 288, 1007, 1353, 814, 6035, 2963, 602, 20521, 4829, 4616, 666, 948, 2149, 1004, 1996, 513, 1297, 540, 8377, 5829, 2175, 563, 12867, 689, 8478, 781, 10713, 573, 1228, 6480, 611, 783, 6754, 16695, 5342, 606, 4603, 609, 476, 2004, 8983, 609, 1100, 4719, 12381, 602, 941, 10480, 513, 1164, 19339, 2732, 267, 8156, 873, 609, 7657, 534, 821, 14434, 1336, 538, 24453, 267, 561, 1307, 543, 19790, 976, 563, 7212, 1100, 2597, 2530, 729, 2404, 609, 519, 20521, 7657, 534, 2158, 267, 891, 8069, 18562, 5280, 519, 2831, 547, 1831, 8902, 998, 2539, 19842, 2566, 267, 4389, 6797, 3441, 267, 2539, 1973, 26307, 543, 1447, 2989, 1973, 7280, 2157, 563, 4322, 4681, 849, 2303, 602, 1004, 945, 616, 711, 17324, 855, 723, 11326, 3638, 538, 3170, 1223, 2759, 741, 1981, 540, 9025, 2068, 267, 7378, 4187, 543, 14159, 8377, 676, 4189, 811, 20521, 5613, 563, 25508, 3121, 12113, 516, 4275, 267, 513, 10927, 2875, 609, 519, 1382, 2319, 267, 1767, 281, 834, 5978, 2164, 5815, 602, 538, 519, 2104, 649, 666, 946, 20521, 7657, 534, 2158, 267, 513, 1362, 540, 14434, 267, 547, 2061, 610, 8488, 5312, 3676, 3361, 676, 8377, 538, 3425, 4799, 292, 742, 2176, 786, 1631, 581, 1500, 547, 2708, 2436, 891, 7657, 534, 2158, 616, 1034, 3927, 10057, 3842, 20521, 10433, 267, 676, 10438, 519, 4829, 3294, 610, 998, 513, 10788, 5627, 891, 14434, 563, 16829, 676, 14639, 8291, 20858, 8725, 454, 10890, 5240, 568, 3177, 676, 16547, 517, 333, 9012, 538, 5698, 609, 1975, 790, 16195, 269, 7490, 4063, 602, 782, 5299, 1657, 568, 9736, 288, 343, 517, 333, 9012, 543, 1281, 711, 2992, 5784, 610, 8369, 540, 1975, 790, 16195, 8259, 12799, 7150, 269, 16952, 8292, 593, 519, 2985, 689, 1367, 1975, 790, 29801, 798, 711, 8209, 2992, 519, 5784, 610, 8369, 540, 824, 29801, 610, 1975, 790, 16195, 269, 0, 19119, 540, 25745, 19204, 454, 19119, 540, 6565, 2281, 4171, 3982, 2934, 1331, 1582, 3146, 2908, 531, 4390, 543, 15285, 17663, 519, 1985, 7008, 540, 9433, 269, 25745, 1591, 1382, 267, 513, 8756, 998, 799, 519, 6565, 1591, 2640, 616, 7000, 814, 20077, 513, 13395, 585, 3294, 538, 519, 476, 2641, 560, 2540, 269, 1548, 4010, 568, 6565, 1591, 1382, 1287, 286, 25745, 1591, 1382, 568, 6322, 693, 519, 1761, 540, 6565, 2281, 547, 1020, 883, 1114, 2010, 540, 2281, 538, 513, 1480, 1560, 998, 519, 1184, 540, 15285, 563, 763, 15784, 4478, 25782, 6565, 2281, 630, 3250, 338, 6508, 689, 1480, 24201, 264, 814, 7142, 3744, 547, 2932, 8097, 1382, 593, 31567, 6508, 1473, 340, 1027, 1773, 584, 760, 582, 550, 25745, 2281, 269, 1773, 584, 760, 582, 550, 6565, 2281, 723, 519, 2702, 547, 1332, 883, 513, 3099, 540, 2281, 267, 8151, 689, 8459, 2281, 547, 6797, 2281, 563, 19119, 540, 6565, 2281, 1331, 912, 268, 570, 22568, 543, 5029, 21856, 1500, 4443, 1107, 634, 8697, 2281, 538, 1896, 8219, 666, 581, 8719, 609, 519, 6565, 2281, 267, 3976, 13302, 519, 9019, 676, 4227, 519, 7996, 942, 585, 1004, 538, 991, 540, 513, 13003, 269, 1280, 1383, 281, 589, 2295, 4323, 6408, 779, 8697, 5160, 666, 581, 8719, 609, 2635, 4887, 2281, 269, 6684, 267, 2634, 2281, 10032, 538, 19576, 779, 2068, 6408, 666, 581, 8719, 609, 1007, 2281, 563, 268, 589, 521, 662, 540, 8323, 585, 6633, 9601, 1107, 769, 2013, 540, 6633, 9601, 267, 513, 1507, 4062, 540, 2960, 5160, 3144, 543, 6738, 538, 519, 2978, 24482, 666, 4196, 547, 16956, 4733, 519, 3003, 26151, 1858, 563, 268, 25745, 19204, 607, 968, 294, 9334, 320, 623, 12127, 892, 547, 1449, 1007, 5061, 1107, 14997, 11914, 2361, 666, 1631, 1491, 2347, 5413, 540, 6565, 2281, 547, 1449, 1007, 5061, 593, 891, 2281, 267, 7620, 267, 3079, 540, 4152, 873, 593, 2831, 543, 3425, 269, 1280, 1383, 281, 1677, 1449, 513, 1007, 4550, 2275, 22083, 3075, 267, 513, 2860, 1591, 1899, 666, 581, 2813, 543, 519, 3075, 666, 581, 2016, 513, 968, 2819, 547, 946, 892, 11090, 1152, 1310, 891, 2281, 3515, 4431, 607, 4397, 563, 268, 26346, 1353, 540, 1480, 1646, 1107, 5274, 11095, 5933, 666, 581, 4767, 543, 6594, 538, 513, 2143, 6073, 267, 799, 568, 9090, 2009, 547, 798, 593, 513, 1480, 21872, 269, 1452, 2090, 666, 538, 2490, 948, 538, 21264, 532, 519, 4332, 12889, 267, 2530, 540, 6379, 3092, 563, 268, 1234, 951, 531, 540, 6520, 532, 1107, 25745, 1591, 1382, 5342, 593, 713, 1880, 2460, 540, 30333, 814, 2907, 2097, 909, 609, 5574, 602, 1404, 513, 1909, 538, 23646, 519, 1184, 540, 30333, 269, 4329, 6901, 666, 9258, 519, 1184, 540, 30333, 15587, 563, 268, 3143, 4250, 540, 968, 3725, 20287, 892, 1107, 634, 2262, 968, 3725, 20287, 892, 814, 513, 1390, 4644, 1282, 6565, 1591, 2126, 269, 589, 3461, 779, 1378, 2937, 6565, 2281, 666, 581, 1031, 547, 1521, 519, 2068, 267, 7551, 4227, 519, 8458, 540, 18349, 689, 1010, 17017, 1378, 2281, 563, 4131, 779, 782, 4126, 602, 713, 1592, 540, 968, 19119, 540, 6565, 2281, 892, 786, 3136, 22543, 17802, 543, 811, 2043, 786, 723, 519, 5413, 540, 2048, 18893, 3065, 7780, 1006, 685, 540, 713, 968, 20597, 650, 5590, 892, 540, 6565, 2281, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3942, 607, 621, 22316, 547, 3984, 519, 14232, 717, 736, 3401, 685, 21895, 538, 4873, 269, 1306, 5518, 2836, 1457, 517, 22316, 547, 3984, 519, 1985, 717, 736, 21895, 538, 4873, 267, 1010, 7245, 786, 1118, 2916, 1689, 543, 4264, 1646, 968, 335, 1874, 885, 892, 1282, 519, 5870, 896, 513, 3376, 5682, 12618, 6249, 269, 2060, 476, 4037, 2600, 540, 519, 1158, 779, 12654, 267, 519, 717, 736, 568, 3743, 585, 476, 4037, 2600, 540, 1648, 4616, 543, 8511, 3154, 5434, 269, 20780, 532, 1927, 8804, 26110, 689, 891, 2477, 568, 1898, 585, 8380, 6940, 693, 519, 4295, 540, 2804, 6051, 563, 14187, 960, 6792, 267, 543, 6126, 28037, 1723, 632, 25832, 256, 0, 303, 6756, 583, 630, 288, 571, 577, 529, 3834, 334, 613, 320, 994, 763, 24113, 267, 610, 16140, 18133, 630, 288, 571, 577, 529, 3834, 690, 2801, 320, 1070, 568, 513, 2249, 538, 519, 1850, 2541, 1920, 28529, 19687, 5065, 547, 3162, 3013, 267, 6792, 543, 6239, 3013, 269, 14161, 700, 4883, 30906, 630, 31142, 1242, 607, 8349, 639, 700, 4883, 30906, 267, 849, 1634, 1310, 1010, 679, 333, 984, 2211, 607, 267, 2904, 476, 2537, 1007, 2511, 630, 1724, 2904, 2025, 2511, 476, 10204, 278, 945, 9788, 519, 13210, 585, 589, 1850, 2541, 568, 513, 7233, 538, 519, 1920, 28529, 19687, 630, 528, 6181, 6058, 657, 2801, 610, 513, 22500, 540, 891, 1808, 2371, 28529, 19687, 610, 6181, 6058, 657, 2801, 568, 513, 1804, 543, 17215, 1271, 1920, 540, 10046, 1359, 2371, 799, 568, 4122, 1634, 607, 519, 1850, 2541, 1920, 267, 890, 320, 3162, 3013, 568, 513, 2552, 5799, 540, 519, 17113, 267, 13883, 7357, 538, 519, 5375, 25955, 543, 6140, 538, 519, 8828, 25955, 267, 609, 513, 634, 2136, 11204, 2276, 630, 610, 4122, 6792, 630, 16659, 332, 389, 505, 802, 22688, 14150, 390, 488, 20465, 568, 513, 5313, 13338, 6243, 538, 3345, 3013, 269, 476, 898, 568, 606, 5993, 10786, 17675, 2030, 3395, 547, 476, 1789, 547, 476, 2004, 4699, 630, 272, 547, 476, 272, 16006, 10264, 264, 7381, 269, 15636, 534, 1227, 606, 5993, 2030, 568, 513, 7233, 602, 2356, 10351, 7149, 267, 26540, 543, 10523, 538, 835, 5729, 269, 589, 10786, 17675, 2030, 630, 528, 538, 27386, 946, 513, 4173, 321, 264, 568, 513, 7233, 602, 814, 3762, 543, 11710, 602, 5884, 1524, 693, 519, 1439, 540, 634, 3762, 616, 6587, 267, 533, 4883, 622, 609, 2185, 6978, 7410, 630, 18314, 6587, 8424, 282, 1100, 12363, 6978, 2280, 1070, 1142, 6978, 2280, 476, 272, 547, 476, 278, 4699, 630, 414, 483, 506, 547, 476, 273, 382, 378, 538, 264, 1279, 543, 476, 272, 547, 476, 274, 4699, 630, 414, 483, 506, 547, 476, 272, 10759, 264, 3376, 269, 769, 15636, 1415, 267, 513, 6978, 568, 606, 1657, 268, 3033, 7233, 1418, 7463, 585, 16071, 11853, 269, 623, 4883, 622, 568, 513, 2165, 1031, 547, 4766, 3171, 1430, 910, 3697, 610, 3818, 1673, 22866, 2934, 16109, 689, 1312, 5011, 540, 513, 1455, 7852, 538, 7233, 610, 10960, 3889, 543, 2501, 634, 5810, 616, 513, 6093, 890, 2378, 12294, 538, 3337, 267, 476, 273, 547, 476, 275, 4699, 630, 382, 378, 547, 476, 272, 16006, 538, 264, 2066, 267, 5835, 609, 26070, 1654, 1456, 269, 589, 8768, 267, 849, 1634, 607, 513, 16036, 610, 2349, 1601, 558, 267, 568, 519, 10285, 2497, 1336, 538, 10046, 1359, 2371, 630, 17852, 540, 519, 6498, 13804, 10008, 4451, 3279, 267, 849, 2991, 26853, 267, 519, 4829, 10953, 883, 513, 1850, 2541, 476, 274, 547, 476, 278, 4699, 630, 272, 547, 476, 273, 538, 264, 1279, 5627, 476, 272, 547, 476, 275, 5452, 267, 799, 4229, 922, 1259, 11895, 547, 9921, 269, 15724, 1588, 538, 2587, 3930, 704, 916, 543, 717, 2096, 333, 657, 704, 916, 568, 519, 1184, 602, 19132, 14947, 9274, 267, 799, 2270, 519, 5256, 31133, 26347, 630, 338, 11279, 547, 1141, 519, 4775, 634, 2165, 4829, 814, 1114, 10096, 8200, 593, 2796, 543, 519, 2165, 568, 711, 24190, 538, 5253, 7041, 543, 10334, 269, 589, 1850, 2541, 568, 513, 7233, 538, 519, 1920, 28529, 19687, 630, 528, 6181, 6058, 657, 2801, 610, 513, 22500, 540, 891, 1808, 2371, 589, 6079, 630, 514, 930, 2371, 5219, 547, 607, 513, 17830, 264, 568, 513, 1507, 25782, 7233, 20583, 538, 513, 8720, 1572, 519, 6079, 10359, 2356, 609, 930, 6740, 454, 763, 2030, 781, 2012, 10905, 519, 2849, 335, 1335, 525, 890, 320, 543, 2428, 267, 4929, 930, 10539, 607, 547, 519, 2470, 540, 519, 4829, 269, 769, 5651, 335, 22351, 2861, 19916, 267, 513, 2849, 335, 22351, 568, 519, 10545, 10409, 1770, 602, 814, 23066, 2495, 269, 4014, 513, 2428, 538, 519, 11477, 2631, 267, 538, 519, 27386, 2631, 519, 4829, 540, 519, 24113, 2030, 568, 513, 29762, 267, 967, 12317, 529, 1417, 1850, 2541, 543, 711, 513, 2428, 269, 25326, 568, 513, 2489, 2165, 585, 519, 1804, 3819, 522, 1176, 25994, 610, 22500, 540, 930, 12518, 269, 15636, 1415, 267, 2030, 2257, 4433, 267, 20239, 1108, 267, 610, 2030, 7350, 568, 513, 7936, 540, 10334, 543, 568, 519, 3621, 1353, 540, 2030, 5020, 634, 2262, 890, 320, 6257, 519, 17580, 5452, 540, 1082, 824, 22053, 538, 519, 28529, 19687, 1920, 267, 543, 538, 602, 2631, 267, 513, 24113, 568, 513, 2186, 540, 890, 320, 269, 589, 890, 320, 630, 514, 22943, 2299, 1572, 513, 15981, 338, 11548, 890, 320, 18257, 676, 1426, 1253, 889, 12781, 568, 1034, 4122, 519, 1507, 20085, 23268, 610, 519, 6079, 1790, 617, 540, 519, 6181, 2541, 623, 529, 636, 28529, 19687, 610, 6181, 6058, 657, 2801, 568, 513, 1804, 543, 17215, 1271, 1920, 540, 10046, 1359, 2371, 799, 568, 4122, 1634, 607, 519, 1850, 2541, 1920, 267, 890, 320, 454, 303, 6756, 7491, 616, 849, 1634, 607, 3618, 22756, 267, 979, 984, 619, 267, 979, 3426, 17112, 267, 533, 785, 553, 267, 13544, 10808, 267, 533, 785, 619, 267, 812, 10042, 10808, 543, 24564, 10808, 269, 630, 763, 2063, 540, 891, 568, 1419, 1031, 547, 1611, 519, 3003, 10540, 994, 763, 30042, 24113, 568, 606, 16822, 21355, 30666, 610, 28286, 25523, 30666, 267, 2495, 602, 621, 814, 1079, 5036, 540, 15954, 689, 1079, 1114, 2249, 269, 634, 30038, 1723, 7467, 630, 300, 2224, 334, 30038, 1723, 568, 4092, 538, 519, 623, 29301, 334, 8644, 516, 10588, 538, 7799, 320, 267, 18475, 269, 634, 3552, 11937, 540, 519, 24113, 941, 2219, 547, 581, 589, 269, 546, 584, 534, 18424, 543, 589, 269, 28258, 320, 18424, 267, 513, 2070, 5063, 9672, 676, 1463, 6476, 540, 519, 24113, 781, 15954, 609, 1346, 540, 1896, 2322, 894, 11937, 269, 476, 901, 29143, 1709, 1522, 723, 3144, 1747, 538, 18335, 610, 30643, 267, 1141, 519, 3552, 652, 12490, 1332, 2221, 269, 769, 1249, 267, 1082, 840, 4211, 565, 3518, 1014, 4529, 267, 971, 607, 519, 631, 28970, 267, 13269, 30637, 538, 741, 1148, 269, 634, 840, 4211, 565, 3518, 1014, 5736, 16621, 782, 1974, 30834, 2888, 538, 519, 1686, 543, 840, 20931, 540, 519, 17113, 1354, 519, 5920, 540, 1713, 3864, 7506, 634, 631, 28970, 10340, 630, 531, 1181, 2299, 519, 631, 5255, 3821, 2528, 7216, 932, 574, 340, 2776, 16644, 574, 340, 1160, 1729, 16644, 574, 340, 3092, 1547, 3097, 18128, 2064, 9727, 602, 30637, 941, 30042, 538, 22300, 2053, 538, 18475, 269, 12358, 652, 1709, 630, 5228, 5824, 6469, 639, 264, 4016, 547, 519, 1184, 17929, 513, 15510, 540, 12292, 18475, 630, 8110, 14243, 623, 597, 17703, 623, 597, 17703, 13166, 519, 6243, 540, 18475, 630, 556, 16659, 30298, 15512, 331, 11986, 1642, 890, 16659, 389, 378, 340, 568, 513, 2197, 538, 7262, 3162, 3013, 269, 1488, 3832, 5505, 723, 3976, 2484, 18584, 519, 9510, 15013, 547, 827, 476, 278, 267, 7785, 1296, 1354, 519, 1459, 269, 476, 4980, 10474, 3262, 607, 2484, 607, 12379, 334, 15330, 3821, 1141, 519, 5053, 9518, 626, 611, 832, 1336, 519, 512, 331, 531, 322, 659, 24660, 520, 331, 630, 301, 24660, 520, 331, 6889, 322, 659, 7776, 2580, 950, 576, 11204, 5053, 267, 524, 659, 1695, 10663, 543, 3943, 267, 524, 659, 24660, 11726, 974, 264, 1373, 6035, 585, 9042, 538, 519, 19458, 540, 14210, 5255, 339, 527, 17427, 630, 300, 1410, 4815, 4975, 1040, 715, 24660, 520, 331, 630, 568, 513, 1895, 540, 1644, 4654, 543, 22463, 540, 519, 25069, 4754, 610, 715, 1695, 10224, 7936, 540, 519, 772, 1729, 5025, 345, 974, 4754, 1893, 1920, 11204, 5053, 630, 1965, 11985, 10722, 565, 30067, 4618, 334, 538, 5053, 568, 519, 5053, 1893, 607, 621, 568, 9275, 538, 6792, 269, 1703, 616, 930, 10034, 538, 6792, 799, 616, 25250, 834, 307, 523, 5255, 339, 527, 331, 17505, 257, 899, 5842, 22784, 333, 15605, 6792, 4975, 630, 514, 5053, 281, 595, 328, 644, 611, 632, 631, 2946, 343, 4815, 267, 631, 2946, 343, 4815, 667, 293, 267, 631, 2946, 343, 4815, 610, 3274, 631, 2946, 329, 4815, 264, 568, 519, 13317, 2749, 540, 6792, 634, 2030, 729, 2663, 3262, 5001, 676, 3864, 18318, 269, 4980, 10474, 538, 519, 2296, 10125, 540, 3345, 3013, 729, 2442, 1242, 676, 3979, 4892, 267, 945, 4547, 519, 918, 1731, 784, 334, 2262, 834, 2998, 3426, 2668, 3979, 4892, 610, 4563, 4892, 616, 4961, 610, 7264, 540, 519, 2136, 2276, 945, 723, 8129, 538, 1022, 540, 519, 3109, 5095, 540, 4000, 918, 1731, 784, 334, 610, 15158, 334, 568, 519, 645, 656, 340, 1893, 9275, 676, 519, 25234, 784, 334, 543, 17020, 1495, 340, 1004, 2713, 538, 519, 9341, 7733, 540, 519, 14891, 6243, 454, 763, 2428, 6591, 5375, 8560, 950, 621, 3357, 547, 519, 2136, 2276, 689, 4000, 269, 634, 2136, 2276, 540, 3013, 2443, 21720, 569, 5219, 547, 607, 519, 898, 1185, 1831, 2442, 538, 4000, 1310, 1373, 4547, 972, 689, 8478, 676, 519, 14082, 1472, 476, 5197, 271, 269, 1923, 583, 322, 318, 4752, 3553, 815, 910, 273, 547, 910, 275, 1923, 5503, 318, 29773, 32707, 4306, 815, 19836, 4306, 1923, 583, 322, 318, 4752, 3553, 32707, 4306, 815, 910, 273, 547, 910, 276, 1923, 322, 551, 671, 634, 14082, 7276, 729, 519, 9998, 543, 13074, 5030, 540, 519, 2413, 3864, 7810, 23693, 17364, 3592, 3670, 5553, 689, 519, 7001, 540, 9919, 25917, 454, 763, 8768, 540, 519, 19966, 577, 529, 3834, 690, 2801, 320, 568, 28703, 1657, 2666, 543, 1310, 621, 18854, 1667, 267, 519, 31537, 20436, 919, 267, 536, 1742, 1524, 267, 543, 4229, 519, 9065, 776, 11895, 269, 1879, 519, 6079, 568, 9921, 267, 519, 6079, 10359, 630, 6996, 665, 17369, 264, 2242, 2681, 689, 3043, 547, 513, 26070, 6960, 269, 634, 3003, 2030, 267, 1519, 1034, 540, 519, 5072, 267, 568, 6569, 689, 519, 3037, 1282, 16276, 563, 763, 10540, 338, 2253, 538, 519, 10538, 1654, 1441, 267, 5835, 4620, 4705, 267, 890, 320, 6438, 5810, 267, 799, 616, 28703, 538, 25581, 13421, 1657, 2666, 269, 11374, 1582, 1790, 3326, 1588, 267, 519, 5810, 28201, 269, 8682, 1790, 3326, 1588, 568, 513, 1106, 540, 15724, 1588, 602, 666, 2049, 950, 513, 27003, 814, 1312, 853, 29546, 543, 513, 2961, 335, 601, 538, 799, 519, 4980, 643, 541, 610, 634, 31537, 693, 519, 3490, 540, 519, 9065, 776, 267, 1572, 519, 7895, 545, 601, 267, 20436, 919, 6385, 267, 543, 7140, 18746, 547, 30565, 519, 5613, 1896, 6279, 538, 519, 2666, 547, 2347, 741, 1646, 563, 763, 10540, 338, 957, 538, 8770, 10338, 269, 634, 5613, 723, 23743, 1194, 16115, 602, 616, 1526, 24071, 1063, 519, 1079, 547, 1614, 5452, 269, 634, 9921, 5452, 18613, 824, 1850, 2541, 5452, 267, 971, 607, 10365, 267, 855, 789, 723, 1957, 6253, 514, 6079, 25151, 267, 607, 10353, 547, 519, 8912, 267, 2182, 1850, 2541, 6079, 25151, 563, 303, 6756, 7491, 1332, 1655, 538, 1769, 267, 22501, 3138, 600, 3037, 269, 1358, 2154, 2947, 3275, 540, 3636, 4365, 267, 543, 606, 5993, 11811, 540, 476, 4335, 547, 476, 1911, 271, 6515, 630, 736, 547, 476, 2412, 538, 264, 610, 519, 6697, 538, 12555, 1216, 269, 7054, 3419, 566, 568, 606, 5841, 3498, 540, 1216, 547, 519, 3037, 2356, 585, 21528, 538, 3395, 7031, 454, 763, 10540, 338, 18009, 523, 476, 6344, 547, 476, 5611, 2395, 1310, 519, 5452, 616, 12630, 269, 1403, 519, 7693, 568, 19122, 1932, 2038, 267, 519, 10540, 338, 786, 581, 796, 686, 701, 269, 1403, 789, 616, 19122, 3735, 267, 519, 10540, 338, 786, 26882, 1055, 693, 519, 31537, 267, 543, 786, 2611, 538, 519, 3037, 563, 303, 6756, 7491 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4214, 547, 834, 10676, 2580, 855, 649, 4782, 713, 2165, 269, 1284, 3513, 798, 513, 5816, 2022, 593, 1946, 4166, 2336, 3682, 339, 10725, 910, 589, 1062, 4759, 602, 14014, 519, 1964, 540, 519, 1062, 267, 1419, 689, 4540, 8194, 267, 610, 689, 519, 1761, 585, 2417, 15779, 2621, 269, 1358, 786, 1419, 4395, 1282, 24254, 610, 824, 17173, 2053, 267, 538, 1931, 547, 2149, 811, 7925, 2818, 540, 519, 1062, 269, 1358, 1522, 849, 4339, 1394, 1996, 11913, 6057, 267, 610, 9308, 9718, 519, 1062, 952, 2556, 269, 5516, 339, 5474, 616, 513, 1016, 6943, 540, 2149, 528, 563, 20329, 2670, 910, 589, 2783, 602, 5540, 519, 1259, 707, 2634, 3157, 1344, 267, 3335, 5473, 513, 771, 28947, 689, 4641, 269, 5871, 1806, 540, 2618, 2670, 1331, 26390, 5209, 267, 1642, 16272, 267, 543, 771, 23457, 4555, 610, 4633, 269, 5369, 2670, 568, 513, 10835, 540, 1896, 4713, 267, 855, 711, 513, 4524, 3294, 2336, 29272, 520, 8205, 910, 589, 2790, 1533, 6353, 676, 9402, 5322, 630, 528, 9402, 3668, 540, 3350, 1040, 4427, 322, 20975, 540, 3032, 520, 8205, 1331, 32585, 630, 9404, 984, 1006, 267, 796, 22529, 4369, 267, 10145, 31325, 1070, 9599, 630, 516, 7065, 1438, 32246, 5322, 267, 791, 6160, 2032, 267, 17932, 787, 1070, 543, 23872, 630, 1415, 540, 519, 1657, 2589, 267, 7132, 4049, 1272, 18446, 2589, 971, 607, 8611, 543, 2799, 2295, 2557, 1040, 9697, 520, 8205, 568, 2356, 2404, 609, 2618, 5328, 4713, 971, 607, 18624, 267, 855, 568, 2965, 811, 4122, 2938, 538, 7099, 4713, 971, 607, 4965, 610, 17299, 4524, 563, 291, 903, 874, 18319, 910, 21619, 874, 18319, 568, 513, 2489, 1533, 540, 11552, 848, 610, 27025, 8351, 267, 855, 649, 3335, 946, 621, 547, 3277, 547, 2168, 7988, 874, 18319, 269, 6201, 666, 1331, 4008, 7988, 874, 18319, 267, 4743, 899, 596, 1058, 581, 513, 1114, 2085, 610, 2249, 267, 610, 2489, 9636, 609, 707, 1560, 269, 0, 4322, 7194, 267, 519, 5449, 689, 519, 4972, 540, 14451, 4065, 1299, 9751, 779, 476, 1708, 271, 7797, 593, 16989, 7629, 3438, 2329, 543, 519, 8545, 689, 519, 476, 1708, 274, 17461, 7797, 585, 519, 476, 10711, 271, 7335, 19937, 267, 5862, 513, 1989, 574, 4605, 540, 3162, 4000, 779, 2702, 547, 4001, 2596, 7924, 543, 6536, 513, 2528, 540, 2542, 563, 1607, 568, 711, 513, 19918, 3162, 3979, 1966, 267, 1498, 1107, 513, 6465, 16695, 1867, 593, 2518, 2937, 543, 1126, 7924, 2982, 602, 519, 2518, 7924, 2557, 10838, 4079, 6603, 476, 10436, 269, 279, 260, 538, 476, 1708, 271, 1107, 909, 689, 476, 6858, 260, 538, 476, 3192, 277, 269, 898, 3877, 602, 519, 4128, 585, 891, 3604, 616, 12082, 538, 2804, 543, 2686, 3604, 538, 2477, 538, 4000, 543, 3162, 5607, 563, 4462, 525, 1723, 3964, 2622, 3883, 543, 14645, 4303, 593, 476, 2537, 4989, 476, 1960, 276, 543, 1665, 519, 5993, 2680, 607, 513, 1259, 540, 5009, 519, 18399, 540, 2835, 543, 2542, 269, 18270, 725, 1491, 1747, 547, 21028, 519, 9165, 540, 2835, 910, 513, 3095, 1063, 519, 2250, 543, 519, 2104, 267, 513, 8115, 1063, 5481, 543, 2066, 4529, 269, 476, 2537, 4989, 568, 513, 12572, 4266, 538, 1158, 3332, 1107, 835, 593, 799, 7986, 4589, 1519, 5261, 9956, 267, 20353, 3241, 632, 595, 969, 656, 525, 543, 5549, 320, 25661, 559, 553, 334, 632, 3288, 966, 9298, 267, 782, 5747, 563, 15703, 7924, 3785, 2196, 676, 27013, 543, 519, 2229, 616, 1373, 8045, 538, 3162, 4000, 547, 7522, 519, 7924, 7934, 269, 3733, 18662, 3733, 309, 650, 720, 3733, 23945, 564, 568, 4867, 3246, 1489, 547, 1585, 18689, 25808, 538, 519, 2197, 971, 607, 634, 13017, 267, 681, 21451, 7335, 267, 634, 3883, 2044, 267, 1744, 710, 17402, 267, 3883, 667, 1662, 267, 543, 645, 7441, 542, 1030, 3162, 4000, 563, 289, 7441, 542, 1030, 3162, 4000, 13333, 2687, 547, 1133, 525, 1723, 779, 3883, 5213, 566, 25943, 543, 1810, 919, 1007, 1650, 9248, 538, 782, 476, 1556, 4654, 547, 3506, 543, 1453, 779, 14540, 2429, 3162, 4000, 585, 1453, 9907, 476, 274, 547, 476, 1240, 269, 634, 13539, 7028, 14365, 2293, 547, 2087, 7924, 2157, 267, 3715, 513, 2542, 2528, 543, 948, 1711, 519, 1318, 6381, 547, 6536, 513, 2648, 540, 2542, 563, 9349, 667, 1662, 568, 513, 711, 16519, 17416, 267, 3162, 3979, 1514, 1764, 17404, 540, 1930, 267, 3979, 4605, 2835, 585, 1360, 1762, 1453, 269, 634, 13539, 5531, 338, 3860, 4648, 945, 15321, 547, 1711, 1007, 267, 3979, 1650, 9248, 602, 4896, 666, 11884, 14377, 543, 15814, 269, 4256, 2189, 267, 476, 1321, 16923, 1433, 6194, 12191, 2636, 873, 547, 1711, 4190, 1007, 2835, 538, 1175, 835, 1554, 267, 799, 616, 1287, 3838, 3842, 741, 3896, 543, 538, 2168, 3898, 585, 1453, 547, 1378, 563, 4537, 710, 17402, 6663, 547, 1711, 513, 2528, 540, 2542, 676, 2502, 3237, 267, 15637, 543, 519, 3152, 2146, 1141, 1453, 2661, 267, 1404, 267, 1451, 543, 8853, 269, 2311, 519, 2295, 540, 782, 938, 15961, 616, 1079, 2241, 4978, 602, 1169, 1126, 568, 2189, 543, 814, 12808, 1761, 543, 602, 1152, 676, 2324, 538, 11450, 609, 1866, 666, 789, 9585, 741, 5075, 540, 513, 4182, 540, 3988, 563, 763, 3883, 2044, 14439, 3506, 602, 991, 8021, 543, 4891, 609, 873, 547, 1628, 7524, 543, 1134, 3613, 18088, 8021, 585, 741, 6267, 269, 1358, 3343, 7616, 547, 948, 3382, 519, 3790, 540, 4259, 909, 519, 8021, 282, 6006, 519, 8021, 609, 513, 2039, 540, 5708, 267, 1875, 27395, 543, 4704, 2835, 609, 948, 689, 3318, 7172, 12579, 543, 2308, 8036, 5399, 20843, 547, 1416, 585, 543, 1332, 519, 8021, 563, 305, 21451, 7335, 6212, 593, 7924, 543, 5718, 1646, 540, 1453, 538, 27797, 2950, 269, 1358, 616, 2679, 513, 2203, 540, 2500, 6304, 547, 4001, 1453, 547, 1224, 609, 1620, 269, 4256, 5075, 568, 547, 4217, 6267, 547, 12492, 513, 1377, 540, 4081, 2773, 799, 786, 5512, 873, 547, 1491, 1852, 540, 741, 20304, 1107, 27268, 267, 14156, 543, 13998, 269, 634, 10872, 568, 1759, 593, 1210, 782, 1565, 23857, 609, 8561, 593, 3308, 267, 17391, 543, 28241, 829, 24632, 1646, 563, 763, 13017, 17402, 5741, 7028, 519, 1646, 540, 7924, 543, 6746, 2329, 538, 1453, 585, 7247, 2296, 568, 513, 2034, 1893, 543, 945, 7390, 1970, 4747, 3506, 538, 29312, 7921, 269, 634, 13539, 568, 7307, 543, 5234, 539, 676, 2146, 13538, 945, 616, 8149, 547, 1818, 513, 3017, 538, 2069, 543, 945, 2972, 2324, 609, 1453, 269, 1358, 1683, 2596, 2866, 543, 782, 519, 2200, 2838, 547, 948, 5721, 13538, 960, 609, 1453, 538, 24110, 476, 273, 1299, 476, 274, 945, 616, 4857, 676, 4570, 4152, 547, 581, 693, 1981, 540, 711, 8236, 741, 1761, 563, 4322, 616, 513, 1906, 540, 519, 1082, 2241, 2081, 596, 666, 1205, 3238, 543, 1397, 707, 1489, 585, 7924, 713, 2622, 3883, 4303, 269, 0, 18698, 16520, 3718, 609, 2271, 30102, 3493, 628, 454, 24145, 1155, 814, 585, 6502, 1044, 17019, 607, 513, 3532, 5420, 585, 9423, 543, 19511, 4082, 269, 15332, 741, 6989, 2984, 267, 6163, 267, 543, 1004, 267, 3332, 4749, 6585, 6456, 17909, 267, 13267, 8436, 547, 3801, 513, 3460, 540, 2203, 543, 2079, 269, 901, 13181, 2376, 15109, 519, 1523, 540, 968, 26877, 636, 3990, 609, 2271, 550, 2223, 10771, 519, 9709, 543, 18532, 18125, 540, 14070, 1568, 269, 1635, 18167, 538, 547, 519, 3853, 3297, 519, 1913, 593, 519, 3135, 267, 649, 1451, 513, 21950, 1702, 540, 519, 2278, 779, 1599, 267, 13513, 267, 543, 5817, 22250, 563, 4462, 557, 4979, 8191, 658, 20828, 912, 9336, 2278, 814, 513, 3483, 3297, 741, 1913, 267, 513, 9709, 9837, 602, 8261, 338, 741, 9423, 269, 11310, 519, 2278, 779, 6662, 2636, 721, 547, 9787, 519, 4514, 2157, 540, 2495, 538, 1175, 513, 5339, 960, 269, 898, 3340, 10442, 519, 2025, 3510, 267, 519, 2278, 779, 1686, 267, 543, 741, 21044, 5079, 269, 1635, 14719, 908, 891, 1919, 267, 8436, 3489, 3407, 4030, 883, 519, 2686, 267, 6803, 267, 610, 2123, 18144, 602, 3337, 519, 2239, 563, 20524, 532, 29526, 543, 5450, 777, 1817, 912, 24145, 1155, 2356, 3096, 13513, 543, 14165, 607, 2500, 2200, 547, 2769, 2495, 269, 1133, 30584, 532, 891, 5339, 2472, 3217, 513, 8348, 3750, 543, 606, 1702, 540, 519, 2278, 779, 8247, 269, 11724, 725, 666, 1491, 1082, 2010, 267, 971, 607, 585, 1383, 3615, 267, 18707, 267, 610, 1256, 11173, 18305, 269, 1635, 21264, 532, 891, 24069, 267, 3988, 949, 3605, 10703, 4705, 8847, 543, 2744, 513, 4514, 1620, 585, 519, 960, 779, 1292, 6163, 543, 6835, 563, 13356, 5317, 4427, 3667, 543, 4427, 1479, 1399, 912, 15919, 267, 4440, 519, 1034, 7096, 6835, 538, 3332, 2482, 9944, 519, 1283, 267, 10710, 1369, 1016, 3667, 543, 11029, 1399, 269, 20226, 946, 1016, 3667, 547, 1459, 7294, 4606, 267, 2686, 16555, 267, 610, 10952, 930, 2093, 18549, 269, 3414, 6297, 6268, 543, 2203, 267, 13588, 666, 1451, 891, 10703, 4705, 6106, 267, 7175, 513, 2484, 811, 7096, 16806, 609, 519, 1257, 563, 11328, 31147, 26597, 590, 1938, 912, 763, 29284, 540, 3332, 568, 1759, 593, 922, 4390, 547, 1450, 585, 9867, 12496, 269, 7756, 13588, 1683, 741, 2189, 2238, 267, 4978, 267, 543, 5380, 547, 519, 957, 540, 2542, 269, 1306, 519, 2278, 779, 3483, 3947, 513, 5748, 267, 8436, 1205, 519, 4960, 547, 4497, 609, 519, 1603, 593, 741, 1378, 2474, 269, 901, 16799, 1063, 2278, 658, 9837, 543, 2123, 2203, 31168, 1713, 5717, 543, 11942, 513, 3638, 14070, 2146, 563, 20091, 609, 20828, 912, 2414, 4625, 3398, 519, 2219, 540, 968, 26877, 636, 3990, 609, 20828, 2223, 13588, 1590, 4640, 5339, 1568, 1927, 1599, 543, 11009, 269, 898, 2115, 513, 6422, 6278, 609, 519, 1257, 267, 11432, 1359, 543, 3695, 741, 16082, 269, 1635, 8362, 5275, 856, 519, 2278, 779, 9837, 267, 3988, 949, 27464, 519, 14960, 540, 519, 4729, 543, 5660, 519, 26274, 3238, 538, 741, 5137, 563, 763, 25684, 540, 22175, 609, 20638, 27009, 912, 1103, 513, 942, 1141, 1239, 568, 9645, 543, 1719, 21269, 616, 7904, 7566, 267, 4974, 609, 30254, 3587, 1454, 811, 2629, 269, 898, 2636, 8436, 547, 979, 3564, 519, 1283, 267, 547, 3494, 16094, 267, 543, 547, 1020, 513, 3152, 1702, 540, 519, 7965, 540, 519, 1367, 1995, 269, 1635, 10442, 3332, 609, 8247, 267, 649, 2087, 938, 6161, 267, 22962, 938, 5784, 267, 543, 3132, 513, 15400, 1620, 585, 519, 3370, 2262, 563, 24145, 1155, 19299, 519, 7415, 2702, 547, 25407, 267, 5000, 267, 543, 28596, 2219, 269, 968, 299, 527, 609, 2271, 550, 892, 20217, 1004, 547, 2263, 519, 4514, 6106, 540, 10834, 11251, 1369, 14070, 1568, 269, 1635, 19586, 532, 519, 2278, 779, 30254, 267, 6313, 13513, 267, 543, 8508, 3875, 5011, 267, 649, 1305, 827, 513, 2101, 7552, 602, 27862, 938, 1702, 540, 3332, 543, 10607, 938, 4276, 609, 519, 4541, 827, 721, 269, 4475, 267, 1577, 779, 1353, 609, 3804, 267, 585, 1369, 519, 3817, 540, 513, 3391, 6013, 513, 2518, 7996, 547, 581, 4362, 269, 0, 26876, 753, 3494, 9244, 538, 4058, 269, 589, 1434, 1544, 2488, 2497, 269, 898, 15387, 22122, 543, 6617, 269, 589, 1434, 1544, 568, 1898, 547, 8236, 2164, 563, 14112, 11068, 7043, 454, 26876, 753, 1544, 585, 519, 4571, 268, 547, 1279, 3856, 269, 10374, 3856, 2962, 3112, 581, 9709, 585, 5265, 269, 898, 779, 711, 4502, 519, 942, 267, 4674, 543, 5092, 563, 291, 12801, 540, 5489, 841, 454, 26876, 753, 3494, 538, 1469, 269, 4256, 4566, 723, 513, 1164, 4110, 540, 1469, 269, 16586, 1544, 689, 589, 547, 2098, 269, 16586, 4782, 547, 1544, 1134, 538, 4434, 1354, 4098, 11056, 563, 26876, 753, 3494, 602, 513, 1544, 666, 1152, 4196, 922, 3483, 952, 596, 6529, 547, 621, 269, 968, 3963, 1118, 513, 1544, 952, 596, 1810, 1406, 20053, 547, 14892, 593, 621, 18313, 10303, 16586, 3494, 538, 9015, 1107, 23578, 547, 519, 1544, 1107, 789, 798, 1454, 1447, 20314, 1890, 4058, 269, 0, 5038, 277, 6030, 1336, 454, 20663, 3163, 26440, 4181, 454, 20663, 3163, 568, 519, 1353, 540, 5904, 269, 13018, 267, 8950, 3163, 568, 606, 538, 3829, 1413, 693, 1018, 568, 2009, 593, 513, 2780, 563, 20663, 3163, 6030, 1413, 693, 6620, 267, 875, 789, 616, 2813, 267, 8045, 543, 2966, 543, 786, 849, 1413, 693, 5752, 4654, 267, 6538, 2359, 543, 3684, 1565, 282, 8950, 3163, 6280, 6030, 616, 2356, 811, 540, 513, 7811, 1935, 547, 7384, 269, 0, 1103, 2487 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3237, 543, 4587, 11078, 6410, 547, 519, 2121, 615, 4133, 689, 27437, 1310, 740, 6504, 554, 559, 614, 543, 519, 562, 1794, 529, 3357, 547, 563, 763, 1686, 540, 4550, 1686, 540, 519, 9925, 338, 538, 27437, 620, 6975, 561, 785, 655, 2335, 849, 6069, 538, 1010, 4367, 547, 1010, 1433, 24431, 30146, 281, 513, 1686, 269, 5125, 781, 476, 6344, 267, 1822, 9925, 338, 3068, 8375, 4550, 5498, 2466, 1143, 689, 2487, 1660, 3916, 20404, 543, 513, 759, 4026, 550, 1318, 26310, 28929, 3350, 838, 1177, 2740, 676, 519, 30226, 619, 269, 634, 2078, 1063, 562, 21532, 27437, 519, 9371, 540, 28991, 545, 24431, 30146, 281, 689, 10723, 5931, 547, 32444, 1686, 568, 513, 476, 1220, 279, 1433, 676, 543, 4319, 536, 739, 558, 269, 8466, 24067, 4550, 5498, 2466, 1143, 13672, 1686, 2079, 540, 4550, 5498, 2466, 1143, 538, 27437, 538, 519, 1296, 3056, 909, 547, 32685, 4512, 267, 24431, 30146, 538, 1686, 281, 563, 10743, 786, 849, 1451, 827, 840, 8705, 9925, 880, 1272, 538, 27437, 543, 24431, 30146, 538, 1018, 723, 596, 4121, 540, 519, 1686, 540, 24431, 30146, 30172, 1299, 18759, 568, 269, 769, 713, 3992, 649, 786, 1451, 827, 24431, 30146, 538, 562, 21532, 27437, 649, 786, 2263, 519, 5072, 540, 519, 562, 21532, 5428, 781, 10168, 4481, 267, 649, 786, 269, 1323, 2363, 1168, 5893, 2272, 540, 1412, 329, 1168, 1532, 320, 1746, 262, 538, 10874, 4802, 538, 476, 4572, 272, 5267, 602, 24431, 30146, 729, 513, 1966, 538, 27437, 1256, 1354, 519, 4473, 540, 5734, 2401, 269, 17461, 547, 562, 1794, 1143, 1775, 281, 24431, 30146, 1686, 17118, 12570, 519, 1377, 540, 24431, 30146, 538, 27437, 896, 13275, 13797, 563, 5575, 540, 782, 267, 596, 798, 723, 538, 27437, 513, 1686, 6437, 799, 568, 811, 3908, 3379, 547, 267, 1577, 781, 2161, 267, 519, 8087, 2829, 543, 824, 3029, 540, 2868, 12151, 2069, 269, 4706, 1686, 5956, 609, 519, 1974, 540, 519, 1433, 540, 1609, 615, 267, 649, 1590, 1174, 519, 2797, 2783, 540, 27437, 267, 1141, 4550, 5498, 2466, 1143, 12090, 269, 14640, 5498, 2466, 1143, 538, 27437, 12090, 689, 513, 1297, 540, 2959, 519, 1101, 2707, 729, 2757, 22344, 4550, 5498, 2466, 1143, 602, 24141, 1686, 729, 519, 1650, 540, 519, 269, 1548, 568, 519, 2014, 540, 782, 519, 4550, 5498, 2466, 1143, 630, 656, 529, 30146, 267, 713, 729, 2523, 3020, 538, 27437, 1991, 547, 1018, 568, 519, 2014, 540, 782, 519, 4550, 5498, 2466, 1143, 538, 519, 1158, 563, 1607, 1007, 4550, 5498, 2466, 1143, 538, 27437, 31426, 609, 2242, 538, 519, 4182, 781, 8456, 4724, 32685, 13797, 543, 1121, 27320, 540, 543, 513, 1007, 2990, 4724, 519, 1686, 540, 32685, 13797, 269, 6014, 20655, 1923, 15415, 540, 4140, 15308, 1923, 1686, 540, 24431, 30146, 519, 5391, 601, 540, 519, 964, 1815, 3603, 3984, 568, 10419, 3603, 1996, 519, 9925, 338, 540, 27437, 269, 5125, 779, 1686, 3112, 26763, 856, 1018, 5481, 1705, 1354, 873, 543, 5103, 519, 10751, 4607, 267, 519, 24431, 30146, 729, 9602, 539, 267, 855, 711, 7006, 8215, 563, 17457, 4550, 5498, 2466, 1143, 519, 21481, 6257, 519, 1974, 538, 24067, 1686, 630, 1704, 628, 27437, 779, 4108, 14710, 538, 476, 4489, 279, 729, 30199, 593, 519, 9925, 338, 543, 519, 269, 634, 2868, 12151, 1686, 9754, 267, 24431, 30146, 281, 689, 922, 8129, 547, 519, 1459, 630, 16451, 2228, 1576, 269, 4427, 18285, 547, 938, 838, 691, 659, 639, 20394, 543, 1832, 909, 547, 4266, 609, 519, 5767, 4930, 269, 4210, 770, 11986, 910, 513, 1686, 540, 24431, 30146, 602, 5795, 4473, 547, 2413, 24431, 30146, 538, 535, 8896, 543, 27437, 941, 1514, 267, 2804, 267, 2797, 11783, 0, 1692, 547, 2328, 606, 1557, 827, 513, 4062, 540, 2575, 3288, 7946, 807, 632, 642, 718, 611, 13521, 2079, 1557, 1557, 1557, 593, 1373, 14646, 7521, 1557, 22344, 5784, 269, 20098, 8732, 553, 267, 642, 718, 611, 13521, 7521, 1299, 14291, 519, 1007, 1158, 13215, 519, 1863, 268, 24978, 1557, 2243, 593, 519, 3284, 24067, 1686, 981, 269, 4828, 593, 1148, 14266, 693, 1250, 1153, 26725, 5010, 2079, 1557, 900, 3205, 593, 2069, 3594, 3656, 1944, 2564, 17089, 1382, 1957, 267, 682, 7022, 632, 3288, 1065, 28362, 1664, 12031, 1603, 10652, 14137, 553, 5485, 10420, 32166, 10855, 1557, 3288, 7946, 807, 632, 642, 718, 611, 13521, 2079, 1557, 630, 25791, 2042, 3594, 264, 7493, 540, 606, 1382, 1957, 512, 1872, 754, 996, 1731, 269, 2974, 15077, 2788, 867, 659, 4157, 269, 966, 718, 611, 13521, 7521, 28866, 5299, 540, 1250, 30066, 7594, 1788, 17142, 5299, 540, 5299, 540, 6032, 18133, 337, 516, 341, 18524, 1554, 476, 280, 2852, 3498, 1557, 12987, 9076, 559, 831, 1023, 7084, 563, 1607, 3732, 20552, 3350, 1557, 568, 3370, 585, 21141, 5301, 1152, 891, 3646, 19411, 730, 538, 519, 4583, 642, 718, 611, 13521, 7521, 540, 476, 14028, 271, 268, 14028, 272, 267, 538, 799, 269, 5675, 568, 606, 1898, 5057, 547, 519, 1362, 865, 952, 1603, 3594, 616, 513, 4161, 585, 596, 267, 804, 990, 529, 1004, 642, 718, 611, 13521, 7521, 5750, 1229, 3549, 269, 4985, 547, 10120, 1686, 5289, 5322, 538, 19412, 18818, 10601, 838, 664, 2893, 534, 543, 27313, 1108, 538, 519, 1647, 6502, 519, 25174, 538, 621, 3315, 281, 899, 513, 1179, 4918, 602, 31438, 269, 634, 476, 272, 3364, 596, 1590, 917, 827, 3544, 2963, 630, 3147, 1800, 547, 519, 4966, 264, 1496, 2908, 476, 1001, 279, 19875, 316, 519, 642, 718, 611, 13521, 7521, 3284, 2313, 26725, 910, 8653, 281, 3284, 1686, 1279, 1557, 2243, 630, 19008, 1916, 8967, 664, 729, 519, 1101, 24067, 4182, 1141, 513, 7521, 3576, 1747, 1851, 30921, 593, 519, 26117, 540, 922, 3084, 21037, 267, 1759, 593, 519, 10206, 540, 1175, 10643, 630, 3286, 657, 512, 6403, 339, 592, 657, 264, 513, 1883, 2680, 729, 519, 4583, 642, 718, 611, 13521, 7521, 630, 14028, 271, 268, 14028, 272, 264, 1063, 536, 691, 565, 558, 2946, 632, 15255, 8732, 553, 543, 5104, 534, 575, 514, 15530, 632, 694, 335, 14243, 331, 1386, 320, 269, 17214, 909, 7357, 540, 2789, 3903, 267, 2110, 3210, 267, 543, 1557, 2055, 596, 786, 581, 7688, 7458, 693, 2547, 12353, 593, 3184, 960, 543, 596, 786, 581, 8600, 2110, 6114, 543, 3594, 630, 514, 851, 610, 538, 2898, 264, 593, 513, 269, 3571, 2272, 729, 7361, 3743, 585, 519, 10073, 540, 519, 1007, 4031, 540, 476, 15150, 273, 267, 799, 27618, 5065, 8474, 585, 519, 1101, 942, 538, 24067, 7810, 1686, 543, 3366, 547, 519, 642, 718, 611, 13521, 7521, 519, 1433, 2968, 606, 1271, 3693, 538, 519, 5137, 543, 18640, 540, 519, 865, 10777, 3109, 10828, 910, 519, 2245, 540, 10503, 519, 23882, 10504, 607, 563, 6124, 838, 664, 910, 3594, 3976, 519, 1483, 17485, 518, 540, 519, 642, 718, 611, 13521, 7521, 593, 519, 24134, 540, 1007, 1158, 21037, 729, 519, 5065, 7819, 267, 7142, 547, 581, 4857, 607, 269, 24955, 795, 14709, 781, 989, 338, 21738, 9043, 1753, 713, 1131, 3514, 1369, 519, 30361, 540, 5431, 5380, 1317, 621, 1500, 2312, 519, 1101, 5837, 7521, 630, 341, 718, 611, 13521, 7521, 269, 15875, 2601, 267, 2112, 3069, 267, 543, 1480, 2924, 538, 15255, 8732, 553, 781, 23294, 17144, 543, 519, 642, 718, 611, 13521, 7521, 630, 11793, 264, 1286, 32221, 513, 795, 5451, 675, 7666, 328, 543, 561, 7572, 535, 1716, 18372, 1964, 10517, 334, 519, 15626, 5260, 720, 607, 2588, 26508, 4137, 269, 8921, 1007, 1557, 693, 562, 266, 272, 281, 19037, 267, 519, 1592, 2630, 568, 1018, 2501, 547, 2247, 693, 519, 4090, 1775, 9244, 4363, 8720, 519, 642, 718, 611, 13521, 7521, 267, 585, 799, 519, 533, 698, 6577, 563, 13625, 5985, 7005, 642, 718, 611, 13521, 7521, 1557, 12031, 11556, 17825, 1140, 16307, 607, 513, 4651, 3594, 18296, 3803, 1557, 12987, 3732, 6644, 3594, 585, 11359, 3446, 2360, 540, 2112, 3594, 1863, 6780, 3435, 21189, 1164, 1153, 23504, 1557, 3584, 5098, 3584, 585, 1379, 1949, 269, 4260, 7958, 543, 3594, 2272, 540, 519, 9552, 540, 519, 967, 625, 585, 519, 1101, 942, 538, 24067, 7810, 1686, 543, 3366, 547, 519, 642, 718, 611, 13521, 7521, 519, 269, 7348, 1557, 910, 544, 25377, 328, 27682, 585, 642, 718, 611, 13521, 7521, 689, 642, 339, 29764, 476, 1001, 693, 4410, 588, 29827, 781, 6280, 12183, 544, 25377, 328, 2262, 1293, 281, 476, 3199, 274, 642, 339, 29764, 476, 1001, 737, 694, 4697, 476, 1626, 267, 476, 1001, 275, 7548, 2269, 1380, 2990, 1957, 593, 519, 269, 4985, 1775, 519, 2110, 2272, 540, 519, 642, 718, 611, 13521, 7521, 729, 606, 1271, 2680, 538, 15255, 8732, 553, 781, 1272, 10169, 771, 329, 31212, 1557, 593, 519, 3961, 543, 3483, 269, 1772, 972, 1022, 17005, 2594, 540, 1018, 4010, 729, 1767, 538, 519, 642, 718, 611, 13521, 7521, 538, 476, 14028, 271, 1256, 19528, 519, 17386, 2376, 538, 922, 17890, 1557, 593, 519, 18664, 965, 563, 16524, 268, 22967, 2243, 476, 272, 476, 3374, 3764, 476, 1428, 260, 1974, 1436, 540, 1576, 543, 981, 4367, 540, 2203, 18322, 1770, 2534, 1210, 519, 642, 718, 611, 13521, 7521, 540, 476, 14028, 271, 268, 14028, 272, 269, 966, 718, 611, 13521, 11824, 2950, 1141, 2818, 540, 519, 2046, 1500, 2055, 547, 519, 8470, 538, 6935, 547, 1114, 3344, 540, 713, 476, 274, 6113, 7521, 267, 1519, 19703, 3009, 585, 519, 10457, 267, 519, 1505, 269, 966, 718, 611, 13521, 7521, 910, 1863, 4647, 607, 7824, 3758, 630, 23486, 1070, 1257, 3758, 630, 339, 868, 264, 610, 1224, 2228, 585, 1863, 2852, 3498, 1557, 12987, 9076, 559, 831, 1023, 7084, 563, 763, 642, 718, 611, 13521, 7521, 281, 606, 5605, 20884, 1532, 583, 3146, 531, 9661, 13883, 538, 1063, 10600, 32364, 1409, 517, 5287, 513, 1957, 11643, 547, 519, 12200, 540, 519, 1153, 540, 18381, 540, 23920, 14646, 781, 6280, 269, 2160, 540, 2892, 600, 4545, 320, 547, 519, 642, 718, 611, 13521, 7521, 540, 476, 14028, 271, 268, 7906, 1063, 5104, 534, 575, 514, 15530, 632, 3594, 585, 927, 523, 24625, 4342, 8822, 267, 20410, 267, 543, 887, 17998, 267, 562, 344, 281, 546, 521, 1786, 4546, 267, 476, 1001, 277, 563, 763, 5067, 540, 513, 554, 659, 328, 12629, 9614, 267, 554, 10537, 2998, 6594, 693, 519, 795, 525, 3726, 2852, 538, 7254, 12137, 565, 27222, 538, 642, 718, 611, 13521, 543, 519, 10424, 543, 533, 2632, 604, 673, 6280, 538, 30067, 4815, 2749, 267, 15980, 1010, 20277, 781, 4110, 538, 476, 10082, 275, 269, 589, 10058, 4183, 538, 519, 4473, 540, 19525, 729, 519, 7004, 540, 1702, 2504, 689, 18381, 547, 2257, 606, 1557, 593, 1871, 267, 16839, 543, 519, 269, 634, 642, 718, 611, 13521, 7521, 20460, 1243, 281, 3168, 1394, 547, 519, 7521, 593, 5065, 22988, 1247, 6849, 519, 1699, 4567, 540, 24201, 519, 4574, 540, 519, 29122, 513, 533, 26696, 269, 634, 15784, 540, 519, 967, 625, 270, 519, 642, 718, 611, 13521, 7521, 729, 606, 4661, 936, 519, 2126, 540, 519, 6805, 1004, 538, 519, 1007, 1158, 536, 691, 565, 727, 632, 15255, 8732, 553, 18188, 713, 2680, 1310, 1010, 3921, 8724, 883, 519, 2531, 514, 4618, 1931, 269, 0, 24375, 940, 476, 9965, 280, 543, 9434, 2394, 476, 9692, 280, 267, 519, 18008, 4838, 729, 513, 26093, 1974, 538, 519, 1686, 540, 535, 8896, 540, 1576, 267, 1354, 519, 12614, 540, 519, 27693, 267, 519, 2489, 2818, 540, 519, 18008, 17069, 864, 1185, 1831, 5051, 25922, 609, 741, 17710, 16642, 15024, 1813, 547, 513, 4617, 2287, 4346, 8507, 538, 269, 2201, 476, 2420, 526, 5104, 569, 476, 9692, 280, 519, 17046, 4441, 540, 519, 11973, 1062, 267, 519, 31091, 25451, 543, 519, 31091, 11304, 1889, 267, 941, 9968, 6053, 20024, 538, 519, 18008, 3084, 21517, 630, 272, 1070, 543, 593, 476, 1015, 628, 632, 4895, 476, 9692, 280, 513, 1876, 729, 5293, 30260, 741, 4567, 607, 519, 1152, 3656, 4441, 585, 7893, 3259, 543, 2527, 538, 535, 8896, 630, 476, 273, 269, 476, 9692, 274, 910, 476, 9692, 280, 4367, 15764, 8696, 1202, 4026, 550, 519, 1686, 540, 519, 15764, 19902, 10617, 729, 711, 2854, 676, 519, 4619, 832, 267, 621, 729, 4625, 2854, 856, 540, 18008, 1686, 267, 543, 2394, 5063, 17792, 676, 950, 4280, 676, 1010, 2199, 2367, 547, 1291, 873, 267, 519, 8938, 1032, 2025, 3288, 887, 3832, 10937, 4302, 548, 514, 12038, 519, 32161, 1913, 281, 968, 328, 786, 1397, 8885, 17709, 269, 1548, 1705, 621, 1611, 547, 2661 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 314, 12709, 316, 1496, 23175, 6050, 316, 1496, 30238, 15080, 316, 1496, 30238, 22227, 316, 1496, 8070, 316, 1496, 300, 841, 316, 1496, 14294, 2987, 316, 1496, 13729, 1575, 316, 1496, 20055, 316, 1496, 8802, 3563, 2639, 17138, 281, 1879, 1705, 519, 772, 2529, 269, 2229, 1780, 513, 1876, 9598, 908, 519, 9484, 9653, 540, 5783, 543, 3557, 286, 7316, 666, 713, 1876, 581, 1336, 888, 2691, 1705, 519, 772, 2529, 269, 2229, 1780, 513, 1876, 9598, 908, 519, 9484, 9653, 540, 5783, 543, 3557, 286, 7316, 666, 713, 1876, 581, 1336, 286, 3683, 519, 1296, 267, 2705, 267, 519, 10966, 7040, 543, 2539, 5313, 10470, 723, 5368, 614, 2181, 1540, 713, 17203, 538, 1082, 2081, 269, 901, 5368, 614, 13133, 566, 540, 519, 9139, 814, 538, 1198, 1831, 519, 1876, 27581, 9598, 908, 519, 834, 29323, 566, 540, 5939, 543, 1533, 1701, 2913, 781, 1413, 1101, 693, 513, 1360, 5618, 1686, 540, 519, 30271, 7744, 543, 24117, 585, 5368, 614, 13133, 566, 267, 543, 1287, 649, 3513, 1865, 1018, 519, 8360, 834, 29323, 566, 540, 5939, 543, 1533, 257, 1797, 607, 621, 568, 4294, 538, 1977, 1857, 3609, 269, 2290, 540, 519, 10966, 7040, 781, 1034, 1025, 520, 656, 19374, 540, 519, 9139, 3357, 827, 998, 741, 5368, 614, 13133, 566, 540, 519, 9291, 540, 7126, 910, 519, 1101, 4557, 22853, 269, 13405, 547, 713, 13338, 18670, 267, 519, 9291, 540, 7126, 4294, 1152, 547, 519, 5313, 2229, 269, 18564, 519, 4890, 1893, 540, 519, 3689, 14821, 281, 834, 17812, 816, 4927, 1118, 1100, 1876, 454, 257, 1306, 835, 540, 1082, 3646, 547, 3970, 519, 1379, 540, 519, 5313, 2229, 267, 519, 9139, 2451, 6392, 936, 3909, 6927, 547, 519, 2276, 269, 634, 10966, 7040, 9846, 740, 22363, 547, 713, 13338, 6240, 2394, 1134, 883, 519, 14206, 2540, 269, 1809, 538, 519, 476, 4572, 276, 15194, 267, 27707, 869, 642, 269, 1715, 3840, 267, 519, 10966, 7040, 3459, 24937, 922, 21530, 25600, 543, 9551, 757, 269, 634, 7040, 2601, 539, 602, 835, 540, 519, 5301, 540, 519, 9050, 18818, 14821, 729, 547, 8831, 519, 9291, 540, 7126, 547, 519, 2276, 269, 630, 1607, 1131, 15069, 4228, 519, 7060, 540, 519, 5313, 10470, 547, 513, 1390, 4110, 4700, 634, 1686, 540, 519, 9050, 18818, 14821, 1281, 711, 1489, 741, 1543, 542, 267, 6862, 798, 519, 4505, 30271, 269, 16480, 267, 519, 476, 4572, 276, 7040, 16053, 519, 3140, 2594, 543, 519, 8369, 540, 741, 21530, 25600, 267, 9591, 513, 1007, 30675, 269, 27707, 869, 18808, 609, 5191, 540, 4633, 543, 519, 2046, 282, 3909, 6927, 1131, 4166, 1246, 269, 769, 519, 2796, 540, 4984, 267, 519, 7040, 781, 1101, 543, 1034, 29880, 5368, 614, 13133, 566, 3459, 538, 513, 476, 3707, 271, 10966, 7040, 15194, 267, 22616, 6202, 642, 269, 21086, 269, 3371, 267, 519, 7040, 4294, 519, 834, 16451, 3635, 257, 16083, 540, 519, 3689, 14821, 547, 519, 2829, 269, 11088, 267, 4984, 729, 513, 3557, 2339, 269, 3557, 10470, 941, 267, 543, 616, 267, 4625, 5827, 540, 7829, 519, 3390, 269, 11048, 267, 519, 10966, 7040, 267, 538, 1463, 11685, 547, 519, 3312, 15752, 540, 519, 9139, 267, 4294, 2943, 1776, 6712, 540, 519, 9291, 540, 7126, 547, 519, 2276, 269, 1358, 1705, 711, 3247, 972, 269, 634, 1985, 19506, 15194, 3357, 1524, 538, 476, 3707, 278, 269, 769, 519, 2013, 267, 661, 951, 517, 642, 269, 8274, 540, 4065, 267, 519, 10966, 7040, 4294, 519, 834, 652, 28344, 618, 16083, 257, 540, 519, 3689, 14821, 547, 519, 2829, 269, 769, 519, 2796, 540, 519, 834, 29323, 566, 540, 5939, 543, 1533, 2437, 519, 7040, 781, 13654, 5368, 614, 13133, 566, 540, 519, 9139, 729, 2347, 269, 3245, 476, 3707, 278, 4464, 267, 519, 7040, 814, 12199, 609, 2834, 640, 593, 3909, 2152, 267, 538, 1463, 18670, 540, 519, 3312, 2495, 540, 519, 3689, 14821, 269, 4256, 5947, 902, 267, 543, 1346, 540, 2539, 10470, 630, 325, 3985, 543, 3557, 264, 723, 1831, 519, 1876, 540, 834, 29323, 566, 540, 5939, 543, 1533, 1701, 2334, 729, 513, 1360, 5618, 6609, 540, 875, 519, 5313, 10470, 723, 3144, 6392, 936, 3909, 2152, 267, 5368, 614, 31147, 519, 3689, 14821, 543, 7311, 621, 547, 519, 2276, 676, 1259, 540, 519, 9050, 18818, 14821, 269, 2353, 540, 713, 729, 2944, 538, 2312, 18670, 540, 519, 4890, 2262, 532, 540, 519, 9139, 267, 607, 1134, 607, 519, 15752, 540, 922, 3265, 619, 269, 634, 2413, 1523, 540, 834, 29323, 566, 540, 5939, 543, 1533, 257, 666, 711, 581, 20582, 1210, 519, 3140, 2594, 269, 4438, 519, 2063, 5108, 267, 519, 10470, 267, 693, 782, 2157, 267, 723, 12199, 538, 2081, 602, 9247, 10018, 519, 5191, 689, 4984, 267, 3079, 540, 519, 5191, 540, 4984, 269, 834, 20225, 9653, 540, 5939, 543, 1533, 2437, 607, 4294, 547, 2069, 267, 1797, 602, 513, 11755, 693, 513, 22692, 16008, 568, 796, 6247, 6627, 269, 898, 849, 1797, 602, 1053, 949, 711, 23249, 585, 513, 4090, 540, 16563, 693, 519, 4098, 540, 741, 1153, 1554, 269, 898, 1797, 602, 513, 562, 18356, 6429, 949, 711, 581, 10268, 593, 1857, 3959, 8259, 972, 616, 824, 10525, 630, 324, 3052, 269, 13244, 1849, 1021, 610, 8285, 4054, 264, 602, 16712, 1125, 519, 6881, 269, 4653, 781, 17748, 540, 834, 29323, 566, 540, 5939, 543, 1533, 257, 814, 849, 1044, 1031, 547, 4894, 8978, 22613, 689, 1857, 3959, 267, 543, 3909, 6698, 689, 2749, 20910, 269, 898, 814, 1044, 1031, 547, 4894, 519, 14210, 16710, 906, 689, 5480, 7741, 267, 1256, 1498, 789, 616, 20077, 538, 6149, 1369, 519, 6189, 540, 519, 10966, 7040, 2679, 269, 634, 1523, 814, 1044, 1031, 547, 2061, 3909, 7215, 593, 10531, 12689, 10824, 269, 1656, 891, 616, 855, 513, 1906, 540, 519, 4013, 3156, 540, 519, 1523, 267, 610, 1876, 540, 834, 29323, 566, 540, 5939, 543, 1533, 1701, 2290, 1058, 1174, 602, 834, 29323, 566, 540, 5939, 543, 1533, 257, 568, 711, 2965, 513, 1876, 269, 898, 568, 513, 14985, 267, 610, 513, 3656, 1523, 267, 602, 814, 1044, 8045, 676, 519, 1585, 10470, 5097, 936, 519, 2063, 15823, 1296, 269, 1403, 713, 1523, 267, 607, 8385, 6956, 267, 1131, 723, 1044, 4294, 609, 11007, 936, 519, 1296, 267, 3013, 1131, 6157, 581, 513, 1114, 2197, 1318, 1631, 269, 16241, 4082, 1131, 21707, 267, 543, 519, 10470, 1131, 711, 581, 30562, 534, 1645, 519, 3909, 1272, 540, 519, 1977, 1004, 269, 634, 14985, 540, 834, 29323, 566, 540, 5939, 543, 1533, 257, 814, 1044, 1031, 267, 543, 568, 1373, 1031, 267, 547, 3927, 1625, 613, 4984, 689, 519, 1857, 4009, 269, 634, 3140, 5133, 593, 5939, 270, 8063, 2152, 8761, 513, 1454, 1114, 1650, 269, 634, 2229, 729, 547, 13918, 519, 3909, 2950, 282, 4984, 543, 3909, 4082, 941, 547, 581, 9415, 269, 901, 568, 1946, 267, 585, 1383, 267, 519, 1101, 6837, 4280, 5518, 6723, 6115, 547, 3390, 513, 21175, 1160, 17474, 2390, 12032, 540, 519, 9291, 540, 7126, 269, 4653, 267, 602, 2259, 1131, 581, 9763, 607, 796, 6247, 6627, 269, 898, 1131, 29875, 519, 834, 29323, 566, 540, 5939, 543, 1533, 4799, 8070, 518, 19410, 281, 18040, 16730, 3008, 621, 568, 519, 10279, 540, 782, 6082, 547, 11760, 519, 1364, 775, 540, 31471, 26663, 2696, 267, 547, 23491, 3571, 786, 267, 547, 581, 18507, 585, 3571, 2640, 267, 543, 1208, 29087, 547, 5579, 648, 3571, 4027, 543, 12797, 282, 543, 24641, 1312, 17921, 325, 525, 540, 6837, 723, 267, 676, 741, 4745, 12233, 267, 1270, 1030, 1540, 803, 834, 1729, 4363, 547, 519, 1004, 540, 519, 2136, 2276, 513, 667, 17751, 5508, 29706, 13993, 27912, 8946, 23177, 294, 4353, 5058, 543, 623, 6938, 312, 2207, 267, 547, 581, 4767, 676, 14344, 609, 18507, 12271, 519, 1082, 543, 5365, 7957, 832, 540, 31471, 26663, 2696, 267, 2523, 676, 3413, 1800, 873, 606, 4316, 4708, 2406, 547, 552, 1111, 629, 331, 604, 327, 513, 1106, 540, 2229, 585, 741, 3106, 543, 8788, 281, 257, 715, 8582, 8946, 2207, 9128, 16800, 267, 594, 798, 4363, 543, 3413, 793, 8946, 7838, 306, 31165, 267, 519, 29375, 7728, 312, 4149, 21197, 8025, 667, 17751, 540, 715, 10976, 4932, 21612, 1985, 267, 547, 581, 13991, 676, 519, 1004, 540, 519, 10623, 2276, 547, 519, 535, 16291, 540, 602, 1390, 543, 32219, 9861, 945, 568, 519, 18689, 550, 2278, 540, 782, 519, 1434, 602, 729, 267, 602, 568, 267, 610, 602, 786, 581, 282, 602, 649, 949, 1287, 782, 26595, 538, 17021, 21349, 13924, 938, 535, 1550, 516, 543, 18803, 7064, 1721, 3571, 2186, 1416, 543, 4027, 540, 519, 1004, 540, 713, 2197, 3105, 547, 741, 4742, 513, 4182, 282, 585, 519, 535, 793, 531, 543, 32032, 24271, 625, 543, 519, 15028, 11410, 1993, 1431, 540, 3571, 1364, 775, 538, 519, 1330, 10623, 543, 598, 743, 18860, 542, 540, 519, 3735, 2112, 282, 585, 519, 1390, 4110, 540, 22471, 1006, 267, 9769, 267, 543, 7899, 799, 649, 723, 535, 1550, 10150, 282, 734, 585, 519, 4708, 762, 543, 7787, 6073, 538, 799, 649, 723, 1044, 5512, 547, 552, 1111, 28344, 1230, 1111, 4801, 540, 2229, 585, 938, 535, 23245, 543, 1838, 710, 12028, 267, 543, 3226, 519, 3084, 835, 1631, 25015, 1128, 21114, 282, 734, 585, 519, 3540, 543, 3909, 15698, 609, 799, 649, 616, 6926, 742, 539, 267, 543, 519, 1797, 649, 723, 540, 16565, 543, 886, 18860, 532, 3730, 1702, 282, 734, 543, 267, 538, 2489, 267, 585, 782, 519, 1390, 543, 1585, 7957, 2293, 799, 1261, 814, 1044, 5418, 2378, 539, 547, 24705, 2390, 721, 269, 1656, 849, 267, 602, 649, 949, 1287, 26595, 538, 4779, 1111, 1208, 29087, 5356, 938, 19001, 543, 535, 6269, 997, 725, 547, 519, 1390, 7083, 543, 681, 17526, 540, 8315, 543, 581, 325, 2465, 577, 13924, 547, 533, 30972, 938, 3084, 543, 824, 17464, 325, 26572, 742, 687, 282, 734, 547, 5512, 721, 782, 267, 2436, 538, 1857, 330, 610, 4357, 10264, 725, 267, 547, 1685, 938, 8611, 531, 543, 3448, 11645, 5265, 543, 14047, 1302, 282, 547, 11904, 938, 2817, 6554, 513, 6926, 742, 532, 547, 782, 519, 1004, 676, 598, 1111, 14688, 1373, 513, 6554, 540, 7385, 267, 5104, 1111, 267, 543, 598, 1111, 6627, 4031, 267, 546, 604, 920, 564, 569, 543, 5132, 2685, 13401, 543, 23491, 539, 282, 547, 2149, 543, 3391, 782, 535, 30371, 793, 338, 543, 6082, 630, 18034, 535, 1276, 607, 723, 1352, 1233, 2186, 928, 12028, 21349, 721, 5148, 543, 547, 6926, 12028, 873, 609, 1434, 6608, 267, 4708, 267, 543, 6677, 867, 282, 547, 3895, 519, 1702, 543, 2259, 540, 3020, 4984, 543, 16495, 267, 543, 519, 1213, 12522, 540, 535, 7220, 1851, 873, 543, 721, 282, 543, 267, 3622, 547, 9886, 21349, 782, 18495, 535, 1276, 513, 4110, 540, 13796, 1527, 704, 640, 607, 646, 4805, 6487, 547, 581, 581, 1111, 269, 717, 4353, 2894, 896, 1250, 1688, 267, 693, 519, 2749, 540, 1715, 25286, 1251, 267, 519, 3791, 1554, 540, 5239, 267, 538, 519, 1032, 540, 938, 7083, 267, 835, 8536, 905, 1597, 4627, 543, 32210, 5991, 710, 269, 630, 338, 11220, 264, 717, 269, 6115, 11905, 281, 634, 12590, 2578, 514, 601, 267, 13723, 267, 5239, 476, 1691, 267, 476, 9965, 280, 454, 4433, 11220, 264, 717, 269, 6115, 11905, 281, 634, 12590, 2578, 514, 601, 267, 13723, 267, 5239, 476, 1691, 267, 476, 9965, 280, 263, 272, 3239, 994, 12749, 8525, 5455, 9509, 27387, 8525, 13560, 645, 18847, 13624, 520, 652, 454, 24375, 29895, 25042, 585, 19410, 1948, 476, 280, 563, 258, 278, 269, 1677, 281, 12653, 1258, 630, 258, 271, 994, 7197, 782, 13039, 616, 476, 26341, 6262, 264, 274, 14078, 269, 6904, 1797, 789, 616, 513, 595, 3918, 9569, 540, 519, 1533, 269, 5221, 540, 713, 4567, 267, 519, 594, 11965, 666, 267, 543, 1281, 267, 27774, 1018, 666, 581, 840, 3737, 689, 519, 17870, 1080, 2483, 30706, 5469, 1022, 14640, 2782, 590, 1069, 976, 286, 1586, 1862, 342, 5661, 540, 17409, 1671, 826, 2807, 282, 8679, 258, 1724, 269, 1677, 281, 26818, 26489, 534, 329, 332, 630, 258, 280, 994, 30706, 5469, 1022, 14640, 2782, 590, 1069, 976, 888, 28785, 1862, 342, 5661, 540, 17409, 1671, 826, 2807, 282, 8679, 258, 1724, 269, 1677, 281, 26818, 26489, 534, 329, 332, 630, 258, 280, 264, 0, 30547, 540, 630, 23547, 18028, 364, 11695, 362, 26498, 2633, 373, 18028, 357, 21005, 264, 562, 3305, 2129, 710, 324, 538, 7005, 454 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 950, 1818, 14420, 543, 22090, 4486, 519, 5714, 689, 519, 544, 4770, 1184, 3568, 1472, 476, 2568, 268, 3583, 2600, 28915, 846, 269, 1879, 28915, 846, 568, 8311, 1242, 609, 13803, 621, 3587, 25496, 267, 543, 519, 1267, 1934, 2421, 568, 19844, 543, 3327, 8166, 269, 631, 5306, 846, 568, 519, 9030, 4006, 538, 519, 530, 677, 543, 2501, 689, 519, 15059, 540, 20566, 1282, 519, 544, 4770, 1184, 563, 1432, 568, 28915, 846, 543, 875, 568, 621, 1500, 888, 2691, 1818, 14420, 267, 28915, 846, 4386, 538, 519, 4731, 1154, 1184, 267, 543, 950, 519, 28915, 568, 1253, 3739, 4568, 269, 1924, 267, 950, 1818, 14420, 543, 22090, 4486, 519, 5714, 689, 519, 544, 4770, 1184, 3568, 1472, 476, 2568, 268, 3583, 2600, 28915, 846, 269, 0, 6097, 547, 1082, 2090, 267, 1519, 1346, 676, 12370, 2160, 543, 519, 25832, 18669, 267, 14237, 17052, 568, 1271, 585, 1134, 5630, 269, 715, 4669, 1005, 543, 10115, 538, 17052, 666, 3142, 10373, 1871, 547, 938, 2729, 269, 14886, 4228, 938, 1514, 5121, 543, 4296, 269, 1358, 6338, 1007, 2833, 543, 1683, 1569, 547, 3407, 2200, 267, 5796, 543, 3318, 3255, 563, 293, 12188, 2539, 1981, 540, 2566, 543, 4965, 543, 7794, 1582, 12635, 269, 14886, 1404, 513, 2629, 1909, 538, 938, 2790, 1072, 269, 1358, 2709, 31070, 543, 513, 2631, 540, 10362, 267, 4227, 4606, 540, 20420, 543, 10072, 269, 9861, 2111, 547, 2671, 938, 4555, 267, 19048, 543, 3675, 903, 609, 2828, 666, 3565, 547, 4824, 1582, 12635, 267, 4389, 2566, 543, 2799, 8788, 563, 26660, 2828, 616, 811, 1271, 547, 1134, 5630, 982, 519, 7274, 540, 2828, 269, 4340, 547, 1382, 676, 10228, 10236, 6048, 28120, 14480, 8663, 267, 519, 3328, 1268, 814, 1614, 547, 2947, 1360, 2673, 2828, 269, 14886, 4721, 616, 3710, 593, 3838, 2833, 602, 3565, 547, 513, 2631, 540, 20106, 543, 10802, 938, 2729, 269, 19171, 2828, 666, 4161, 543, 8300, 721, 547, 1831, 1732, 8747, 540, 6000, 269, 1358, 1683, 16268, 5955, 267, 2709, 1114, 5380, 543, 18663, 721, 547, 1900, 856, 540, 938, 4313, 10851, 563, 293, 12188, 616, 607, 1271, 547, 2168, 1072, 607, 2732, 543, 2168, 2534, 269, 4284, 1227, 267, 1514, 4276, 609, 1004, 945, 8300, 721, 547, 1332, 543, 2087, 568, 5532, 547, 2539, 1973, 2604, 267, 2539, 1560, 2527, 4994, 267, 1447, 6553, 543, 513, 4389, 1981, 540, 3987, 563, 293, 12188, 4721, 616, 519, 1297, 835, 13525, 540, 7772, 543, 8788, 269, 16200, 17052, 723, 513, 2318, 1198, 593, 938, 2949, 8788, 543, 1134, 5630, 269, 3194, 9846, 2982, 602, 2348, 2673, 267, 11215, 17052, 568, 2404, 609, 1732, 2790, 1072, 267, 2539, 2566, 2157, 543, 2799, 1272, 9547, 563, 293, 12188, 1222, 568, 17047, 609, 513, 2539, 1981, 540, 2669, 269, 5525, 723, 1336, 602, 2043, 609, 2178, 1514, 4296, 4043, 547, 723, 2539, 4220, 540, 3384, 5312, 10108, 267, 971, 607, 2295, 2068, 543, 4965, 563, 293, 12188, 616, 851, 540, 938, 1582, 13282, 607, 789, 666, 7794, 12046, 269, 14886, 666, 5000, 721, 547, 32696, 538, 8902, 6197, 6208, 267, 971, 607, 2732, 543, 3635, 267, 543, 2057, 14432, 3283, 267, 971, 607, 6704, 543, 7296, 269, 14886, 616, 849, 972, 547, 6432, 267, 26003, 1125, 267, 2709, 513, 13105, 547, 10709, 593, 1282, 2352, 2053, 543, 948, 721, 8661, 1434, 2053, 269, 5525, 723, 3254, 602, 1004, 609, 2178, 1514, 4296, 616, 1447, 2693, 547, 1205, 7210, 543, 267, 1058, 789, 1205, 7210, 267, 4043, 547, 9156, 811, 3533, 563, 9596, 811, 827, 519, 2640, 540, 14120, 543, 14637, 17052, 538, 713, 9791, 9061, 14044, 4270, 5174, 4370, 11433, 510, 1357, 14373, 269, 1411, 666, 849, 1129, 909, 585, 2104, 16108, 25700, 543, 1367, 1134, 5630, 1357, 21577, 543, 1199, 14591, 1934, 267, 1141, 596, 3580, 1265, 2250, 1357, 21577, 543, 1199, 14591, 593, 3747, 563, 20124, 5491, 281, 5192, 1399, 16103, 0, 1432, 1281, 554, 671, 517, 1611, 286, 7348, 519, 4214, 540, 554, 671, 517, 543, 782, 1644, 27325, 2474, 5627, 554, 671, 517, 2630, 912, 5825, 720, 540, 670, 17162, 2177, 454, 763, 28008, 1412, 295, 17162, 2177, 262, 6763, 585, 1412, 3835, 593, 262, 543, 568, 4122, 1031, 538, 1257, 532, 547, 1217, 519, 18579, 602, 596, 991, 873, 547, 7227, 585, 513, 2110, 1974, 540, 942, 269, 898, 666, 581, 1031, 538, 513, 3099, 540, 3871, 267, 1519, 950, 596, 991, 547, 9096, 513, 4305, 610, 950, 596, 991, 547, 4431, 547, 1776, 5048, 1354, 1065, 2391, 547, 519, 1699, 6643, 563, 31094, 589, 281, 19850, 267, 666, 596, 948, 803, 609, 1250, 6780, 888, 31094, 645, 281, 17610, 267, 670, 17162, 2177, 267, 594, 6415, 18138, 909, 1945, 563, 31094, 589, 281, 594, 6415, 593, 1250, 1259, 547, 2743, 596, 267, 855, 594, 3893, 12758, 538, 6808, 563, 31094, 645, 281, 28514, 267, 670, 17162, 2177, 269, 3143, 19048, 267, 1491, 707, 942, 563, 31094, 589, 281, 1548, 781, 519, 2626, 547, 2243, 476, 276, 593, 519, 7688, 888, 31094, 645, 281, 594, 6415, 711, 2386, 267, 670, 17162, 2177, 269, 2913, 803, 2638, 1250, 4967, 563, 14300, 540, 670, 17162, 2177, 1031, 538, 1257, 532, 666, 948, 6655, 519, 5048, 540, 6998, 519, 18579, 547, 3180, 593, 1247, 596, 7390, 547, 1945, 3116, 269, 898, 568, 513, 2241, 28008, 602, 666, 4688, 942, 543, 948, 2057, 21390, 269, 0, 296, 3913, 819, 1949, 616, 1883, 3334, 540, 9817, 543, 6472, 602, 948, 547, 2327, 602, 519, 2599, 666, 1376, 543, 2196, 7561, 269, 9453, 606, 2500, 27307, 1062, 267, 513, 1286, 610, 824, 6174, 1131, 581, 8572, 547, 1376, 610, 7500, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 1114, 2010, 540, 27307, 1949, 267, 875, 789, 960, 267, 543, 519, 2640, 789, 1683, 269, 1323, 27307, 1062, 568, 9247, 606, 3167, 5547, 602, 2337, 547, 5352, 513, 8141, 3330, 519, 13674, 12068, 540, 606, 2599, 269, 901, 8141, 5337, 2572, 519, 4492, 25101, 7848, 3330, 519, 12718, 543, 2488, 519, 1379, 2556, 585, 519, 2599, 547, 7500, 269, 1280, 1346, 3168, 547, 6928, 741, 1286, 547, 12968, 565, 21343, 267, 972, 616, 1082, 6325, 12968, 565, 21343, 1286, 11288, 3549, 602, 666, 1683, 2922, 543, 5150, 3560, 2533, 563, 296, 3913, 819, 1949, 616, 1500, 909, 540, 1896, 3334, 267, 971, 607, 8141, 11690, 338, 267, 27307, 27810, 267, 2733, 12781, 267, 543, 1835, 3471, 3873, 30835, 269, 1284, 786, 1413, 693, 875, 1142, 540, 891, 3334, 1568, 1927, 547, 1711, 519, 8141, 2556, 585, 606, 2599, 547, 1376, 543, 2196, 7561, 269, 1284, 786, 849, 1865, 519, 2956, 540, 4509, 543, 25122, 707, 27307, 1062, 547, 2327, 602, 621, 1568, 7157, 543, 7561, 563, 1432, 568, 606, 27307, 1062, 286, 2304, 27307, 1062, 568, 513, 3926, 602, 7727, 519, 8141, 2556, 547, 5337, 924, 519, 2011, 1922, 3241, 7848, 538, 513, 13674, 12068, 540, 606, 2599, 269, 898, 5161, 540, 1896, 3334, 602, 5352, 267, 1852, 267, 543, 15814, 519, 8141, 602, 5337, 2572, 519, 4492, 543, 2011, 7848, 269, 769, 513, 17405, 2599, 267, 519, 8141, 11690, 338, 616, 519, 1034, 1455, 1826, 540, 27307, 1062, 563, 1432, 616, 519, 3334, 540, 606, 27307, 1062, 286, 2304, 27307, 1062, 3335, 5161, 540, 513, 2733, 12460, 267, 8141, 11690, 338, 267, 11443, 267, 543, 513, 16509, 563, 763, 2733, 12460, 568, 3743, 585, 23332, 519, 5122, 1699, 689, 519, 6007, 547, 519, 8141, 11690, 338, 269, 634, 8141, 11690, 338, 1711, 513, 8141, 799, 5337, 2572, 519, 4492, 543, 2011, 7848, 538, 519, 13674, 12068, 269, 634, 11443, 5849, 602, 1379, 568, 11843, 689, 519, 2733, 12460, 547, 519, 8141, 11690, 338, 269, 634, 16509, 8637, 1648, 543, 1287, 13847, 621, 950, 2877, 547, 1711, 513, 8141, 563, 1692, 798, 27307, 1949, 960, 286, 763, 2733, 12460, 15920, 606, 5122, 5365, 547, 519, 8141, 11690, 338, 950, 2877, 563, 1607, 5365, 568, 2366, 689, 519, 6007, 998, 519, 2733, 12460, 543, 1287, 547, 1142, 1367, 8141, 11690, 269, 901, 3123, 513, 8141, 547, 581, 6383, 799, 1287, 5337, 2572, 519, 4492, 543, 2011, 7848, 538, 519, 13674, 12068, 269, 634, 4492, 543, 2011, 7848, 1287, 17236, 543, 5932, 519, 1648, 2877, 547, 1379, 519, 2599, 563, 1432, 568, 519, 2956, 540, 606, 27307, 1062, 286, 2304, 27307, 1062, 568, 1898, 585, 1379, 532, 513, 1286, 269, 9453, 621, 267, 519, 1286, 1131, 711, 1376, 610, 2196, 5265, 563, 763, 27307, 1062, 5932, 519, 8141, 2556, 585, 4492, 13674, 538, 519, 2599, 269, 9453, 713, 13674, 267, 1100, 1379, 666, 581, 6383, 563, 13349, 2152, 609, 27307, 1949, 543, 875, 547, 4368, 873, 5861, 2174, 517, 2152, 609, 27307, 1949, 1331, 25768, 11443, 267, 30599, 4765, 8141, 11690, 338, 267, 3983, 27810, 267, 543, 24571, 3022, 4492, 12086, 269, 1677, 13209, 891, 2152, 267, 596, 1058, 1101, 2638, 585, 7298, 4191, 540, 3441, 610, 14809, 593, 1022, 540, 519, 3334, 269, 1403, 1022, 616, 1336, 267, 789, 1058, 581, 8719, 610, 30465, 607, 4166, 607, 2009, 563, 2252, 972, 616, 1100, 7298, 4191, 540, 3441, 267, 1287, 596, 1058, 2638, 585, 1022, 10690, 4296, 610, 11443, 24966, 269, 1403, 1022, 616, 1336, 267, 789, 1058, 581, 9395, 2989, 610, 8719, 607, 4166, 607, 2009, 563, 2710, 1114, 6517, 723, 1114, 2010, 540, 27307, 1949, 286, 8133, 267, 1114, 6517, 723, 1114, 2010, 540, 27307, 1949, 4470, 593, 741, 1118, 543, 2203, 269, 1280, 1383, 267, 930, 6517, 949, 723, 5907, 27307, 1949, 1247, 1866, 949, 723, 2757, 2798, 1949, 269, 3962, 1826, 540, 1062, 3340, 1114, 2694, 543, 3334, 547, 7500, 5265, 543, 7561, 269, 769, 3932, 267, 606, 27307, 1062, 568, 513, 4105, 851, 540, 1022, 1286, 2599, 607, 621, 2488, 519, 8141, 2877, 585, 13674, 538, 1931, 547, 5352, 1379, 563, 2005, 5161, 540, 1896, 3334, 602, 960, 1927, 547, 3132, 519, 8141, 602, 5337, 2572, 519, 4492, 543, 2011, 7848, 538, 519, 13674, 12068, 269, 5871, 2152, 609, 27307, 1949, 666, 2039, 689, 25768, 11443, 547, 30599, 4765, 8141, 11690, 338, 543, 3983, 27810, 269, 7756, 6517, 849, 723, 1114, 2010, 540, 27307, 1949, 4470, 593, 741, 1118, 543, 2203, 563, 1432, 568, 606, 22695, 819, 3590, 286, 2304, 27307, 1062, 568, 606, 5907, 1062, 602, 568, 3743, 585, 3246, 519, 8141, 2877, 547, 5337, 924, 519, 4492, 543, 2011, 7848, 538, 519, 13674, 12068, 540, 606, 2599, 269, 898, 5161, 540, 1585, 3334, 971, 607, 8141, 11690, 338, 267, 2733, 12460, 267, 27307, 16509, 267, 23301, 267, 543, 19218, 563, 763, 8141, 11690, 338, 616, 3743, 585, 27510, 519, 13674, 1184, 676, 5337, 1746, 519, 4492, 25101, 7848, 3330, 519, 2599, 781, 26561, 269, 634, 2733, 12460, 2337, 1463, 519, 1164, 19581, 5653, 1699, 689, 519, 27307, 16509, 547, 519, 8141, 11690, 338, 538, 519, 2953, 20590, 1931, 269, 634, 27307, 16509, 4679, 519, 6453, 540, 519, 5201, 4947, 689, 519, 6007, 865, 602, 621, 666, 1711, 513, 8141, 693, 519, 8141, 11690, 7934, 269, 634, 23301, 7140, 3330, 519, 2733, 12460, 543, 10596, 5201, 547, 1142, 8141, 11690, 538, 19588, 563, 7661, 267, 519, 19218, 8637, 5122, 1648, 543, 2337, 547, 2327, 602, 519, 8141, 568, 9447, 547, 1142, 8141, 11690, 538, 513, 12905, 6073, 269, 634, 27307, 1062, 1568, 676, 8391, 513, 5365, 689, 519, 1286, 781, 2780, 543, 1287, 11488, 513, 1164, 6453, 1699, 689, 519, 27307, 16509, 547, 519, 8141, 11690, 7934, 269, 901, 1164, 6453, 1699, 1287, 5932, 513, 8141, 602, 5337, 2572, 519, 4492, 25101, 7848, 3330, 519, 13674, 12068, 269, 901, 1184, 568, 7368, 585, 1142, 12718, 538, 19588, 267, 2870, 513, 3532, 1648, 5305, 602, 7060, 519, 1286, 781, 2599, 563, 13349, 12983, 609, 22695, 819, 7010, 763, 1034, 1455, 2152, 609, 27307, 1949, 616, 1644, 547, 8141, 11690, 338, 267, 4492, 7630, 832, 267, 543, 824, 3334, 563, 8967, 1046, 11690, 338, 666, 1831, 25768, 610, 12816, 856, 936, 942, 267, 3056, 547, 4057, 2599, 2773, 269, 901, 666, 581, 4857, 998, 513, 3765, 13933, 267, 513, 6175, 538, 1379, 267, 610, 4057, 4492, 4346, 269, 634, 8141, 11690, 2115, 547, 581, 8719, 538, 1931, 547, 4368, 713, 3390, 269, 23556, 7630, 832, 666, 849, 1831, 24571, 3022, 610, 17808, 936, 942, 267, 799, 786, 1291, 547, 513, 6175, 538, 1379, 543, 4492, 4346, 563, 1607, 3390, 666, 581, 4857, 998, 513, 11315, 7329, 548, 267, 588, 16226, 267, 610, 513, 3668, 540, 1379, 950, 23960, 269, 1677 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 284, 14277, 1626, 14824, 293, 3757, 25556, 31116, 825, 533, 7597, 284, 14277, 14625, 14824, 294, 629, 517, 31116, 825, 533, 3583, 284, 14277, 12893, 14824, 294, 25995, 31116, 825, 533, 10170, 284, 14277, 6977, 14824, 10481, 3073, 807, 31116, 825, 533, 7761, 284, 14277, 14138, 14824, 294, 327, 3570, 31116, 825, 533, 10463, 284, 14277, 1240, 14824, 294, 756, 1537, 30198, 31116, 825, 533, 10619, 284, 14277, 4792, 14824, 294, 3757, 3385, 31116, 825, 533, 4037, 284, 14277, 866, 14824, 294, 13440, 807, 31116, 825, 533, 10602, 284, 14277, 2004, 14824, 294, 549, 523, 1633, 807, 31116, 825, 533, 6507, 284, 14277, 5780, 14824, 10817, 611, 2728, 701, 31116, 825, 533, 4281, 284, 14277, 1001, 14824, 10817, 600, 31116, 825, 533, 8064, 284, 14277, 6858, 14824, 294, 10663, 7356, 320, 31116, 825, 533, 3199, 284, 14277, 3445, 14824, 10817, 27011, 31116, 825, 533, 10037, 284, 14277, 6434, 14824, 10817, 27011, 25845, 320, 31116, 825, 533, 11025, 284, 14277, 14056, 14824, 294, 9334, 320, 31116, 825, 533, 10695, 284, 14277, 9340, 14824, 294, 9334, 320, 8278, 340, 31247, 31116, 825, 533, 10019, 284, 14277, 14093, 14824, 294, 9334, 320, 5174, 1170, 879, 31116, 825, 533, 5952, 284, 14277, 6924, 14824, 295, 7159, 328, 31116, 825, 533, 10436, 284, 14277, 3953, 14824, 29804, 7701, 31116, 825, 533, 9262, 284, 14277, 7597, 14824, 295, 1180, 32136, 31116, 825, 533, 6434, 284, 14277, 15647, 14824, 295, 784, 15158, 31116, 825, 533, 8660, 284, 14277, 736, 14824, 295, 2426, 6319, 31116, 825, 533, 3445, 284, 14277, 6795, 14824, 296, 269, 595, 2727, 534, 31116, 825, 533, 11011, 284, 14277, 25546, 14824, 296, 269, 23081, 657, 630, 11390, 9934, 17983, 2639, 825, 533, 10844, 284, 14277, 2735, 14824, 296, 269, 13648, 31116, 825, 533, 11152, 284, 14277, 1691, 14824, 296, 269, 674, 3266, 324, 31116, 825, 533, 11463, 284, 14277, 8660, 14824, 296, 269, 8895, 777, 31310, 31116, 825, 533, 4817, 284, 14277, 9262, 14824, 296, 269, 5689, 9109, 553, 31116, 825, 533, 9834, 284, 14277, 10711, 14824, 296, 269, 631, 4115, 553, 1642, 17368, 324, 31116, 825, 533, 9032, 284, 14277, 14225, 14824, 296, 269, 21244, 31116, 825, 533, 7176, 284, 14277, 15836, 14824, 296, 269, 1234, 684, 542, 31116, 825, 533, 4200, 284, 14277, 18891, 14824, 296, 269, 6428, 14137, 31116, 825, 533, 1911, 284, 14277, 25908, 14824, 296, 269, 5164, 2102, 525, 2826, 23307, 553, 31116, 825, 533, 6200, 284, 14277, 3199, 14824, 296, 269, 5164, 2102, 525, 661, 31323, 308, 31116, 825, 533, 9083, 284, 14277, 21327, 14824, 296, 269, 9931, 529, 586, 28358, 10044, 31116, 825, 533, 9818, 284, 14277, 14689, 14824, 19328, 31116, 825, 533, 10441, 284, 14277, 8182, 14824, 5715, 2158, 807, 31116, 825, 533, 10755, 284, 14277, 5908, 14824, 296, 3757, 31116, 825, 533, 11793, 284, 14277, 6942, 14824, 296, 12036, 31116, 825, 533, 13040, 284, 14277, 2420, 14824, 296, 337, 1633, 320, 31116, 825, 533, 10482, 284, 14277, 2641, 14824, 3674, 1633, 807, 31116, 825, 533, 11820, 284, 14277, 6642, 14824, 29994, 31116, 825, 533, 8099, 284, 14277, 2537, 14824, 2005, 26515, 31116, 825, 533, 9340, 284, 14277, 3583, 14824, 297, 4821, 3821, 31116, 825, 533, 12208, 284, 14277, 14065, 14824, 297, 777, 517, 31116, 825, 533, 13647, 284, 14277, 6245, 14824, 297, 14493, 807, 31116, 825, 533, 14625, 284, 14277, 14341, 14824, 298, 1794, 1690, 6017, 31116, 825, 533, 12893, 284, 14277, 15686, 14824, 298, 29646, 31116, 825, 533, 14138, 284, 14277, 14321, 14824, 298, 597, 7666, 714, 6017, 31116, 825, 533, 14056, 284, 14277, 1708, 14824, 298, 597, 756, 10620, 31116, 825, 533, 14093, 284, 14277, 5002, 14824, 298, 17703, 7159, 31116, 825, 533, 15686, 284, 14277, 13932, 14824, 17442, 657, 31116, 825, 533, 6344, 284, 14277, 6344, 14824, 299, 525, 1054, 334, 31116, 825, 533, 13199, 284, 14277, 2190, 14824, 4131, 8205, 31116, 825, 533, 14338, 284, 14277, 4489, 14824, 299, 756, 8457, 31116, 825, 533, 11277, 284, 14277, 13199, 14824, 299, 756, 4997, 31116, 825, 533, 14862, 284, 14277, 14338, 14824, 299, 28992, 31116, 825, 533, 10219, 284, 14277, 1839, 14824, 299, 773, 577, 1084, 7322, 31116, 825, 533, 14695, 284, 14277, 2918, 14824, 299, 527, 10224, 807, 31116, 825, 533, 14096, 284, 14277, 2767, 14824, 299, 5060, 10603, 584, 2998, 31116, 825, 533, 12553, 284, 14277, 13679, 14824, 21547, 7776, 31116, 825, 533, 15782, 284, 14277, 2764, 14824, 300, 3166, 8205, 31116, 825, 533, 9873, 284, 14277, 11277, 14824, 32743, 27377, 31116, 825, 533, 14530, 284, 14277, 14917, 14824, 22416, 14901, 31116, 825, 533, 15171, 284, 14277, 14862, 14824, 22416, 25596, 31116, 825, 533, 15836, 284, 14277, 15757, 14824, 300, 12245, 643, 553, 31116, 825, 533, 16328, 284, 14277, 10219, 14824, 300, 8932, 31116, 825, 533, 13670, 284, 14277, 3066, 14824, 22416, 3279, 31116, 825, 533, 15793, 284, 14277, 12553, 14824, 11321, 745, 1815, 657, 31116, 825, 533, 15389, 284, 14277, 10170, 14824, 32354, 3821, 31116, 825, 533, 15946, 284, 14277, 14096, 14824, 300, 4768, 545, 1470, 31116, 825, 533, 16928, 284, 14277, 14695, 14824, 300, 4768, 11939, 807, 31116, 825, 533, 9610, 284, 14277, 7906, 14824, 300, 1410, 4815, 31116, 825, 533, 15221, 284, 14277, 13078, 14824, 31466, 14772, 807, 31116, 825, 533, 16318, 284, 14277, 1789, 14824, 300, 1245, 822, 807, 31116, 825, 533, 16960, 284, 14277, 4029, 14824, 12507, 23147, 31116, 825, 533, 13893, 284, 14277, 12739, 14824, 300, 784, 16288, 31116, 825, 533, 13970, 284, 14277, 7761, 14824, 12507, 1206, 518, 7806, 31116, 825, 533, 16409, 284, 14277, 15782, 14824, 300, 9926, 3711, 1664, 31116, 825, 533, 15704, 284, 14277, 9873, 14824, 301, 600, 28992, 31116, 825, 533, 16825, 284, 14277, 18684, 14824, 301, 4768, 340, 31116, 825, 533, 14983, 284, 14277, 15433, 14824, 301, 788, 531, 31116, 825, 533, 5611, 284, 14277, 10619, 14824, 301, 545, 31804, 7699, 31116, 825, 533, 14681, 284, 14277, 14530, 14824, 301, 9528, 31116, 825, 533, 13923, 284, 14277, 15171, 14824, 301, 12342, 31116, 825, 533, 14631, 284, 14277, 3451, 14824, 301, 528, 826, 8615, 31116, 825, 533, 15150, 284, 14277, 21709, 14824, 301, 826, 9366, 2836, 539, 8205, 31116, 825, 533, 14028, 284, 14277, 21172, 14824, 301, 826, 9366, 2098, 601, 7701, 31116, 825, 533, 14444, 284, 14277, 4572, 14824, 302, 2006, 31116, 825, 533, 14991, 284, 14277, 14378, 14824, 303, 8140, 31116, 825, 533, 15647, 284, 14277, 20385, 14824, 21595, 879, 31116, 825, 533, 14689, 284, 14277, 4037, 14824, 32292, 4821, 31116, 825, 533, 8182, 284, 14277, 13975, 14824, 303, 777, 7699, 715, 826, 9366, 19892, 31116, 825, 533, 14065, 284, 14277, 11011, 14824, 13640, 16331, 599, 31116, 825, 533, 14341, 284, 14277, 10844, 14824, 8110, 340, 31116, 825, 533, 14321, 284, 14277, 1220, 14824, 21691, 1149, 807, 25845, 320, 31116, 825, 533, 13932, 284, 14277, 4097, 14824, 21691, 8205, 31116, 825, 533, 13679, 284, 14277, 3374, 14824, 21545, 1872, 531, 31116, 825, 533, 14917, 284, 14277, 10602, 14824, 303, 340, 15300, 22656, 31116, 825, 533, 15757, 284, 14277, 4350, 14824, 304, 20345, 31116, 825, 533, 12739, 284, 14277, 3393, 14824, 3725, 3626, 1133, 18480, 31116, 825, 533, 15433, 284, 14277, 10755, 14824, 11847, 269, 2578, 549, 2378, 878, 3570, 31116, 825, 533, 10204, 284, 14277, 1556, 14824, 11847, 269, 4258, 8619, 31116, 825, 533, 14378, 284, 14277, 8287, 14824, 11847, 269, 18067, 545, 3570, 31116, 825, 533, 15094, 284, 14277, 16328, 14824, 305, 340, 7701, 31116, 825, 533, 15876, 284, 14277, 3607, 14824, 305, 3861, 807, 31116, 825, 533, 14690, 284, 14277, 4391, 14824, 305, 639, 807, 31116, 825, 533, 11260, 284, 14277, 15704, 14824, 306, 1695, 4673, 12769, 1211, 531, 31116, 825, 533, 12293, 284, 14277, 21076, 14824, 21579, 10394, 31116, 825, 533, 10082, 284, 14277, 4343, 14824, 26596, 3057, 3626, 31116, 825, 533, 9965, 284, 14277, 13670, 14824, 306, 7776, 570, 727, 586, 11010, 10360, 31116, 825, 533, 9692, 284, 14277, 15793, 14824, 25938, 20235, 31116, 825, 533, 5197, 284, 14277, 15389, 14824, 5353, 26338, 3559, 956, 31116, 825, 533, 8687, 284, 14277, 15946, 14824, 306, 20346, 2274, 7431, 31116, 825, 533, 9264, 284, 14277, 15876, 14824, 306, 532, 777, 584, 31116, 825, 533, 8146, 284, 14277, 13136, 14824, 306, 597, 807, 31116, 825, 533, 7277, 284, 14277, 16928, 14824, 306, 10095, 807, 31116, 825, 533, 6977, 284, 14277, 11260, 14824, 306, 686, 20092, 31116, 825, 533, 5908, 284, 14277, 4281, 14824, 1805, 269, 30647, 550, 586, 717, 1066, 611, 1149, 31116, 825, 533, 6942, 284, 14277, 6507, 14824, 1805, 14389, 527, 1206, 1299, 3026, 6665, 31116, 825, 533, 6642, 284, 14277, 15221, 14824, 306, 644, 534, 31116, 825, 533, 6245, 284, 14277, 6078, 14824, 306, 826, 25556, 31116, 825, 533, 5002, 284, 14277, 5655, 14824, 22296, 21289, 31116, 825, 533, 4489, 284, 14277, 11152, 14824, 20776, 11908, 552, 594, 269, 9995, 16049, 31116, 825, 533, 4572, 284, 14277, 9610, 14824, 306, 3120, 325, 878, 320, 31116, 825, 533, 4350, 284, 14277, 11463, 14824, 20776, 514, 600, 31116, 825, 533, 3707, 284, 14277, 16318, 14824, 18933, 1794, 559, 663, 807, 31116, 825, 533, 4198, 284, 14277, 9965, 14824, 307, 16233, 807, 31116, 825, 533, 3422, 284, 14277, 12293, 14824, 307, 2967, 9774, 31116, 825, 533, 3192, 284, 14277, 10082, 14824, 307, 1690, 1731, 6017, 31116, 825, 533, 2735, 284, 14277, 16960, 14824, 307, 11961, 16492, 31116, 825, 533, 1960, 284, 14277, 13893, 14824, 307, 690, 334, 31116, 825, 533, 1220, 284, 14277, 22659, 14824, 307, 784, 320, 31116, 825, 533, 1001, 284, 14277, 8064, 14824, 307, 12541, 21059, 586, 18578, 6210, 31116, 825, 533, 1708, 284, 14277, 13970, 14824, 307, 2317, 345, 31116, 825, 533, 10711, 284, 14277, 9692, 14824, 307, 24642, 5443, 6017, 31116, 825, 533, 14225, 284, 14277, 6246, 14824, 307, 584, 638, 807, 31116, 825, 533, 13078, 284, 14277, 20969, 14824, 307, 340, 1998, 340, 31116, 825, 533, 18684, 284, 14277, 4510, 14824, 308, 322, 3757, 807, 31116, 825, 533, 21709, 284, 14277, 16409, 14824, 308, 326, 7701, 31116, 825, 533, 21172, 284, 14277, 4817, 14824, 308, 2607, 340, 599, 31116, 825, 533, 20385, 284, 14277, 5197, 14824, 308, 345, 31990, 6017, 31116, 825, 533, 13975, 284, 14277, 21497, 14824, 309, 534, 340, 520, 340, 31116, 825, 533, 21076, 284, 14277, 5379, 14824, 309, 1738, 8457, 31116, 825, 533, 18891, 284, 14277, 9834, 14824, 309, 20318, 21731, 31116, 825, 533, 22659, 284, 14277, 8687, 14824, 309, 28126, 31116, 825, 533, 20969, 284, 14277, 3422, 14824, 312, 18779, 31116, 825, 533, 21497, 284, 14277, 11820, 14824, 312, 756, 583, 328, 31116, 825, 533, 21327, 284, 14277, 5325, 14824, 312, 1872, 27382, 807, 31116, 825, 533, 24241, 284, 14277, 16825, 14824, 313, 18311, 31116, 825, 533, 25908, 284, 14277, 14983, 14824, 313, 25995, 31116, 825, 533, 25546, 284, 14277, 5611, 14824, 313, 23000, 31116, 8931, 825, 524, 20216, 31146, 2891, 27486, 12224, 5442, 15674, 17328, 2478, 966, 3201, 308, 2464, 630, 29845, 24047, 2580, 335, 271, 994, 825, 524, 20216, 31146, 2891, 27486, 12224, 883, 17328, 2478, 966, 3201, 308, 2464, 630, 29845, 24047, 2580, 335, 272, 994, 825, 524, 20216, 31146, 2891, 27486, 12224, 883, 17328, 2478, 966, 3201, 308, 2464, 630, 29845, 24047, 2580, 335, 273, 994, 825, 524, 20216, 31146, 2891, 27486, 12224, 883, 17328, 2478, 966, 3201, 308, 2464, 630, 29845, 24047, 2580, 335, 274, 994, 825, 524, 20216, 31146, 2891, 27486, 12224, 883, 17328, 2478, 966, 3201, 308, 2464, 630, 29845, 24047, 2580, 335, 275, 264, 28768, 825, 524, 20216, 31146, 2891, 27486, 12224, 883, 17328, 2478, 966, 3201, 308, 2464, 630, 29845, 24047, 2580, 335, 276, 994, 825, 524, 20216, 31146, 2891, 27486, 12224, 883, 17328, 2478, 966, 3201, 308, 2464, 630, 29845, 24047, 2580, 335, 277, 994, 825, 524, 20216, 31146, 2891, 27486, 12224, 883, 17328, 2478, 966, 3201, 308, 2464, 630, 29845, 24047, 2580, 335, 278, 994, 825, 524, 20216, 31146, 2891, 27486, 12224, 883, 17328, 2478, 966, 3201, 308, 2464, 630, 29845, 24047, 2580, 335, 279, 994, 825, 524, 20216, 31146, 2891, 27486, 12224, 883, 17328, 2478, 966, 3201, 308, 2464, 630, 29845, 24047, 2580, 335, 280, 264, 28768, 825, 524, 20216, 31146, 2891, 27486, 12224, 883, 17328, 2478, 966, 3201, 308, 2464, 630, 29845, 24047, 2580, 335, 1015, 994, 825, 524, 20216, 31146, 2891, 27486, 12224, 883, 17328, 2478, 966, 3201, 308, 2464, 630, 29845, 24047, 2580, 335, 1556, 994, 825, 524, 20216, 31146, 2891, 27486, 12224, 883, 17328, 2478, 966, 3201, 308, 2464, 630, 29845, 24047, 2580, 335, 1321, 994, 825, 524, 20216, 31146, 2891, 27486, 12224, 883, 17328, 2478, 966, 3201 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]